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13212212430402 = 23383223108712161
BaseRepresentation
bin1100000001000011010100…
…1110101000011001000010
31201210002000210121221212000
43000100311032220121002
53212432102340233102
644033335005244430
72532356640450636
oct300206516503102
951702023557760
1013212212430402
1142342a4525687
121594747263716
1374aba215926b
14339690020dc6
1517da2ed3e01c
hexc04353a8642

13212212430402 has 128 divisors (see below), whose sum is σ = 29877375467520. Its totient is φ = 4327157790720.

The previous prime is 13212212430383. The next prime is 13212212430409. The reversal of 13212212430402 is 20403421221231.

13212212430402 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 212 + 43 + 0 + 402 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13212212430409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1086435202 + ... + 1086447362.

It is an arithmetic number, because the mean of its divisors is an integer number (233416995840).

Almost surely, 213212212430402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212212430402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938687733760).

13212212430402 is an abundant number, since it is smaller than the sum of its proper divisors (16665163037118).

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

13212212430402 is a wasteful number, since it uses less digits than its factorization.

13212212430402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13565 (or 13559 counting only the distinct ones).

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

Adding to 13212212430402 its reverse (20403421221231), we get a palindrome (33615633651633).

The spelling of 13212212430402 in words is "thirteen trillion, two hundred twelve billion, two hundred twelve million, four hundred thirty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 83 166 223 249 446 498 669 747 1087 1338 1494 2007 2174 2241 3261 4014 4482 6021 6522 9783 12042 12161 18509 19566 24322 29349 36483 37018 55527 58698 72966 90221 109449 111054 166581 180442 218898 242401 270663 328347 333162 484802 499743 541326 656694 727203 811989 999486 1009363 1454406 1623978 2018726 2181609 2435967 2711903 3028089 4363218 4871934 5423806 6056178 6544827 8135709 9084267 13089654 13219007 16271418 18168534 20119283 24407127 26438014 27252801 39657021 40238566 48814254 54505602 60357849 73221381 79314042 118971063 120715698 146442762 181073547 225087949 237942126 356913189 362147094 450175898 543220641 675263847 713826378 1086441282 1097177581 1350527694 2025791541 2194355162 2947838561 3291532743 4051583082 5895677122 6077374623 6583065486 8843515683 9874598229 12154749246 17687031366 19749196458 26530547049 29623794687 53061094098 59247589374 79591641147 159183282294 244670600563 489341201126 734011801689 1468023603378 2202035405067 4404070810134 6606106215201 13212212430402