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102100000023 = 32741317124693
BaseRepresentation
bin101111100010110100…
…0100101110100010111
3100202112112011101201100
41133011220211310113
53133100100000043
6114523141201143
710243063452360
oct1370550456427
9322475141640
10102100000023
113a33387420a
12179551001b3
1398218ca5c8
144d27d0ab67
1529c87a1cd3
hex17c5a25d17

102100000023 has 48 divisors (see below), whose sum is σ = 173202958656. Its totient is φ = 56739847680.

The previous prime is 102100000021. The next prime is 102100000031. The reversal of 102100000023 is 320000001201.

It is a happy number.

It is not a de Polignac number, because 102100000023 - 21 = 102100000021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102099999960 and 102100000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100000021) 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, 756465 + ... + 881157.

It is an arithmetic number, because the mean of its divisors is an integer number (3608394972).

Almost surely, 2102100000023 is an apocalyptic number.

102100000023 is a deficient number, since it is larger than the sum of its proper divisors (71102958633).

102100000023 is a wasteful number, since it uses less digits than its factorization.

102100000023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125064 (or 125061 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102100000023 its reverse (320000001201), we get a palindrome (422100001224).

The spelling of 102100000023 in words is "one hundred two billion, one hundred million, twenty-three", and thus it is an aban number.

Divisors: 1 3 7 9 21 41 63 123 287 317 369 861 951 2219 2583 2853 6657 12997 19971 38991 90979 116973 124693 272937 374079 818811 872851 1122237 2618553 5112413 7855659 15337239 35786891 39527681 46011717 107360673 118583043 276693767 322082019 355749129 830081301 1620634921 2490243903 4861904763 11344444447 14585714289 34033333341 102100000023