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122230331132 = 2271310312792549
BaseRepresentation
bin111000111010101111…
…1101101011011111100
3102200111102221011122012
41301311133231123330
54000311431044012
6132052444110352
711554660446350
oct1616537553374
9380442834565
10122230331132
1147923920998
121b8328353b8
13b6ac2a8630
145cb763b460
1532a5bb4622
hex1c757ed6fc

122230331132 has 96 divisors (see below), whose sum is σ = 266133504000. Its totient is φ = 47829180672.

The previous prime is 122230331071. The next prime is 122230331183. The reversal of 122230331132 is 231133032221.

It is a junction number, because it is equal to n+sod(n) for n = 122230331098 and 122230331107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47950994 + ... + 47953542.

It is an arithmetic number, because the mean of its divisors is an integer number (2772224000).

Almost surely, 2122230331132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122230331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133066752000).

122230331132 is an abundant number, since it is smaller than the sum of its proper divisors (143903172868).

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

122230331132 is a wasteful number, since it uses less digits than its factorization.

122230331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122230331132 its reverse (231133032221), we get a palindrome (353363363353).

The spelling of 122230331132 in words is "one hundred twenty-two billion, two hundred thirty million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 182 206 364 412 721 1279 1339 1442 2549 2558 2678 2884 5098 5116 5356 8953 9373 10196 16627 17843 17906 18746 33137 33254 35686 35812 37492 66274 66508 71372 116389 131737 132548 231959 232778 262547 263474 463918 465556 525094 526948 922159 927836 1050188 1712581 1837829 1844318 3260171 3413111 3425162 3675658 3688636 6520342 6826222 6850324 7351316 11988067 13040684 13652444 22821197 23891777 23976134 42382223 45642394 47783554 47952268 84764446 91284788 95567108 169528892 296675561 335797613 593351122 671595226 1186702244 1343190452 2350583291 4365368969 4701166582 8730737938 9402333164 17461475876 30557582783 61115165566 122230331132