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202210202202112 = 2121321089180071
BaseRepresentation
bin101101111110100010111011…
…010001011011000000000000
3222111222002212200000011022101
4231332202323101123000000
5203001002443230431422
61554022030125120144
760410130213130216
oct5576427321330000
9874862780004271
10202210202202112
1159480957596825
121a8198376b9054
1388aa4566a82b0
1437d1051510cb6
151859e40ee0c27
hexb7e8bb45b000

202210202202112 has 104 divisors (see below), whose sum is σ = 435499568975520. Its totient is φ = 93322841948160.

The previous prime is 202210202202077. The next prime is 202210202202143. The reversal of 202210202202112 is 211202202012202.

It is a tau number, because it is divible by the number of its divisors (104).

It is a self number, because there is not a number n which added to its sum of digits gives 202210202202112.

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, 1122857037 + ... + 1123037107.

Almost surely, 2202210202202112 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 202210202202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217749784487760).

202210202202112 is an abundant number, since it is smaller than the sum of its proper divisors (233289366773408).

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

202210202202112 is a wasteful number, since it uses less digits than its factorization.

202210202202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201197 (or 201175 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 202210202202112 its reverse (211202202012202), we get a palindrome (413412404214314).

The spelling of 202210202202112 in words is "two hundred two trillion, two hundred ten billion, two hundred two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 13312 21089 26624 42178 53248 84356 168712 180071 274157 337424 360142 548314 674848 720284 1096628 1349696 1440568 2193256 2340923 2699392 2881136 4386512 4681846 5398784 5762272 8773024 9363692 10797568 11524544 17546048 18727384 21595136 23049088 35092096 37454768 43190272 46098176 70184192 74909536 86380544 92196352 140368384 149819072 184392704 280736768 299638144 368785408 561473536 599276288 737570816 1122947072 1198552576 2397105152 3797517319 4794210304 7595034638 9588420608 15190069276 30380138552 49367725147 60760277104 98735450294 121520554208 197470900588 243041108416 394941801176 486082216832 789883602352 972164433664 1579767204704 1944328867328 3159534409408 3888657734656 6319068818816 7777315469312 12638137637632 15554630938624 25276275275264 50552550550528 101105101101056 202210202202112