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15213442120 = 23517194092879
BaseRepresentation
bin11100010101100101…
…01011010001001000
31110021020202221020021
432022302223101020
5222124120121440
610553340510224
71046001060442
oct161262532110
943236687207
1015213442120
1164a7656268
122b46b4b374
131585b2b876
14a44705492
155e092684a
hex38acab448

15213442120 has 128 divisors (see below), whose sum is σ = 38257920000. Its totient is φ = 5410824192.

The previous prime is 15213442093. The next prime is 15213442193. The reversal of 15213442120 is 2124431251.

It is a super-2 number, since 2×152134421202 (a number of 21 digits) contains 22 as substring.

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, 5282841 + ... + 5285719.

It is an arithmetic number, because the mean of its divisors is an integer number (298890000).

Almost surely, 215213442120 is an apocalyptic number.

15213442120 is a gapful number since it is divisible by the number (10) 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 15213442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19128960000).

15213442120 is an abundant number, since it is smaller than the sum of its proper divisors (23044477880).

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

15213442120 is a wasteful number, since it uses less digits than its factorization.

15213442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 15213442120 its reverse (2124431251), we get a palindrome (17337873371).

The spelling of 15213442120 in words is "fifteen billion, two hundred thirteen million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 409 646 680 760 818 1292 1615 1636 2045 2584 2879 3230 3272 4090 5758 6460 6953 7771 8180 11516 12920 13906 14395 15542 16360 23032 27812 28790 31084 34765 38855 48943 54701 55624 57580 62168 69530 77710 97886 109402 115160 132107 139060 155420 195772 218804 244715 264214 273505 278120 310840 391544 437608 489430 528428 547010 660535 929917 978860 1056856 1094020 1177511 1321070 1859834 1957720 2188040 2355022 2642140 3719668 4649585 4710044 5284280 5887555 7439336 9299170 9420088 11775110 18598340 20017687 22372709 23550220 37196680 40035374 44745418 47100440 80070748 89490836 100088435 111863545 160141496 178981672 200176870 223727090 380336053 400353740 447454180 760672106 800707480 894908360 1521344212 1901680265 3042688424 3803360530 7606721060 15213442120