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1002020121102 = 2371113433879919
BaseRepresentation
bin11101001010011010000…
…11011010101000001110
310112210101111122012200010
432211031003122220032
5112404114122333402
62044153252414050
7132251664332640
oct16451503325016
93483344565603
101002020121102
11356a55265870
12142246617326
137364a969480
14366d885c890
151b0e8ca0a6c
hexe94d0daa0e

1002020121102 has 128 divisors (see below), whose sum is σ = 2753315389440. Its totient is φ = 234657440640.

The previous prime is 1002020121061. The next prime is 1002020121119. The reversal of 1002020121102 is 2011210202001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1681702 + ... + 2198217.

It is an arithmetic number, because the mean of its divisors is an integer number (21510276480).

Almost surely, 21002020121102 is an apocalyptic number.

1002020121102 is an abundant number, since it is smaller than the sum of its proper divisors (1751295268338).

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

1002020121102 is a wasteful number, since it uses less digits than its factorization.

1002020121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879998.

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

Adding to 1002020121102 its reverse (2011210202001), we get a palindrome (3013230323103).

The spelling of 1002020121102 in words is "one trillion, two billion, twenty million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 43 66 77 78 86 91 129 143 154 182 231 258 273 286 301 429 462 473 546 559 602 858 903 946 1001 1118 1419 1677 1806 2002 2838 3003 3311 3354 3913 6006 6149 6622 7826 9933 11739 12298 18447 19866 23478 36894 43043 86086 129129 258258 3879919 7759838 11639757 23279514 27159433 42679109 50438947 54318866 81478299 85358218 100877894 128037327 151316841 162956598 166836517 256074654 298753763 302633682 333673034 353072629 500509551 554828417 597507526 706145258 896261289 1001019102 1059217887 1109656834 1167855619 1664485251 1792522578 1835201687 2118435774 2168874721 2335711238 3328970502 3503566857 3670403374 3883798919 4337749442 5505605061 6506624163 7007133714 7767597838 11011210122 11651396757 12846411809 13013248326 15182123047 23302793514 23857621931 25692823618 30364246094 38539235427 45546369141 47715243862 71572865793 77078470854 91092738282 143145731586 167003353517 334006707034 501010060551 1002020121102