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103201303122 = 23412721123773
BaseRepresentation
bin110000000011101000…
…1101110101001010010
3100212101021110101120000
41200013101232221102
53142324013144442
6115224322030430
710312265413521
oct1400721565122
9325337411500
10103201303122
113a849499565
1218001aa8416
139968b16448
144dd02a84b8
152a402e3d4c
hex180746ea52

103201303122 has 80 divisors (see below), whose sum is σ = 234182648832. Its totient is φ = 33966384480.

The previous prime is 103201303103. The next prime is 103201303141. The reversal of 103201303122 is 221303102301.

103201303122 is a `hidden beast` number, since 1 + 0 + 320 + 1 + 30 + 312 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (103201303103) and next prime (103201303141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103201303095 and 103201303104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4329228 + ... + 4353000.

Almost surely, 2103201303122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103201303122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117091324416).

103201303122 is an abundant number, since it is smaller than the sum of its proper divisors (130981345710).

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

103201303122 is a wasteful number, since it uses less digits than its factorization.

103201303122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24125 (or 24116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103201303122 its reverse (221303102301), we get a palindrome (324504405423).

The spelling of 103201303122 in words is "one hundred three billion, two hundred one million, three hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 211 254 381 422 633 762 1143 1266 1899 2286 3429 3798 5697 6858 10287 11394 17091 20574 23773 26797 34182 47546 53594 71319 80391 142638 160782 213957 241173 427914 482346 641871 723519 1283742 1447038 1925613 2170557 3019171 3851226 4341114 5016103 6038342 9057513 10032206 15048309 18115026 27172539 30096618 45144927 54345078 81517617 90289854 135434781 163035234 244552851 270869562 406304343 489105702 637045081 812608686 1274090162 1911135243 3822270486 5733405729 11466811458 17200217187 34400434374 51600651561 103201303122