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101113112122 = 211611016471153
BaseRepresentation
bin101111000101011001…
…1111010011000111010
3100122222202011022000121
41132022303322120322
53124034424041442
6114241204523454
710206451162231
oct1361263723072
9318882138017
10101113112122
1139977796780
121771a6b058a
1396c5301679
144c72c13b18
15296bd10967
hex178acfa63a

101113112122 has 64 divisors (see below), whose sum is σ = 170245317888. Its totient is φ = 44651520000.

The previous prime is 101113112053. The next prime is 101113112143. The reversal of 101113112122 is 221211311101.

It is a happy number.

It is a super-2 number, since 2×1011131121222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101113112096 and 101113112105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87695098 + ... + 87696250.

It is an arithmetic number, because the mean of its divisors is an integer number (2660083092).

Almost surely, 2101113112122 is an apocalyptic number.

101113112122 is a deficient number, since it is larger than the sum of its proper divisors (69132205766).

101113112122 is a wasteful number, since it uses less digits than its factorization.

101113112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101113112122 its reverse (221211311101), we get a palindrome (322324423223).

The spelling of 101113112122 in words is "one hundred one billion, one hundred thirteen million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 61 101 122 202 647 671 1111 1153 1294 1342 2222 2306 6161 7117 12322 12683 14234 25366 39467 65347 67771 70333 78934 116453 130694 135542 140666 232906 434137 718817 745991 773663 868274 1280983 1437634 1491982 1547326 2561966 3986167 7103633 7972334 8205901 14207266 16411802 43847837 45505451 75345091 78139963 87695674 91010902 150690182 156279926 500559961 828796001 1001119922 1657592002 4596050551 9192101102 50556556061 101113112122