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1313113032 = 233471126317
BaseRepresentation
bin100111001000100…
…1000001111001000
310101111212001110000
41032101020033020
510142124104112
6334144323000
744353163610
oct11621101710
93344761400
101313113032
11614244290
12307913460
1317c07977a
14c6575a40
157a4307dc
hex4e4483c8

1313113032 has 160 divisors (see below), whose sum is σ = 4585648320. Its totient is φ = 341055360.

The previous prime is 1313112991. The next prime is 1313113073. The reversal of 1313113032 is 2303113131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1313112991) and next prime (1313113073).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1313112996 and 1313113014.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36738 + ... + 63054.

It is an arithmetic number, because the mean of its divisors is an integer number (28660302).

Almost surely, 21313113032 is an apocalyptic number.

1313113032 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 1313113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292824160).

1313113032 is an abundant number, since it is smaller than the sum of its proper divisors (3272535288).

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

1313113032 is a wasteful number, since it uses less digits than its factorization.

1313113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26353 (or 26340 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313113032 is about 36236.9015231711. The cubic root of 1313113032 is about 1095.0502210031.

Adding to 1313113032 its reverse (2303113131), we get a palindrome (3616226163).

Subtracting 1313113032 from its reverse (2303113131), we obtain a palindrome (990000099).

The spelling of 1313113032 in words is "one billion, three hundred thirteen million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 5544 6237 7128 8316 12474 16632 24948 26317 49896 52634 78951 105268 157902 184219 210536 236853 289487 315804 368438 473706 552657 578974 631608 710559 736876 868461 947412 1105314 1157948 1421118 1473752 1657971 1736922 1894824 2026409 2131677 2210628 2315896 2605383 2842236 3315942 3473844 4052818 4263354 4421256 4973913 5210766 5684472 6079227 6631884 6947688 7816149 8105636 8526708 9947826 10421532 12158454 13263768 14921739 15632298 16211272 17053416 18237681 19895652 20843064 23448447 24316908 29843478 31264596 36475362 39791304 46896894 48633816 54713043 59686956 62529192 72950724 93793788 109426086 119373912 145901448 164139129 187587576 218852172 328278258 437704344 656556516 1313113032