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10514131104 = 2531132773499
BaseRepresentation
bin10011100101011000…
…01110100010100000
31000010202012012102010
421302230032202200
5133013104143404
64455150152520
7521356432311
oct116254164240
930122165363
1010514131104
114505a53354
1220551b2740
13cb737c569
1471a556608
154180b8189
hex272b0e8a0

10514131104 has 96 divisors (see below), whose sum is σ = 27952344000. Its totient is φ = 3460165632.

The previous prime is 10514131091. The next prime is 10514131141. The reversal of 10514131104 is 40113141501.

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

It is a super-2 number, since 2×105141311042 (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 15 ways as a sum of consecutive naturals, for example, 3003147 + ... + 3006645.

It is an arithmetic number, because the mean of its divisors is an integer number (291170250).

Almost surely, 210514131104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10514131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976172000).

10514131104 is an abundant number, since it is smaller than the sum of its proper divisors (17438212896).

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

10514131104 is a wasteful number, since it uses less digits than its factorization.

10514131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 10514131104 its reverse (40113141501), we get a palindrome (50627272605).

The spelling of 10514131104 in words is "ten billion, five hundred fourteen million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 277 339 452 554 678 831 904 1108 1356 1662 1808 2216 2712 3324 3499 3616 4432 5424 6648 6998 8864 10497 10848 13296 13996 20994 26592 27992 31301 41988 55984 62602 83976 93903 111968 125204 167952 187806 250408 335904 375612 395387 500816 751224 790774 969223 1001632 1186161 1502448 1581548 1938446 2372322 2907669 3004896 3163096 3876892 4744644 5815338 6326192 7753784 9489288 11630676 12652384 15507568 18978576 23261352 31015136 37957152 46522704 93045408 109522199 219044398 328566597 438088796 657133194 876177592 1314266388 1752355184 2628532776 3504710368 5257065552 10514131104