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1310033112 = 233971813109
BaseRepresentation
bin100111000010101…
…1000010011011000
310101022001120120220
41032011120103120
510140332024422
6333554320040
744315045343
oct11605302330
93338046526
101310033112
116125302a3
12306889020
1317b53b92b
14c5db345a
157a022e5c
hex4e1584d8

1310033112 has 64 divisors (see below), whose sum is σ = 3328197600. Its totient is φ = 429649920.

The previous prime is 1310033089. The next prime is 1310033113. The reversal of 1310033112 is 2113300131.

It is a junction number, because it is equal to n+sod(n) for n = 1310033091 and 1310033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310033113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419814 + ... + 422922.

Almost surely, 21310033112 is an apocalyptic number.

1310033112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310033112 is an abundant number, since it is smaller than the sum of its proper divisors (2018164488).

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

1310033112 is a wasteful number, since it uses less digits than its factorization.

1310033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1310033112 is about 36194.3795636836. The cubic root of 1310033112 is about 1094.1934002748.

Adding to 1310033112 its reverse (2113300131), we get a palindrome (3423333243).

The spelling of 1310033112 in words is "one billion, three hundred ten million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 97 181 194 291 362 388 543 582 724 776 1086 1164 1448 2172 2328 3109 4344 6218 9327 12436 17557 18654 24872 35114 37308 52671 70228 74616 105342 140456 210684 301573 421368 562729 603146 904719 1125458 1206292 1688187 1809438 2250916 2412584 3376374 3618876 4501832 6752748 7237752 13505496 54584713 109169426 163754139 218338852 327508278 436677704 655016556 1310033112