Search a number
-
+
1310010312 = 2331311293719
BaseRepresentation
bin100111000010101…
…0010101111001000
310101022000102022110
41032011102233020
510140330312222
6333554022320
744314622022
oct11605225710
93338012273
101310010312
11612515156
123068779a0
1317b531440
14c5da9012
157a01b30c
hex4e152bc8

1310010312 has 64 divisors (see below), whose sum is σ = 3531024000. Its totient is φ = 402614784.

The previous prime is 1310010281. The next prime is 1310010323. The reversal of 1310010312 is 2130100131.

It is a super-2 number, since 2×13100103122 = 3432254035092674688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 350389 + ... + 354107.

It is an arithmetic number, because the mean of its divisors is an integer number (55172250).

Almost surely, 21310010312 is an apocalyptic number.

1310010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310010312 is an abundant number, since it is smaller than the sum of its proper divisors (2221013688).

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

1310010312 is a wasteful number, since it uses less digits than its factorization.

1310010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1310010312 is about 36194.0645962843. The cubic root of 1310010312 is about 1094.1870524062.

Adding to 1310010312 its reverse (2130100131), we get a palindrome (3440110443).

The spelling of 1310010312 in words is "one billion, three hundred ten million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1129 2258 3387 3719 4516 6774 7438 9032 11157 13548 14677 14876 22314 27096 29354 29752 44031 44628 48347 58708 88062 89256 96694 117416 145041 176124 193388 290082 352248 386776 580164 1160328 4198751 8397502 12596253 16795004 25192506 33590008 50385012 54583763 100770024 109167526 163751289 218335052 327502578 436670104 655005156 1310010312