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100200030210 = 2345732095507
BaseRepresentation
bin101110101010001100…
…0110010000000000010
3100120122010000221010000
41131110120302000002
53120202201431320
6114010430220430
710145023126650
oct1352430620002
9316563027100
10100200030210
1139549339825
1217504954716
1395ab0a7707
144bc784ddd0
152916a9cc90
hex1754632002

100200030210 has 160 divisors (see below), whose sum is σ = 308068168320. Its totient is φ = 22891569408.

The previous prime is 100200030199. The next prime is 100200030211. The reversal of 100200030210 is 12030002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100200030192 and 100200030201.

It is not an unprimeable number, because it can be changed into a prime (100200030211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18192277 + ... + 18197783.

It is an arithmetic number, because the mean of its divisors is an integer number (1925426052).

Almost surely, 2100200030210 is an apocalyptic number.

100200030210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200030210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154034084160).

100200030210 is an abundant number, since it is smaller than the sum of its proper divisors (207868138110).

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

100200030210 is a wasteful number, since it uses less digits than its factorization.

100200030210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100200030210 its reverse (12030002001), we get a palindrome (112230032211).

The spelling of 100200030210 in words is "one hundred billion, two hundred million, thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 3209 5507 5670 6418 9627 11014 16045 16521 19254 22463 27535 28881 32090 33042 38549 44926 48135 49563 55070 57762 67389 77098 82605 86643 96270 99126 112315 115647 134778 144405 148689 165210 173286 192745 202167 224630 231294 247815 259929 288810 297378 336945 346941 385490 404334 433215 446067 495630 519858 578235 606501 673890 693882 743445 866430 892134 1010835 1040823 1156470 1213002 1299645 1486890 1734705 1819503 2021670 2081646 2230335 2599290 3032505 3122469 3469410 3639006 4460670 5204115 6065010 6244938 9097515 10408230 15612345 17671963 18195030 31224690 35343926 53015889 88359815 106031778 123703741 159047667 176719630 247407482 265079445 318095334 371111223 477143001 530158890 618518705 742222446 795238335 954286002 1113333669 1237037410 1431429003 1590476670 1855556115 2226667338 2385715005 2862858006 3340001007 3711112230 4771430010 5566668345 6680002014 7157145015 10020003021 11133336690 14314290030 16700005035 20040006042 33400010070 50100015105 100200030210