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101102211220023 = 321313136383181303
BaseRepresentation
bin10110111111001110110001…
…011000101100001000110111
3111020222021110221011220122100
4112333032301120230020313
5101222424312033020043
6555005414210233143
730203252021006346
oct2677166130541067
9436867427156570
10101102211220023
112a23a230560532
12b40a351b857b3
134454b89080820
141ad7531c37b5d
15ba4d79456cd3
hex5bf3b162c237

101102211220023 has 48 divisors (see below), whose sum is σ = 158475871217664. Its totient is φ = 61739770847040.

The previous prime is 101102211219991. The next prime is 101102211220027. The reversal of 101102211220023 is 320022112201101.

It is not a de Polignac number, because 101102211220023 - 25 = 101102211219991 is a prime.

It is a super-2 number, since 2×1011022112200232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102211219978 and 101102211220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102211220027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557551590 + ... + 557732892.

It is an arithmetic number, because the mean of its divisors is an integer number (3301580650368).

Almost surely, 2101102211220023 is an apocalyptic number.

101102211220023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101102211220023 is a deficient number, since it is larger than the sum of its proper divisors (57373659997641).

101102211220023 is a wasteful number, since it uses less digits than its factorization.

101102211220023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217836 (or 217833 counting only the distinct ones).

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

Adding to 101102211220023 its reverse (320022112201101), we get a palindrome (421124323421124).

The spelling of 101102211220023 in words is "one hundred one trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, twenty-three".

Divisors: 1 3 9 13 39 117 131 393 1179 1703 5109 15327 36383 109149 181303 327447 472979 543909 1418937 1631727 2356939 4256811 4766173 7070817 14298519 21212451 23750693 42895557 61960249 71252079 185880747 213756237 308759009 557642241 926277027 2778831081 6596347049 19789041147 59367123441 85752511637 257257534911 771772604733 864121463419 2592364390257 7777093170771 11233579024447 33700737073341 101102211220023