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1310002120 = 235719246241
BaseRepresentation
bin100111000010101…
…0000101111001000
310101022000000002001
41032011100233020
510140330031440
6333553520344
744314556110
oct11605205710
93338000061
101310002120
11612509a89
123068730b4
1317b52a7ab
14c5da6040
157a018b9a
hex4e150bc8

1310002120 has 64 divisors (see below), whose sum is σ = 3545884800. Its totient is φ = 425502720.

The previous prime is 1310002117. The next prime is 1310002163. The reversal of 1310002120 is 212000131.

It is a super-2 number, since 2×13100021202 = 3432211108808988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1310002097 and 1310002106.

It is an unprimeable number.

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, 117801 + ... + 128440.

It is an arithmetic number, because the mean of its divisors is an integer number (55404450).

Almost surely, 21310002120 is an apocalyptic number.

1310002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310002120 is an abundant number, since it is smaller than the sum of its proper divisors (2235882680).

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

1310002120 is a wasteful number, since it uses less digits than its factorization.

1310002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246278 (or 246274 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1310002120 is about 36193.9514283810. The cubic root of 1310002120 is about 1094.1847716101.

Adding to 1310002120 its reverse (212000131), we get a palindrome (1522002251).

The spelling of 1310002120 in words is "one billion, three hundred ten million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 246241 492482 984964 1231205 1723687 1969928 2462410 3447374 4678579 4924820 6894748 8618435 9357158 9849640 13789496 17236870 18714316 23392895 32750053 34473740 37428632 46785790 65500106 68947480 93571580 131000212 163750265 187143160 262000424 327500530 655001060 1310002120