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10522530105312 = 2531742337152293
BaseRepresentation
bin1001100100011111011110…
…1010110100011111100000
31101020221111012210220022210
42121013313222310133200
52334400120201332222
634213552242402120
72134141051064121
oct231076752643740
941227435726283
1010522530105312
113397641a17065
12121b406060340
135b4368bc1254
14285416684048
15133aad9b7d0c
hex991f7ab47e0

10522530105312 has 96 divisors (see below), whose sum is σ = 29247326815392. Its totient is φ = 3301086265344.

The previous prime is 10522530105253. The next prime is 10522530105337. The reversal of 10522530105312 is 21350103522501.

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

It is a super-2 number, since 2×105225301053122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10522530105312.

It is a congruent number.

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, 69017838 + ... + 69170130.

It is an arithmetic number, because the mean of its divisors is an integer number (304659654327).

Almost surely, 210522530105312 is an apocalyptic number.

10522530105312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10522530105312 is an abundant number, since it is smaller than the sum of its proper divisors (18724796710080).

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

10522530105312 is a wasteful number, since it uses less digits than its factorization.

10522530105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194660 (or 194652 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 10522530105312 its reverse (21350103522501), we get a palindrome (31872633627813).

The spelling of 10522530105312 in words is "ten trillion, five hundred twenty-two billion, five hundred thirty million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 42337 84674 127011 152293 169348 254022 304586 338696 456879 508044 609172 677392 719729 913758 1016088 1218344 1354784 1439458 1827516 2032176 2159187 2436688 2588981 2878916 3655032 4064352 4318374 4873376 5177962 5757832 7310064 7766943 8636748 10355924 11515664 14620128 15533886 17273496 20711848 23031328 31067772 34546992 41423696 62135544 69093984 82847392 124271088 248542176 6447628741 12895257482 19342886223 25790514964 38685772446 51581029928 77371544892 103162059856 109609688597 154743089784 206324119712 219219377194 309486179568 328829065791 438438754388 618972359136 657658131582 876877508776 1315316263164 1753755017552 2630632526328 3507510035104 5261265052656 10522530105312