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313110103010130 = 23253797969351113
BaseRepresentation
bin100011100110001011010000…
…0011101110010101101010010
31112001122000220102200112211200
41013030112200131302231102
5312014443442332311010
63025532443502252030
7122644313145422136
oct10714264035625522
91461560812615750
10313110103010130
1190848281427368
122b14aa03b87016
1310593204a15a6a
1457468775b73c6
15262eaa4189cc0
hex11cc5a0772b52

313110103010130 has 96 divisors (see below), whose sum is σ = 844708070357424. Its totient is φ = 80401858633728.

The previous prime is 313110103010119. The next prime is 313110103010141. The reversal of 313110103010130 is 31010301011313.

313110103010130 is a `hidden beast` number, since 3 + 131 + 101 + 0 + 301 + 0 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (313110103010119) and next prime (313110103010141).

It can be written as a sum of positive squares in 8 ways, for example, as 119579408246169 + 193530694763961 = 10935237^2 + 13911531^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484352547 + ... + 484998566.

Almost surely, 2313110103010130 is an apocalyptic number.

313110103010130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313110103010130 is an abundant number, since it is smaller than the sum of its proper divisors (531597967347294).

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

313110103010130 is a wasteful number, since it uses less digits than its factorization.

313110103010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969351260 (or 969351257 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 313110103010130 its reverse (31010301011313), we get a palindrome (344120404021443).

The spelling of 313110103010130 in words is "three hundred thirteen trillion, one hundred ten billion, one hundred three million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 97 111 185 194 222 291 333 370 485 555 582 666 873 970 1110 1455 1665 1746 2910 3330 3589 4365 7178 8730 10767 17945 21534 32301 35890 53835 64602 107670 161505 323010 969351113 1938702226 2908053339 4846755565 5816106678 8724160017 9693511130 14540266695 17448320034 29080533390 35865991181 43620800085 71731982362 87241600170 94027057961 107597973543 179329955905 188054115922 215195947086 282081173883 322793920629 358659911810 470135289805 537989867715 564162347766 645587841258 846243521649 940270579610 1075979735430 1410405869415 1613969603145 1692487043298 2820811738830 3227939206290 3479001144557 4231217608245 6958002289114 8462435216490 10437003433671 17395005722785 20874006867342 31311010301013 34790011445570 52185017168355 62622020602026 104370034336710 156555051505065 313110103010130