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100010202201012 = 22361347655160103
BaseRepresentation
bin10110101111010101110000…
…100100110111101110110100
3111010002212210221120001001110
4112233111300210313232310
5101102031343230413022
6552412015211155020
730031333020336435
oct2657256044675664
9433085727501043
10100010202201012
11299590a7977864
12b272792445a70
1343a5bc99ab48c
141a9a73bb6b48c
15b867652be00c
hex5af570937bb4

100010202201012 has 96 divisors (see below), whose sum is σ = 237906457012224. Its totient is φ = 32690199024000.

The previous prime is 100010202201011. The next prime is 100010202201043. The reversal of 100010202201012 is 210102202010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010202201011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1663950153 + ... + 1664010255.

It is an arithmetic number, because the mean of its divisors is an integer number (2478192260544).

Almost surely, 2100010202201012 is an apocalyptic number.

100010202201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010202201012 is an abundant number, since it is smaller than the sum of its proper divisors (137896254811212).

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

100010202201012 is a wasteful number, since it uses less digits than its factorization.

100010202201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67069 (or 67067 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100010202201012 its reverse (210102202010001), we get a palindrome (310112404211013).

The spelling of 100010202201012 in words is "one hundred trillion, ten billion, two hundred two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 61 122 183 244 347 366 694 732 1041 1388 2082 4164 6551 13102 19653 21167 26204 39306 42334 60103 63501 78612 84668 120206 127002 180309 240412 254004 360618 399611 721236 799222 1198833 1598444 2273197 2397666 3666283 4546394 4795332 6819591 7332566 9092788 10998849 13639182 14665132 20855741 21997698 27278364 41711482 43995396 62567223 83422964 125134446 138665017 250268892 277330034 393734753 415995051 554660068 787469506 831990102 1181204259 1272200201 1574939012 1663980204 2362408518 2544400402 3816600603 4724817036 5088800804 7633201206 15266402412 24017819933 48035639866 72053459799 96071279732 136625959291 144106919598 273251918582 288213839196 409877877873 546503837164 819755755746 1639511511492 8334183516751 16668367033502 25002550550253 33336734067004 50005101100506 100010202201012