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1021123111122 = 234191077094373
BaseRepresentation
bin11101101101111111010…
…11100010100011010010
310121121200211021122120000
432312333223202203102
5113212230004023442
62101033020030430
7133526245143252
oct16667753424322
93547624248500
101021123111122
11364068414a24
12145a98092416
13753a355666a
14375cb965962
151b865dd0d4c
hexedbfae28d2

1021123111122 has 160 divisors (see below), whose sum is σ = 2434991803200. Its totient is φ = 318922780032.

The previous prime is 1021123111081. The next prime is 1021123111147. The reversal of 1021123111122 is 2211113211201.

It is a happy number.

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 = 1021123111095 and 1021123111104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 233504128 + ... + 233508500.

It is an arithmetic number, because the mean of its divisors is an integer number (15218698770).

Almost surely, 21021123111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021123111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217495901600).

1021123111122 is an abundant number, since it is smaller than the sum of its proper divisors (1413868692078).

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

1021123111122 is a wasteful number, since it uses less digits than its factorization.

1021123111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1021123111122 its reverse (2211113211201), we get a palindrome (3232236322323).

The spelling of 1021123111122 in words is "one trillion, twenty-one billion, one hundred twenty-three million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 107 114 162 171 214 321 342 513 642 709 963 1026 1418 1539 1926 2033 2127 2889 3078 4066 4254 4373 5778 6099 6381 8667 8746 12198 12762 13119 13471 17334 18297 19143 26238 26942 36594 38286 39357 40413 54891 57429 75863 78714 80826 83087 109782 114858 118071 121239 151726 164673 166174 227589 236142 242478 249261 329346 354213 363717 455178 467911 498522 682767 708426 727434 747783 935822 1091151 1365534 1403733 1441397 1495566 2048301 2182302 2243349 2807466 2882794 3100457 4096602 4211199 4324191 4486698 6144903 6200914 6730047 8422398 8648382 8890309 9301371 12289806 12633597 12972573 13460094 17780618 18602742 25267194 25945146 26670927 27904113 37900791 38917719 53341854 55808226 58908683 75801582 77835438 80012781 83712339 116753157 117817366 160025562 167424678 176726049 233506314 240038343 251137017 331748899 353452098 480076686 502274034 530178147 663497798 720115029 995246697 1060356294 1440230058 1590534441 1990493394 2985740091 3181068882 4771603323 5971480182 6303229081 8957220273 9543206646 12606458162 17914440546 18909687243 26871660819 37819374486 53743321638 56729061729 113458123458 170187185187 340374370374 510561555561 1021123111122