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122532601428 = 223217536835531
BaseRepresentation
bin111001000011110000…
…0110001111001010100
3102201021111201002112100
41302013200301321110
54001421321221203
6132142442522100
711565320633016
oct1620740617124
9381244632470
10122532601428
1147a69506056
121b8b7b06330
13b729abc8b3
145d058421b6
1532c24c0ea3
hex1c87831e54

122532601428 has 144 divisors (see below), whose sum is σ = 334692461376. Its totient is φ = 37654256640.

The previous prime is 122532601417. The next prime is 122532601439. The reversal of 122532601428 is 824106235221.

122532601428 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 3 + 2 + 601 + 42 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (122532601417) and next prime (122532601439).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122532601392 and 122532601401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22151023 + ... + 22156553.

It is an arithmetic number, because the mean of its divisors is an integer number (2324253204).

Almost surely, 2122532601428 is an apocalyptic number.

122532601428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122532601428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167346230688).

122532601428 is an abundant number, since it is smaller than the sum of its proper divisors (212159859948).

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

122532601428 is a wasteful number, since it uses less digits than its factorization.

122532601428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 122532601428 its reverse (824106235221), we get a palindrome (946638836649).

The spelling of 122532601428 in words is "one hundred twenty-two billion, five hundred thirty-two million, six hundred one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 683 901 954 1366 1802 1908 2049 2703 2732 3604 4098 5406 5531 6147 8109 8196 10812 11062 11611 12294 16218 16593 22124 23222 24588 32436 33186 34833 36199 46444 49779 66372 69666 72398 94027 99558 104499 108597 139332 144796 188054 199116 208998 217194 282081 293143 325791 376108 417996 434388 564162 586286 615383 651582 846243 879429 1128324 1172572 1230766 1303164 1692486 1758858 1846149 2461532 2638287 3384972 3517716 3692298 3777673 4983431 5276574 5538447 7384596 7555346 9966862 10553148 11076894 11333019 14950293 15110692 19933724 22153788 22666038 29900586 33999057 44850879 45332076 59801172 64220441 67998114 89701758 128440882 135996228 179403516 192661323 200216669 256881764 385322646 400433338 577983969 600650007 770645292 800866676 1155967938 1201300014 1801950021 2311935876 2402600028 3403683373 3603900042 6807366746 7207800084 10211050119 13614733492 20422100238 30633150357 40844200476 61266300714 122532601428