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23143025106 = 23317182313829
BaseRepresentation
bin10101100011011011…
…101000100111010010
32012201212200111011000
4111203123220213102
5334344103300411
614344243202430
71446335316255
oct254333504722
965655614130
1023143025106
1198a66a8333
12459a676416
13224a8b83c6
1411978bd09c
15906b62956
hex5636e89d2

23143025106 has 64 divisors (see below), whose sum is σ = 54487987200. Its totient is φ = 7256049408.

The previous prime is 23143025051. The next prime is 23143025119. The reversal of 23143025106 is 60152034132.

23143025106 is a `hidden beast` number, since 2 + 3 + 143 + 0 + 2 + 510 + 6 = 666.

It is a super-2 number, since 2×231430251062 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 23143025106.

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, 1666600 + ... + 1680428.

It is an arithmetic number, because the mean of its divisors is an integer number (851374800).

Almost surely, 223143025106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23143025106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243993600).

23143025106 is an abundant number, since it is smaller than the sum of its proper divisors (31344962094).

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

23143025106 is a wasteful number, since it uses less digits than its factorization.

23143025106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15680 (or 15674 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 23143025106 its reverse (60152034132), we get a palindrome (83295059238).

The spelling of 23143025106 in words is "twenty-three billion, one hundred forty-three million, twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1823 3646 5469 10938 13829 16407 27658 30991 32814 41487 49221 61982 82974 92973 98442 124461 185946 235093 248922 278919 373383 470186 557838 705279 746766 836757 1410558 1673514 2115837 4231674 6347511 12695022 25210267 50420534 75630801 151261602 226892403 428574539 453784806 680677209 857149078 1285723617 1361354418 2571447234 3857170851 7714341702 11571512553 23143025106