Search a number
-
+
210202100212122 = 232891516571132241
BaseRepresentation
bin101111110010110101111101…
…100000111010000110011010
31000120021010100210001211022100
4233302311331200322012122
5210022422400123241442
62023021302311304230
762163412666305414
oct5762657540720632
91016233323054270
10210202100212122
1160a82234680a67
121b6aa6aa07b076
139039c85899b25
1439c9b9bb379b4
151947c8ba1184c
hexbf2d7d83a19a

210202100212122 has 96 divisors (see below), whose sum is σ = 463679257092480. Its totient is φ = 68810290560000.

The previous prime is 210202100212109. The next prime is 210202100212141. The reversal of 210202100212122 is 221212001202012.

It is a happy number.

210202100212122 is a `hidden beast` number, since 210 + 20 + 2 + 100 + 212 + 122 = 666.

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 = 210202100212095 and 210202100212104.

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, 1589471922 + ... + 1589604162.

It is an arithmetic number, because the mean of its divisors is an integer number (4829992261380).

Almost surely, 2210202100212122 is an apocalyptic number.

210202100212122 is an abundant number, since it is smaller than the sum of its proper divisors (253477156880358).

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

210202100212122 is a wasteful number, since it uses less digits than its factorization.

210202100212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139060 (or 139057 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210202100212122 its reverse (221212001202012), we get a palindrome (431414101414134).

The spelling of 210202100212122 in words is "two hundred ten trillion, two hundred two billion, one hundred million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 151 178 267 302 453 534 801 906 1359 1602 2718 6571 13142 13439 19713 26878 39426 40317 59139 80634 118278 120951 132241 241902 264482 396723 584819 793446 992221 1169638 1190169 1754457 1984442 2380338 2976663 3508914 5263371 5953326 8929989 10526742 11769449 17859978 19968391 23538898 35308347 39936782 59905173 70616694 88307669 105925041 119810346 176615338 179715519 211850082 264923007 359431038 529846014 794769021 868955611 1589538042 1737911222 1777186799 2606866833 3554373598 5213733666 5331560397 7820600499 10663120794 15641200998 15994681191 31989362382 77337049379 131212297261 154674098758 232011148137 262424594522 393636891783 464022296274 696033444411 787273783566 1180910675349 1392066888822 2361821350698 11677894456229 23355788912458 35033683368687 70067366737374 105101050106061 210202100212122