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202013202322120 = 23571758772299401
BaseRepresentation
bin101101111011101011011101…
…001010100001001011001000
3222111021021101101222100202211
4231323223131022201023020
5202434241014243301440
61553351330050034504
760356654321565610
oct5573533512411310
9874237341870684
10202013202322120
1159405355268152
121a7a7618878a34
1388949bcab3177
1437c56c3a67a40
151854c61135eea
hexb7badd2a12c8

202013202322120 has 128 divisors (see below), whose sum is σ = 550956146952960. Its totient is φ = 65076400742400.

The previous prime is 202013202322097. The next prime is 202013202322153. The reversal of 202013202322120 is 21223202310202.

It is a junction number, because it is equal to n+sod(n) for n = 202013202322091 and 202013202322100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33355581 + ... + 38943820.

It is an arithmetic number, because the mean of its divisors is an integer number (4304344898070).

Almost surely, 2202013202322120 is an apocalyptic number.

202013202322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202013202322120 is an abundant number, since it is smaller than the sum of its proper divisors (348942944630840).

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

202013202322120 is a wasteful number, since it uses less digits than its factorization.

202013202322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72300023 (or 72300019 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 202013202322120 its reverse (21223202310202), we get a palindrome (223236404632322).

The spelling of 202013202322120 in words is "two hundred two trillion, thirteen billion, two hundred two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 587 595 680 952 1174 1190 2348 2380 2935 4109 4696 4760 5870 8218 9979 11740 16436 19958 20545 23480 32872 39916 41090 49895 69853 79832 82180 99790 139706 164360 199580 279412 349265 399160 558824 698530 1397060 2794120 72299401 144598802 289197604 361497005 506095807 578395208 722994010 1012191614 1229089817 1445988020 2024383228 2458179634 2530479035 2891976040 4048766456 4916359268 5060958070 6145449085 8603628719 9832718536 10121916140 12290898170 17207257438 20243832280 24581796340 34414514876 42439748387 43018143595 49163592680 68829029752 84879496774 86036287190 169758993548 172072574380 212198741935 297078238709 339517987096 344145148760 424397483870 594156477418 721475722579 848794967740 1188312954836 1442951445158 1485391193545 1697589935480 2376625909672 2885902890316 2970782387090 3607378612895 5050330058053 5771805780632 5941564774180 7214757225790 10100660116106 11883129548360 14429514451580 20201320232212 25251650290265 28859028903160 40402640464424 50503300580530 101006601161060 202013202322120