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23034170106 = 23237611394079
BaseRepresentation
bin10101011100111100…
…011000101011111010
32012110021212002011100
4111130330120223322
5334133221420411
614325354112230
71443544133613
oct253474305372
965407762140
1023034170106
119850208a22
12456a11b676
13223119426c
141187264c0a
158ec30e456
hex55cf18afa

23034170106 has 96 divisors (see below), whose sum is σ = 52484140800. Its totient is φ = 7293421440.

The previous prime is 23034170051. The next prime is 23034170119. The reversal of 23034170106 is 60107143032.

23034170106 is a `hidden beast` number, since 230 + 3 + 417 + 0 + 10 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23034170106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5644975 + ... + 5649053.

It is an arithmetic number, because the mean of its divisors is an integer number (546709800).

Almost surely, 223034170106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23034170106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26242070400).

23034170106 is an abundant number, since it is smaller than the sum of its proper divisors (29449970694).

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

23034170106 is a wasteful number, since it uses less digits than its factorization.

23034170106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 23034170106 in words is "twenty-three billion, thirty-four million, one hundred seventy thousand, one hundred six".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 139 183 222 278 333 366 417 549 666 834 1098 1251 2257 2502 4079 4514 5143 6771 8158 8479 10286 12237 13542 15429 16958 20313 24474 25437 30858 36711 40626 46287 50874 73422 76311 92574 150923 152622 248819 301846 313723 452769 497638 566981 627446 746457 905538 941169 1133962 1358307 1492914 1700943 1882338 2239371 2716614 2823507 3401886 4478742 5102829 5647014 9206303 10205658 18412606 20978297 27618909 34585841 41956594 55237818 62934891 69171682 82856727 103757523 125869782 165713454 188804673 207515046 311272569 377609346 622545138 1279676117 2559352234 3839028351 7678056702 11517085053 23034170106