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10130212320 = 253539475347
BaseRepresentation
bin10010110111100111…
…01100010111100000
3222010222210002211220
421123303230113200
5131221313243240
64353113335040
7506015245464
oct113363542740
928128702756
1010130212320
1143292714a8
121b68707480
13c5597b797
146c157a4a4
153e452e5d0
hex25bcec5e0

10130212320 has 96 divisors (see below), whose sum is σ = 31924222848. Its totient is φ = 2700200448.

The previous prime is 10130212289. The next prime is 10130212321. The reversal of 10130212320 is 2321203101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×101302123204 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10130212320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130212321) 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, 1891887 + ... + 1897233.

It is an arithmetic number, because the mean of its divisors is an integer number (332543988).

Almost surely, 210130212320 is an apocalyptic number.

10130212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130212320 is an abundant number, since it is smaller than the sum of its proper divisors (21794010528).

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

10130212320 is a wasteful number, since it uses less digits than its factorization.

10130212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312 (or 9304 counting only the distinct ones).

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

Adding to 10130212320 its reverse (2321203101), we get a palindrome (12451415421).

The spelling of 10130212320 in words is "ten billion, one hundred thirty million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3947 5347 7894 10694 11841 15788 16041 19735 21388 23682 26735 31576 32082 39470 42776 47364 53470 59205 63152 64164 78940 80205 85552 94728 106940 118410 126304 128328 157880 160410 171104 189456 213880 236820 256656 315760 320820 378912 427760 473640 513312 631520 641640 855520 947280 1283280 1894560 2566560 21104609 42209218 63313827 84418436 105523045 126627654 168836872 211046090 253255308 316569135 337673744 422092180 506510616 633138270 675347488 844184360 1013021232 1266276540 1688368720 2026042464 2532553080 3376737440 5065106160 10130212320