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10310002120 = 23511107218989
BaseRepresentation
bin10011001101000011…
…00010010111001000
3222121112002101002101
421212201202113020
5132103330031440
64423015043144
7513330400135
oct114641422710
928545071071
1010310002120
114410800210
121bb89704b4
13c83caaa92
146db3bb58c
154051e569a
hex2668625c8

10310002120 has 64 divisors (see below), whose sum is σ = 25542993600. Its totient is φ = 3714036480.

The previous prime is 10310002099. The next prime is 10310002139. The reversal of 10310002120 is 2120001301.

It is a super-2 number, since 2×103100021202 (a number of 21 digits) 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 = 10310002097 and 10310002106.

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, 62415 + ... + 156574.

It is an arithmetic number, because the mean of its divisors is an integer number (399109275).

Almost surely, 210310002120 is an apocalyptic number.

10310002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310002120 is an abundant number, since it is smaller than the sum of its proper divisors (15232991480).

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

10310002120 is a wasteful number, since it uses less digits than its factorization.

10310002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219118 (or 219114 counting only the distinct ones).

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

Adding to 10310002120 its reverse (2120001301), we get a palindrome (12430003421).

The spelling of 10310002120 in words is "ten billion, three hundred ten million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 9416 11770 23540 47080 218989 437978 875956 1094945 1751912 2189890 2408879 4379780 4817758 8759560 9635516 12044395 19271032 23431823 24088790 46863646 48177580 93727292 96355160 117159115 187454584 234318230 257750053 468636460 515500106 937272920 1031000212 1288750265 2062000424 2577500530 5155001060 10310002120