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202130213100102 = 232723127043273367
BaseRepresentation
bin101101111101011000011011…
…100011001101101001000110
3222111200110102002101202112200
4231331120123203031221012
5202443200134023200402
61553521201001055330
760401266053025200
oct5575303343155106
9874613362352480
10202130213100102
115944aa3a853551
121a806233487546
1388a2a498ba9c1
1437cb223db1770
151857d0d97621c
hexb7d61b8cda46

202130213100102 has 144 divisors (see below), whose sum is σ = 525905900762112. Its totient is φ = 55886267092320.

The previous prime is 202130213100061. The next prime is 202130213100103. The reversal of 202130213100102 is 201001312031202.

202130213100102 is a `hidden beast` number, since 20 + 21 + 302 + 1 + 310 + 0 + 10 + 2 = 666.

202130213100102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202130213100103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 739273023 + ... + 739546389.

It is an arithmetic number, because the mean of its divisors is an integer number (3652124310848).

Almost surely, 2202130213100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202130213100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262952950381056).

202130213100102 is an abundant number, since it is smaller than the sum of its proper divisors (323775687662010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202130213100102 is a wasteful number, since it uses less digits than its factorization.

202130213100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300463 (or 300453 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202130213100102 its reverse (201001312031202), we get a palindrome (403131525131304).

The spelling of 202130213100102 in words is "two hundred two trillion, one hundred thirty billion, two hundred thirteen million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3038 3906 4557 9114 13671 27043 27342 54086 81129 162258 189301 243387 273367 378602 486774 546734 567903 820101 838333 1135806 1325107 1640202 1676666 1703709 1913569 2460303 2514999 2650214 3407418 3827138 3975321 4920606 5029998 5740707 5868331 7544997 7950642 8474377 11481414 11736662 11925963 13394983 15089994 16948754 17222121 17604993 23851926 25423131 26789966 34444242 35209986 40184949 41078317 50846262 52814979 59320639 76269393 80369898 82156634 105629958 118641278 120554847 123234951 152538786 177961917 241109694 246469902 355923834 369704853 415244473 533885751 739409706 830488946 1067771502 1245733419 2491466838 3737200257 7392663781 7474400514 14785327562 22177991343 44355982686 51748646467 66533974029 103497292934 133067948058 155245939401 229172577211 310491878802 362240525269 458345154422 465737818203 687517731633 724481050538 931475636406 1086721575807 1375035463266 1604208040477 2062553194899 2173443151614 3208416080954 3260164727421 4125106389798 4812624121431 6520329454842 9625248242862 11229456283339 14437872364293 22458912566678 28875744728586 33688368850017 67376737700034 101065106550051 202130213100102