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101320133113122 = 23711311970313449
BaseRepresentation
bin10111000010011001101110…
…100010101111010100100010
3111021202002222021200002122020
4113002121232202233110202
5101240012113034104442
6555253454312522310
730225065231355510
oct2702315642572442
9437662867602566
10101320133113122
112a313699806230
12b44462b6b0396
13446c5a8383771
141b03cc62134b0
15baa880ea69ec
hex5c266e8af522

101320133113122 has 64 divisors (see below), whose sum is σ = 252723414528000. Its totient is φ = 26308479703680.

The previous prime is 101320133113109. The next prime is 101320133113169. The reversal of 101320133113122 is 221311331023101.

It is a super-2 number, since 2×1013201331131222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101320133113092 and 101320133113101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33715747 + ... + 36597702.

It is an arithmetic number, because the mean of its divisors is an integer number (3948803352000).

Almost surely, 2101320133113122 is an apocalyptic number.

101320133113122 is an abundant number, since it is smaller than the sum of its proper divisors (151403281414878).

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

101320133113122 is a wasteful number, since it uses less digits than its factorization.

101320133113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70316591.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101320133113122 its reverse (221311331023101), we get a palindrome (322631464136223).

The spelling of 101320133113122 in words is "one hundred one trillion, three hundred twenty billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 3119 6238 9357 18714 21833 34309 43666 65499 68618 102927 130998 205854 240163 480326 720489 1440978 70313449 140626898 210940347 421880694 492194143 773447939 984388286 1476582429 1546895878 2320343817 2953164858 4640687634 5414135573 10828271146 16242406719 32484813438 219307647431 438615294862 657922942293 1315845884586 1535153532017 2412384121741 3070307064034 4605460596051 4824768243482 7237152365223 9210921192102 14474304730446 16886688852187 33773377704374 50660066556561 101320133113122