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10003243442232 = 23343471559132287
BaseRepresentation
bin1001000110010000111111…
…0001011010000000111000
31022102022010020100012010110
42101210033301122000320
52302343120310122412
633135232051144320
72051465461220145
oct221441761320070
938368106305113
1010003243442232
113207396159197
121156841ba50a0
135773c00c7601
14268233bc53cc
15125319a72d3c
hex9190fc5a038

10003243442232 has 128 divisors (see below), whose sum is σ = 26151115161600. Its totient is φ = 3185506144128.

The previous prime is 10003243442201. The next prime is 10003243442251. The reversal of 10003243442232 is 23224434230001.

It is a super-3 number, since 3×100032434422323 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10003243442232.

It is a congruent number.

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, 75551593 + ... + 75683879.

It is an arithmetic number, because the mean of its divisors is an integer number (204305587200).

Almost surely, 210003243442232 is an apocalyptic number.

10003243442232 is a gapful number since it is divisible by the number (12) 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 10003243442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075557580800).

10003243442232 is an abundant number, since it is smaller than the sum of its proper divisors (16147871719368).

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

10003243442232 is a wasteful number, since it uses less digits than its factorization.

10003243442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133945 (or 133941 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10003243442232 its reverse (23224434230001), we get a palindrome (33227677672233).

The spelling of 10003243442232 in words is "ten trillion, three billion, two hundred forty-three million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 47 86 94 129 141 172 188 258 282 344 376 516 564 1032 1128 1559 2021 3118 4042 4677 6063 6236 8084 9354 12126 12472 16168 18708 24252 37416 48504 67037 73273 132287 134074 146546 201111 219819 264574 268148 293092 396861 402222 439638 529148 536296 586184 793722 804444 879276 1058296 1587444 1608888 1758552 3150739 3174888 5688341 6217489 6301478 9452217 11376682 12434978 12602956 17065023 18652467 18904434 22753364 24869956 25205912 34130046 37304934 37808868 45506728 49739912 68260092 74609868 75617736 136520184 149219736 206235433 267352027 412470866 534704054 618706299 802056081 824941732 1069408108 1237412598 1604112162 1649883464 2138816216 2474825196 3208224324 4949650392 6416448648 8868123619 9693065351 17736247238 19386130702 26604370857 29079196053 35472494476 38772261404 53208741714 58158392106 70944988952 77544522808 106417483428 116316784212 212834966856 232633568424 416801810093 833603620186 1250405430279 1667207240372 2500810860558 3334414480744 5001621721116 10003243442232