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3123142104 = 2334710326881
BaseRepresentation
bin1011101000100111…
…0101110111011000
322001122202001112210
42322021311313120
522344011021404
61233523435120
7140252161365
oct27211656730
98048661483
103123142104
111362a28985
12731b25aa0
133aa06b6a4
14218add46c
151342ba689
hexba275dd8

3123142104 has 64 divisors (see below), whose sum is σ = 8051696640. Its totient is φ = 1008967680.

The previous prime is 3123142091. The next prime is 3123142109. The reversal of 3123142104 is 4012413213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123142109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102744 + ... + 129624.

It is an arithmetic number, because the mean of its divisors is an integer number (125807760).

Almost surely, 23123142104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025848320).

3123142104 is an abundant number, since it is smaller than the sum of its proper divisors (4928554536).

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

3123142104 is a wasteful number, since it uses less digits than its factorization.

3123142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27040 (or 27036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3123142104 is about 55885.0794398648. The cubic root of 3123142104 is about 1461.7190772233.

Adding to 3123142104 its reverse (4012413213), we get a palindrome (7135555317).

The spelling of 3123142104 in words is "three billion, one hundred twenty-three million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 103 141 188 206 282 309 376 412 564 618 824 1128 1236 2472 4841 9682 14523 19364 26881 29046 38728 53762 58092 80643 107524 116184 161286 215048 322572 645144 1263407 2526814 2768743 3790221 5053628 5537486 7580442 8306229 10107256 11074972 15160884 16612458 22149944 30321768 33224916 66449832 130130921 260261842 390392763 520523684 780785526 1041047368 1561571052 3123142104