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1013122102122 = 2321327111234177
BaseRepresentation
bin11101011111000101100…
…10000111001101101010
310120212001012222021120100
432233202302013031222
5113044333224231442
62053231042410230
7133124052531354
oct16574262071552
93525035867510
101013122102122
11360732018499
12144424660976
13746c9a4c200
143706d0b80d4
151b54878684c
hexebe2c8736a

1013122102122 has 144 divisors (see below), whose sum is σ = 2413142342208. Its totient is φ = 306992125440.

The previous prime is 1013122102099. The next prime is 1013122102159. The reversal of 1013122102122 is 2212012213101.

1013122102122 is a `hidden beast` number, since 101 + 312 + 210 + 21 + 22 = 666.

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 = 1013122102095 and 1013122102104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 242545698 + ... + 242549874.

It is an arithmetic number, because the mean of its divisors is an integer number (16757932932).

Almost surely, 21013122102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013122102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206571171104).

1013122102122 is an abundant number, since it is smaller than the sum of its proper divisors (1400020240086).

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

1013122102122 is a wasteful number, since it uses less digits than its factorization.

1013122102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1013122102122 its reverse (2212012213101), we get a palindrome (3225134315223).

The spelling of 1013122102122 in words is "one trillion, thirteen billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 169 213 234 338 426 507 639 923 1014 1123 1278 1521 1846 2246 2769 3042 3369 4177 5538 6738 8307 8354 10107 11999 12531 14599 16614 20214 23998 25062 29198 35997 37593 43797 54301 71994 75186 79733 87594 107991 108602 131391 159466 162903 189787 215982 239199 262782 296567 325806 379574 478398 488709 569361 593134 705913 717597 889701 977418 1036529 1138722 1411826 1435194 1708083 1779402 2073058 2117739 2669103 3109587 3416166 3855371 4235478 4690771 5338206 6219174 6353217 7710742 9328761 9381542 11566113 12706434 13474877 14072313 18657522 23132226 26949754 28144626 34698339 40424631 42216939 50119823 60980023 69396678 80849262 84433878 100239646 121273893 121960046 150359469 182940069 242547786 300718938 333044741 365880138 451078407 548820207 666089482 792740299 902156814 999134223 1097640414 1585480598 1998268446 2378220897 2997402669 4329581633 4756441794 5994805338 7134662691 8659163266 12988744899 14269325382 25977489798 38966234697 56284561229 77932469394 112569122458 168853683687 337707367374 506561051061 1013122102122