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202210011001112 = 232341179271955073
BaseRepresentation
bin101101111110100010101111…
…111000000011000100011000
3222111222002101100020010211212
4231332202233320003010120
5203001002100304013422
61554021555135042252
760410122402011002
oct5576425770030430
9874862340203755
10202210011001112
1159480869673674
121a8197a3670388
1388aa425bb1cca
1437d1033d7d372
151859e2e3239e2
hexb7e8afe03118

202210011001112 has 128 divisors (see below), whose sum is σ = 407699163648000. Its totient is φ = 93787069685760.

The previous prime is 202210011001067. The next prime is 202210011001121. The reversal of 202210011001112 is 211100110012202.

202210011001112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3671644808 + ... + 3671699880.

It is an arithmetic number, because the mean of its divisors is an integer number (3185149716000).

Almost surely, 2202210011001112 is an apocalyptic number.

It is an amenable number.

202210011001112 is an abundant number, since it is smaller than the sum of its proper divisors (205489152646888).

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

202210011001112 is a wasteful number, since it uses less digits than its factorization.

202210011001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58041 (or 58037 counting only the distinct ones).

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

Adding to 202210011001112 its reverse (211100110012202), we get a palindrome (413310121013314).

The spelling of 202210011001112 in words is "two hundred two trillion, two hundred ten billion, eleven million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 23 41 46 82 92 164 179 184 328 358 716 943 1432 1886 2719 3772 4117 5438 7339 7544 8234 10876 14678 16468 21752 29356 32936 55073 58712 62537 110146 111479 125074 168797 220292 222958 250148 337594 440584 445916 486701 500296 675188 891832 973402 1266679 1350376 1946804 2257993 2533358 2564017 3893608 4515986 5066716 5128034 9031972 9858067 10133432 10256068 11194123 18063944 19716134 19954741 20512136 22388246 39432268 39909482 44776492 51933839 78864536 79818964 89552984 103867678 149743487 159637928 207735356 226735541 299486974 404180747 415470712 453471082 458959043 598973948 808361494 906942164 917918086 1197947896 1616722988 1813884328 1835836172 3233445976 3444100201 3671672344 6139482967 6888200402 9296157181 12278965934 13776400804 18592314362 24557931868 26804084173 27552801608 37184628724 49115863736 53608168346 74369257448 107216336692 141208108241 214432673384 282416216482 564832432964 616493935979 1098967451093 1129664865928 1232987871958 2197934902186 2465975743916 4395869804372 4931951487832 8791739608744 25276251375139 50552502750278 101105005500556 202210011001112