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13130213310 = 2325373943007
BaseRepresentation
bin11000011101001111…
…10010011110111110
31020220001210221112200
430032213302132332
5203342313311220
610010522012330
7643243654164
oct141647623676
936801727480
1013130213310
115628732665
1226653470a6
1313133635b6
148c7b83234
1551cac3890
hex30e9f27be

13130213310 has 48 divisors (see below), whose sum is σ = 35061227136. Its totient is φ = 3406757184.

The previous prime is 13130213293. The next prime is 13130213323. The reversal of 13130213310 is 1331203131.

It is a happy number.

13130213310 is a `hidden beast` number, since 1 + 31 + 302 + 1 + 331 + 0 = 666.

It is a super-2 number, since 2×131302133102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968174 + ... + 1974833.

It is an arithmetic number, because the mean of its divisors is an integer number (730442232).

Almost surely, 213130213310 is an apocalyptic number.

13130213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130213310 is an abundant number, since it is smaller than the sum of its proper divisors (21931013826).

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

13130213310 is a wasteful number, since it uses less digits than its factorization.

13130213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943057 (or 3943054 counting only the distinct ones).

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

Adding to 13130213310 its reverse (1331203131), we get a palindrome (14461416441).

The spelling of 13130213310 in words is "thirteen billion, one hundred thirty million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3943007 7886014 11829021 19715035 23658042 35487063 39430070 59145105 70974126 118290210 145891259 177435315 291782518 354870630 437673777 729456295 875347554 1313021331 1458912590 2188368885 2626042662 4376737770 6565106655 13130213310