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10132010334 = 2331016592819
BaseRepresentation
bin10010110111110101…
…00011010101011110
3222011010011110021000
421123322203111132
5131222243312314
64353220051130
7506036444505
oct113372432536
928133143230
1010132010334
11432a28a366
121b69233aa6
13c5615acb4
146c18c783c
153e4787209
hex25bea355e

10132010334 has 64 divisors (see below), whose sum is σ = 22781088000. Its totient is φ = 3337639200.

The previous prime is 10132010327. The next prime is 10132010363. The reversal of 10132010334 is 43301023101.

10132010334 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 10 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 3592777 + ... + 3595595.

It is an arithmetic number, because the mean of its divisors is an integer number (355954500).

Almost surely, 210132010334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132010334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390544000).

10132010334 is an abundant number, since it is smaller than the sum of its proper divisors (12649077666).

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

10132010334 is a wasteful number, since it uses less digits than its factorization.

10132010334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132010334 its reverse (43301023101), we get a palindrome (53433033435).

The spelling of 10132010334 in words is "ten billion, one hundred thirty-two million, ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 659 909 1318 1818 1977 2727 2819 3954 5454 5638 5931 8457 11862 16914 17793 25371 35586 50742 66559 76113 133118 152226 199677 284719 399354 569438 599031 854157 1198062 1708314 1797093 1857721 2562471 3594186 3715442 5124942 5573163 7687413 11146326 15374826 16719489 33438978 50158467 100316934 187629821 375259642 562889463 1125778926 1688668389 3377336778 5066005167 10132010334