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10213313130 = 2325374371327
BaseRepresentation
bin10011000001100001…
…01100101001101010
3222100210011001201200
421200300230221222
5131404102010010
64405242425030
7511044505056
oct114060545152
928323131650
1010213313130
114371170359
121b90502176
13c69c56367
146cc60cc66
153eb996cc0
hex260c2ca6a

10213313130 has 96 divisors (see below), whose sum is σ = 27906937344. Its totient is φ = 2588277888.

The previous prime is 10213313111. The next prime is 10213313137. The reversal of 10213313130 is 3131331201.

It is a happy number.

10213313130 is a `hidden beast` number, since 1 + 0 + 21 + 331 + 313 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10213313137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107527 + ... + 178853.

It is an arithmetic number, because the mean of its divisors is an integer number (290697264).

Almost surely, 210213313130 is an apocalyptic number.

10213313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953468672).

10213313130 is an abundant number, since it is smaller than the sum of its proper divisors (17693624214).

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

10213313130 is a wasteful number, since it uses less digits than its factorization.

10213313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71420 (or 71417 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10213313130 its reverse (3131331201), we get a palindrome (13344644331).

The spelling of 10213313130 in words is "ten billion, two hundred thirteen million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 43 45 74 86 90 111 129 185 215 222 258 333 370 387 430 555 645 666 774 1110 1290 1591 1665 1935 3182 3330 3870 4773 7955 9546 14319 15910 23865 28638 47730 71327 71595 142654 143190 213981 356635 427962 641943 713270 1069905 1283886 2139810 2639099 3067061 3209715 5278198 6134122 6419430 7917297 9201183 13195495 15335305 15834594 18402366 23751891 26390990 27603549 30670610 39586485 46005915 47503782 55207098 79172970 92011830 113481257 118759455 138017745 226962514 237518910 276035490 340443771 567406285 680887542 1021331313 1134812570 1702218855 2042662626 3404437710 5106656565 10213313130