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1002102212202 = 237138961333641
BaseRepresentation
bin11101001010100011111…
…00100100011001101010
310112210121020002212111020
432211101330210121222
5112404301131242302
62044205344113310
7132254012155410
oct16452174443152
93483536085436
101002102212202
11356a97635053
1214226a005836
137366197c5a0
143670570b2b0
151b1010b8ebc
hexe951f2466a

1002102212202 has 128 divisors (see below), whose sum is σ = 2498572500480. Its totient is φ = 260887080960.

The previous prime is 1002102212143. The next prime is 1002102212239. The reversal of 1002102212202 is 2022122012001.

1002102212202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29771302 + ... + 29804942.

It is an arithmetic number, because the mean of its divisors is an integer number (19520097660).

Almost surely, 21002102212202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002102212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249286250240).

1002102212202 is an abundant number, since it is smaller than the sum of its proper divisors (1496470288278).

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

1002102212202 is a wasteful number, since it uses less digits than its factorization.

1002102212202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34368.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002102212202 its reverse (2022122012001), we get a palindrome (3024224224203).

The spelling of 1002102212202 in words is "one trillion, two billion, one hundred two million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 89 91 178 182 267 273 534 546 613 623 1157 1226 1246 1839 1869 2314 3471 3678 3738 4291 6942 7969 8099 8582 12873 15938 16198 23907 24297 25746 33641 47814 48594 54557 55783 67282 100923 109114 111566 163671 167349 201846 235487 327342 334698 381899 437333 470974 706461 709241 763798 874666 1145697 1311999 1412922 1418482 2127723 2291394 2623998 2994049 3061331 4255446 4964687 5988098 6122662 8982147 9183993 9929374 14894061 17964294 18367986 20621933 20958343 29788122 38922637 41243866 41916686 61865799 62875029 77845274 116767911 123731598 125750058 144353531 233535822 268085129 272458459 288707062 433060593 536170258 544916918 804255387 817375377 866121186 1608510774 1634750754 1835352037 1876595903 3670704074 3753191806 5506056111 5629787709 11012112222 11259575418 12847464259 23859576481 25694928518 38542392777 47719152962 71578729443 77084785554 143157458886 167017035367 334034070734 501051106101 1002102212202