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210020211010112 = 26292691792123473
BaseRepresentation
bin101111110000001100100100…
…000100101010101001000000
31000112121201212121110000002212
4233300030210010222221000
5210011432343004310422
62022401541502401252
762144313420510626
oct5760144404525100
91015551777400085
10210020211010112
1160a12086999408
121b67b3a7890228
139025a89732889
1439c1065085516
15194319352e9e2
hexbf032412aa40

210020211010112 has 112 divisors (see below), whose sum is σ = 432775147503600. Its totient is φ = 101002216734720.

The previous prime is 210020211010109. The next prime is 210020211010153. The reversal of 210020211010112 is 211010112020012.

It can be written as a sum of positive squares in 8 ways, for example, as 12347183988736 + 197673027021376 = 3513856^2 + 14059624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8947298408 + ... + 8947321880.

Almost surely, 2210020211010112 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 210020211010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216387573751800).

210020211010112 is an abundant number, since it is smaller than the sum of its proper divisors (222754936493488).

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

210020211010112 is a wasteful number, since it uses less digits than its factorization.

210020211010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41704 (or 41694 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210020211010112 its reverse (211010112020012), we get a palindrome (421030323030124).

The spelling of 210020211010112 in words is "two hundred ten trillion, twenty billion, two hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 269 464 538 928 1076 1856 2152 4304 7801 8608 15602 17216 17921 23473 31204 35842 46946 62408 71684 93892 124816 143368 187784 249632 286736 375568 499264 519709 573472 680717 751136 1039418 1146944 1361434 1502272 2078836 2722868 4157672 4820749 5445736 6314237 8315344 9641498 10891472 12628474 16630688 19282996 21782944 25256948 33261376 38565992 43565888 50513896 77131984 101027792 139801721 154263968 183112873 202055584 279603442 308527936 366225746 404111168 420659633 559206884 732451492 841319266 1118413768 1464902984 1682638532 2236827536 2929805968 3365277064 4473655072 5859611936 6730554128 8947310144 11719223872 12199129357 13461108256 24398258714 26922216512 48796517428 97593034856 113157441277 195186069712 226314882554 390372139424 452629765108 780744278848 905259530216 1810519060432 3281565797033 3621038120864 6563131594066 7242076241728 13126263188132 26252526376264 52505052752528 105010105505056 210020211010112