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100102001010102 = 232721345611914127
BaseRepresentation
bin10110110000101011010000…
…001101100010010110110110
3111010102122202120012201100200
4112300223100031202112312
5101110032344224310402
6552522120250221330
730041062621340400
oct2660532015422666
9433378676181320
10100102001010102
1129994024a09833
12b288531724846
1343b1769394720
141aa0d69911b70
15b88d3951b21c
hex5b0ad03625b6

100102001010102 has 144 divisors (see below), whose sum is σ = 271765144752192. Its totient is φ = 26394725629440.

The previous prime is 100102001010097. The next prime is 100102001010113. The reversal of 100102001010102 is 201010100201001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51339363 + ... + 53253489.

It is an arithmetic number, because the mean of its divisors is an integer number (1887257949668).

Almost surely, 2100102001010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102001010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135882572376096).

100102001010102 is an abundant number, since it is smaller than the sum of its proper divisors (171663143742090).

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

100102001010102 is a wasteful number, since it uses less digits than its factorization.

100102001010102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918723 (or 1918713 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102001010102 its reverse (201010100201001), we get a palindrome (301112101211103).

The spelling of 100102001010102 in words is "one hundred trillion, one hundred two billion, one million, ten thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 4561 5733 9122 11466 13683 27366 31927 41049 59293 63854 82098 95781 118586 177879 191562 223489 287343 355758 415051 446978 533637 574686 670467 830102 1067274 1245153 1340934 1914127 2011401 2490306 2905357 3735459 3828254 4022802 5742381 5810714 7470918 8716071 11484762 13398889 17227143 17432142 24883651 26148213 26797778 34454286 40196667 49767302 52296426 74650953 80393334 93792223 120590001 149301906 174185557 187584446 223952859 241180002 281376669 348371114 447905718 522556671 562753338 844130007 1045113342 1219298899 1567670013 1688260014 2438597798 3135340026 3657896697 7315793394 8730333247 10973690091 17460666494 21947380182 26190999741 52381999482 61112332729 78572999223 113494332211 122224665458 157145998446 183336998187 226988664422 340482996633 366673996374 427786329103 550010994561 680965993266 794460325477 855572658206 1021448989899 1100021989122 1283358987309 1588920650954 2042897979798 2383380976431 2566717974618 3850076961927 4766761952862 5561222278339 7150142929293 7700153923854 11122444556678 14300285858586 16683666835017 33367333670034 50051000505051 100102001010102