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202210012122112 = 2101132591674461
BaseRepresentation
bin101101111110100010101111…
…111100010100110000000000
3222111222002101102100002120101
4231332202233330110300000
5203001002101100401422
61554021555215052144
760410122414360141
oct5576425774246000
9874862342302511
10202210012122112
115948086a269915
121a8197a3b11054
1388aa4261b5317
1437d1034191ac8
151859e2e495c27
hexb7e8aff14c00

202210012122112 has 88 divisors (see below), whose sum is σ = 407957740002432. Its totient is φ = 100171446681600.

The previous prime is 202210012122091. The next prime is 202210012122143. The reversal of 202210012122112 is 211221210012202.

202210012122112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202210012122112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299472562 + ... + 300147022.

Almost surely, 2202210012122112 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 202210012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203978870001216).

202210012122112 is an abundant number, since it is smaller than the sum of its proper divisors (205747727880320).

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

202210012122112 is a wasteful number, since it uses less digits than its factorization.

202210012122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677185 (or 677167 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 202210012122112 its reverse (211221210012202), we get a palindrome (413431222134314).

The spelling of 202210012122112 in words is "two hundred two trillion, two hundred ten billion, twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1024 1808 2591 3616 5182 7232 10364 14464 20728 28928 41456 57856 82912 115712 165824 292783 331648 585566 663296 674461 1171132 1326592 1348922 2342264 2653184 2697844 4684528 5395688 9369056 10791376 18738112 21582752 37476224 43165504 74952448 76214093 86331008 149904896 152428186 172662016 299809792 304856372 345324032 609712744 690648064 1219425488 1747528451 2438850976 3495056902 4877701952 6990113804 9755403904 13980227608 19510807808 27960455216 39021615616 55920910432 78043231232 111841820864 197470714963 223683641728 394941429926 447367283456 789882859852 894734566912 1579765719704 1789469133824 3159531439408 6319062878816 12638125757632 25276251515264 50552503030528 101105006061056 202210012122112