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313002323120 = 245171912113093
BaseRepresentation
bin1001000111000000110…
…01000110110010110000
31002220220200002110221002
410203200121012302300
520112012043314440
6355442530021132
731420326564044
oct4434031066260
91086820073832
10313002323120
1111081a719093
12507b3a177a8
1323692834b26
1411213d14024
15821de1e115
hex48e0646cb0

313002323120 has 80 divisors (see below), whose sum is σ = 811092774240. Its totient is φ = 111634255872.

The previous prime is 313002323071. The next prime is 313002323131. The reversal of 313002323120 is 21323200313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313002323092 and 313002323101.

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, 6030707 + ... + 6082386.

It is an arithmetic number, because the mean of its divisors is an integer number (10138659678).

Almost surely, 2313002323120 is an apocalyptic number.

It is an amenable number.

313002323120 is an abundant number, since it is smaller than the sum of its proper divisors (498090451120).

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

313002323120 is a wasteful number, since it uses less digits than its factorization.

313002323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12113142 (or 12113136 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 313002323120 its reverse (21323200313), we get a palindrome (334325523433).

The spelling of 313002323120 in words is "three hundred thirteen billion, two million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 12920 25840 12113093 24226186 48452372 60565465 96904744 121130930 193809488 205922581 230148767 242261860 411845162 460297534 484523720 823690324 920595068 969047440 1029612905 1150743835 1647380648 1841190136 2059225810 2301487670 3294761296 3682380272 3912529039 4118451620 4602975340 7825058078 8236903240 9205950680 15650116156 16473806480 18411901360 19562645195 31300232312 39125290390 62600464624 78250580780 156501161560 313002323120