Search a number
-
+
202011121021122 = 23277739929208891
BaseRepresentation
bin101101111011101001100001…
…000110111111000011000010
3222111021002000100122022112200
4231323221201012333003002
5202434222233440133442
61553350343340334030
760356551620041640
oct5573514106770302
9874232010568480
10202011121021122
1159404487440986
121a7a7137844316
13889474a84150a
1437c5567488190
151854b8d56434c
hexb7ba611bf0c2

202011121021122 has 96 divisors (see below), whose sum is σ = 500917969169280. Its totient is φ = 57636714896640.

The previous prime is 202011121021103. The next prime is 202011121021141. The reversal of 202011121021122 is 221120121110202.

202011121021122 is a `hidden beast` number, since 20 + 201 + 1 + 1 + 210 + 211 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (202011121021103) and next prime (202011121021141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202011121021095 and 202011121021104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966960297 + ... + 967169187.

It is an arithmetic number, because the mean of its divisors is an integer number (5217895512180).

Almost surely, 2202011121021122 is an apocalyptic number.

202011121021122 is an abundant number, since it is smaller than the sum of its proper divisors (298906848148158).

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

202011121021122 is a wasteful number, since it uses less digits than its factorization.

202011121021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219608 (or 219605 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202011121021122 its reverse (221120121110202), we get a palindrome (423131242131324).

The spelling of 202011121021122 in words is "two hundred two trillion, eleven billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 773 1546 2319 4638 5411 6957 9929 10822 13914 16233 19858 29787 32466 48699 59574 69503 89361 97398 139006 178722 208509 208891 417018 417782 625527 626673 1251054 1253346 1462237 1880019 2924474 3760038 4386711 7675117 8773422 13160133 15350234 23025351 26320266 46050702 53725819 69076053 107451638 138152106 161177457 161472743 322354914 322945486 483532371 484418229 967064742 968836458 1130309201 1453254687 2074078739 2260618402 2906509374 3390927603 4148157478 6222236217 6781855206 10172782809 12444472434 14518551173 18666708651 20345565618 29037102346 37333417302 43555653519 87111307038 130666960557 261333921114 1603262865247 3206525730494 4809788595741 9619577191482 11222840056729 14429365787223 22445680113458 28858731574446 33668520170187 67337040340374 101005560510561 202011121021122