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122140134324 = 223213614278413
BaseRepresentation
bin111000111000000011…
…1101000101110110100
3102200021011012200212200
41301300013220232310
54000120333244244
6132035502544500
711552514004035
oct1616007505664
9380234180780
10122140134324
1147887a1577a
121b808598130
13b6966b7c40
145ca967ca8c
15329cce9669
hex1c701e8bb4

122140134324 has 72 divisors (see below), whose sum is σ = 337943365032. Its totient is φ = 36965479680.

The previous prime is 122140134257. The next prime is 122140134397. The reversal of 122140134324 is 423431041221.

122140134324 is a `hidden beast` number, since 1 + 2 + 214 + 0 + 13 + 432 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5266404900 + 116873729424 = 72570^2 + 341868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2110659 + ... + 2167754.

Almost surely, 2122140134324 is an apocalyptic number.

It is an amenable number.

122140134324 is an abundant number, since it is smaller than the sum of its proper divisors (215803230708).

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

122140134324 is a wasteful number, since it uses less digits than its factorization.

122140134324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278497 (or 4278492 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122140134324 its reverse (423431041221), we get a palindrome (545571175545).

The spelling of 122140134324 in words is "one hundred twenty-two billion, one hundred forty million, one hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 7137 9516 14274 28548 4278413 8556826 12835239 17113652 25670478 38505717 51340956 55619369 77011434 111238738 154022868 166858107 222477476 260983193 333716214 500574321 521966386 667432428 782949579 1001148642 1043932772 1565899158 2002297284 2348848737 3131798316 3392781509 4697697474 6785563018 9395394948 10178344527 13571126036 20356689054 30535033581 40713378108 61070067162 122140134324