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20212133121202 = 21123593379712069
BaseRepresentation
bin1001001100010000000010…
…00000111100110010110010
32122120021001022100121110111
410212020001000330302302
510122123422034334302
6110553154211051534
74154164333553041
oct446100100746262
978507038317414
1020212133121202
116492a10243830
1223252b65a0baa
13b37cc4206a69
144dc3b58d0558
15250b6d5c40d7
hex12620103ccb2

20212133121202 has 128 divisors (see below), whose sum is σ = 35254803916800. Its totient is φ = 8600272665600.

The previous prime is 20212133121199. The next prime is 20212133121247.

20212133121202 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 9769033824 + ... + 9769035892.

It is an arithmetic number, because the mean of its divisors is an integer number (275428155600).

Almost surely, 220212133121202 is an apocalyptic number.

20212133121202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20212133121202 is a deficient number, since it is larger than the sum of its proper divisors (15042670795598).

20212133121202 is a wasteful number, since it uses less digits than its factorization.

20212133121202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 2021213 and 3121202, that added together give a palindrome (5142415).

The spelling of 20212133121202 in words is "twenty trillion, two hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 11 22 23 46 59 118 253 337 506 649 674 971 1298 1357 1942 2069 2714 3707 4138 7414 7751 10681 14927 15502 19883 21362 22333 22759 29854 39766 44666 45518 47587 57289 85261 95174 114578 122071 170522 218713 244142 245663 327227 437426 457309 491326 523457 630179 654454 697253 914618 1046914 1260358 1317647 1342781 1394506 2008999 2635294 2685562 2807633 3599497 4017998 5030399 5615266 7198994 7526221 7669783 10060798 14494117 15052442 15339566 16036819 19306393 22098989 28988234 30883963 32073638 38612786 41137927 44197978 46206977 61767926 82275854 82788431 92413954 118530941 165576862 176405009 212370323 237061882 352810018 424740646 444047039 452517197 508276747 677032663 888094078 905034394 946172321 1016553494 1303840351 1354065326 1892344642 2607680702 2726211643 4884517429 5452423286 7447359293 9769034858 10407895531 14894718586 15571751249 20815791062 29988328073 31143502498 39944927117 59976656146 79889854234 171289263739 342578527478 439394198287 878788396574 918733323691 1837466647382 10106066560601 20212133121202