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2122302012210 = 234510125941841
BaseRepresentation
bin11110111000100011000…
…011101011101100110010
321111220000212122210120000
4132320203003223230302
5234232433303342320
64302545545330430
7306221423312232
oct36704303535462
97456025583500
102122302012210
11749077180836
122a3396796a16
13125194649733
1474a11829cc2
153a315100c90
hex1ee230ebb32

2122302012210 has 80 divisors (see below), whose sum is σ = 5763135851352. Its totient is φ = 560343744000.

The previous prime is 2122302012113. The next prime is 2122302012241. The reversal of 2122302012210 is 122102032212.

2122302012210 is a `hidden beast` number, since 2 + 12 + 230 + 201 + 221 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1580192301249 + 542109710961 = 1257057^2 + 736281^2 .

It is a super-2 number, since 2×21223020122102 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12889111 + ... + 13052730.

Almost surely, 22122302012210 is an apocalyptic number.

2122302012210 is an abundant number, since it is smaller than the sum of its proper divisors (3640833839142).

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

2122302012210 is a wasteful number, since it uses less digits than its factorization.

2122302012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25941961 (or 25941952 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2122302012210 its reverse (122102032212), we get a palindrome (2244404044422).

The spelling of 2122302012210 in words is "two trillion, one hundred twenty-two billion, three hundred two million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 405 505 606 810 909 1010 1515 1818 2727 3030 4545 5454 8181 9090 13635 16362 27270 40905 81810 25941841 51883682 77825523 129709205 155651046 233476569 259418410 389127615 466953138 700429707 778255230 1167382845 1400859414 2101289121 2334765690 2620125941 3502148535 4202578242 5240251882 7004297070 7860377823 10506445605 13100629705 15720755646 21012891210 23581133469 26201259410 39301889115 47162266938 70743400407 78603778230 117905667345 141486800814 212230201221 235811334690 353717002035 424460402442 707434004070 1061151006105 2122302012210