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1313231010 = 2357133713001
BaseRepresentation
bin100111001000110…
…0101000010100010
310101112002001021120
41032101211002202
510142141343020
6334151033110
744354164560
oct11621450242
93345061246
101313231010
11614314993
1230796b796
1317c0bb390
14c65a6a30
157a455740
hex4e4650a2

1313231010 has 128 divisors (see below), whose sum is σ = 3984228864. Its totient is φ = 269568000.

The previous prime is 1313230993. The next prime is 1313231033. The reversal of 1313231010 is 101323131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94510 + ... + 107510.

It is an arithmetic number, because the mean of its divisors is an integer number (31126788).

Almost surely, 21313231010 is an apocalyptic number.

1313231010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313231010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992114432).

1313231010 is an abundant number, since it is smaller than the sum of its proper divisors (2670997854).

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

1313231010 is a wasteful number, since it uses less digits than its factorization.

1313231010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13068.

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

The square root of 1313231010 is about 36238.5293575774. The cubic root of 1313231010 is about 1095.0830153279.

Adding to 1313231010 its reverse (101323131), we get a palindrome (1414554141).

The spelling of 1313231010 in words is "one billion, three hundred thirteen million, two hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3367 3885 4810 6734 7215 7770 10101 13001 14430 16835 20202 26002 33670 39003 50505 65005 78006 91007 101010 130010 169013 182014 195015 273021 338026 390030 455035 481037 507039 546042 845065 910070 962074 1014078 1183091 1365105 1443111 1690130 2366182 2405185 2535195 2730210 2886222 3367259 3549273 4810370 5070390 5915455 6253481 6734518 7098546 7215555 10101777 11830910 12506962 14431110 16836295 17746365 18760443 20203554 31267405 33672590 35492730 37520886 43774367 50508885 62534810 87548734 93802215 101017770 131323101 187604430 218871835 262646202 437743670 656615505 1313231010