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202010200010988 = 2231925110973217793
BaseRepresentation
bin101101111011101000101010…
…001101100111000011101100
3222111020222122011121011011020
4231323220222031213003230
5202434213342200322423
61553350112120054140
760356520034426125
oct5573505215470354
9874228564534136
10202010200010988
1159404054569386
121a7a6b1b304350
138894631a9c9c5
1437c54bb01d04c
151854b377874e3
hexb7ba2a3670ec

202010200010988 has 96 divisors (see below), whose sum is σ = 498596408029440. Its totient is φ = 63480600576000.

The previous prime is 202010200010987. The next prime is 202010200011049. The reversal of 202010200010988 is 889010002010202.

It is a super-2 number, since 2×2020102000109882 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202010200010981) 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, 61170220 + ... + 64388012.

It is an arithmetic number, because the mean of its divisors is an integer number (5193712583640).

Almost surely, 2202010200010988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202010200010988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249298204014720).

202010200010988 is an abundant number, since it is smaller than the sum of its proper divisors (296586208018452).

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

202010200010988 is a wasteful number, since it uses less digits than its factorization.

202010200010988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219167 (or 3219165 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 202010200010988 in words is "two hundred two trillion, ten billion, two hundred million, ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 251 502 753 1004 1097 1506 2194 3012 3291 4388 4769 6582 9538 13164 14307 19076 20843 28614 41686 57228 62529 83372 125058 250116 275347 550694 826041 1101388 1652082 3217793 3304164 5231593 6435586 9653379 10463186 12871172 15694779 19306758 20926372 31389558 38613516 61138067 62779116 122276134 183414201 244552268 366828402 733656804 807666043 1615332086 2422998129 3230664172 3529918921 4845996258 7059837842 9691992516 10589756763 14119675684 15345654817 21179513526 30691309634 42359027052 46036964451 61382619268 67068459499 92073928902 134136918998 184147857804 201205378497 268273837996 402410756994 804821513988 886009649171 1772019298342 2658028947513 3544038596684 5316057895026 10632115790052 16834183334249 33668366668498 50502550002747 67336733336996 101005100005494 202010200010988