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1111323010122 = 234136120814157
BaseRepresentation
bin10000001011000000000…
…000110110010001001010
310221020112000022021120000
4100023000000312101022
5121201442142310442
62210311300543430
7143201422503603
oct20130000662112
93836460267500
101111323010122
1139934495a0a6
1215b46b9b1b76
1380a498c8c70
143bb0721adaa
151dd94a96d4c
hex102c003644a

1111323010122 has 160 divisors (see below), whose sum is σ = 2727668324304. Its totient is φ = 336097382400.

The previous prime is 1111323010097. The next prime is 1111323010123. The reversal of 1111323010122 is 2210103231111.

1111323010122 is a `hidden beast` number, since 111 + 132 + 301 + 0 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 45846946161 + 1065476063961 = 214119^2 + 1032219^2 .

It is a super-3 number, since 3×11113230101223 (a number of 37 digits) contains 333 as substring.

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 = 1111323010095 and 1111323010104.

It is not an unprimeable number, because it can be changed into a prime (1111323010123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 267335668 + ... + 267339824.

Almost surely, 21111323010122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111323010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363834162152).

1111323010122 is an abundant number, since it is smaller than the sum of its proper divisors (1616345314182).

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

1111323010122 is a wasteful number, since it uses less digits than its factorization.

1111323010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1111323010122 its reverse (2210103231111), we get a palindrome (3321426241233).

The spelling of 1111323010122 in words is "one trillion, one hundred eleven billion, three hundred twenty-three million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 81 117 122 162 183 234 351 366 549 702 793 1053 1098 1586 1647 2081 2106 2379 3294 4157 4162 4758 4941 6243 7137 8314 9882 12471 12486 14274 18729 21411 24942 27053 37413 37458 42822 54041 54106 56187 64233 74826 81159 108082 112239 112374 126941 128466 162123 162318 168561 224478 243477 253577 253882 324246 336717 337122 380823 486369 486954 507154 673434 730431 760731 761646 972738 1142469 1459107 1460862 1521462 1650233 2191293 2282193 2284938 2918214 3296501 3300466 3427407 4377321 4382586 4564386 4950699 6593002 6846579 6854814 8650717 8754642 9889503 9901398 10282221 13693158 14852097 17301434 19779006 20539737 20564442 25952151 29668509 29704194 41079474 44556291 51904302 59337018 77856453 89005527 89112582 112459321 133668873 155712906 178011054 224918642 233569359 267016581 267337746 337377963 467138718 527693737 534033162 674755926 700708077 1012133889 1055387474 1401416154 1583081211 2024267778 3036401667 3166162422 4749243633 6072803334 6860018581 9109205001 9498487266 13720037162 14247730899 18218410002 20580055743 28495461798 41160111486 42743192697 61740167229 85486385394 123480334458 185220501687 370441003374 555661505061 1111323010122