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122202130313133 = 321323791641135027
BaseRepresentation
bin11011110010010001100110…
…100100010110111110101101
3121000200102001120110200122100
4123302101212210112332231
5112004124430330010013
61111522514512005313
734511545465044543
oct3362214644267655
9530612046420570
10122202130313133
1135a346a5838a62
1211857712230839
1353257c4452710
1422268868dbd93
15e1db57b0b473
hex6f2466916fad

122202130313133 has 96 divisors (see below), whose sum is σ = 200885905059840. Its totient is φ = 71014805896320.

The previous prime is 122202130313129. The next prime is 122202130313143. The reversal of 122202130313133 is 331313031202221.

122202130313133 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 0 + 213 + 0 + 313 + 133 = 666.

It is not a de Polignac number, because 122202130313133 - 22 = 122202130313129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122202130313097 and 122202130313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202130313143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3488780566 + ... + 3488815592.

It is an arithmetic number, because the mean of its divisors is an integer number (2092561511040).

Almost surely, 2122202130313133 is an apocalyptic number.

122202130313133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122202130313133 is a deficient number, since it is larger than the sum of its proper divisors (78683774746707).

122202130313133 is a wasteful number, since it uses less digits than its factorization.

122202130313133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51559 (or 51556 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122202130313133 its reverse (331313031202221), we get a palindrome (453515161515354).

The spelling of 122202130313133 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred thirty million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 13 23 39 69 79 117 207 237 299 711 897 1027 1817 2691 3081 5451 9243 16353 16411 23621 35027 49233 70863 105081 147699 212589 213343 315243 377453 455351 640029 805621 1132359 1296469 1366053 1920087 2416863 2767133 3397077 3889407 4098159 4906889 7250589 8301399 10473073 11668221 14720667 16854097 24904197 29818787 31419219 35972729 44162001 50562291 63644059 89456361 94257657 107918187 151686873 190932177 268369083 323754561 387644231 572796531 574828097 827372767 1162932693 1724484291 2482118301 3488798079 5173452873 7446354903 7472765261 13221046231 22418295783 39663138693 45411419663 67254887349 118989416079 136234258989 171873601003 408702776967 515620803009 590348455619 1044462652249 1546862409027 1771045366857 3133387956747 5313136100571 9400163870241 13578014479237 40734043437711 122202130313133