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10213130004 = 22371154120431
BaseRepresentation
bin10011000001011111…
…11111111100010100
3222100202210202112020
421200233333330110
5131404030130004
64405234453140
7511043113140
oct114057777424
928322722466
1010213130004
114371055810
121b904341b0
13c69bc0bbc
146cc5a2220
153eb95c8d9
hex260bfff14

10213130004 has 96 divisors (see below), whose sum is σ = 29767299072. Its totient is φ = 2647728000.

The previous prime is 10213130003. The next prime is 10213130023. The reversal of 10213130004 is 40003131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213130003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489669 + ... + 510099.

It is an arithmetic number, because the mean of its divisors is an integer number (310076032).

Almost surely, 210213130004 is an apocalyptic number.

10213130004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213130004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883649536).

10213130004 is an abundant number, since it is smaller than the sum of its proper divisors (19554169068).

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

10213130004 is a wasteful number, since it uses less digits than its factorization.

10213130004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20997 (or 20995 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10213130004 its reverse (40003131201), we get a palindrome (50216261205).

The spelling of 10213130004 in words is "ten billion, two hundred thirteen million, one hundred thirty thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 541 924 1082 1623 2164 3246 3787 5951 6492 7574 11361 11902 15148 17853 20431 22722 23804 35706 40862 41657 45444 61293 71412 81724 83314 122586 124971 143017 166628 224741 245172 249942 286034 429051 449482 499884 572068 674223 858102 898964 1348446 1573187 1716204 2696892 3146374 4719561 6292748 9439122 11053171 18878244 22106342 33159513 44212684 66319026 77372197 121584881 132638052 154744394 232116591 243169762 309488788 364754643 464233182 486339524 729509286 851094167 928466364 1459018572 1702188334 2553282501 3404376668 5106565002 10213130004