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313022310030 = 23357116797777
BaseRepresentation
bin1001000111000011001…
…01010110011010001110
31002220222001200220211000
410203201211112122032
520112032202410110
6355444522241130
731420661506653
oct4434145263216
91086861626730
10313022310030
1111082aa2a5a1
12507ba6561a6
1323696a122c1
1411216837c2a
158220a6b1c0
hex48e195668e

313022310030 has 128 divisors (see below), whose sum is σ = 851560335360. Its totient is φ = 81803312640.

The previous prime is 313022309993. The next prime is 313022310061. The reversal of 313022310030 is 30013220313.

313022310030 is a `hidden beast` number, since 313 + 0 + 223 + 100 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313022309985 and 313022310012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3152502 + ... + 3250278.

It is an arithmetic number, because the mean of its divisors is an integer number (6652815120).

Almost surely, 2313022310030 is an apocalyptic number.

313022310030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313022310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425780167680).

313022310030 is an abundant number, since it is smaller than the sum of its proper divisors (538538025330).

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

313022310030 is a wasteful number, since it uses less digits than its factorization.

313022310030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98031 (or 98025 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313022310030 its reverse (30013220313), we get a palindrome (343035530343).

The spelling of 313022310030 in words is "three hundred thirteen billion, twenty-two million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 167 213 270 334 355 426 501 639 710 835 1002 1065 1278 1503 1670 1917 2130 2505 3006 3195 3834 4509 5010 6390 7515 9018 9585 11857 15030 19170 22545 23714 35571 45090 59285 71142 97777 106713 118570 177855 195554 213426 293331 320139 355710 488885 533565 586662 640278 879993 977770 1067130 1466655 1600695 1759986 2639979 2933310 3201390 4399965 5279958 6942167 8799930 13199895 13884334 16328759 20826501 26399790 32657518 34710835 41653002 48986277 62479503 69421670 81643795 97972554 104132505 124959006 146958831 163287590 187438509 208265010 244931385 293917662 312397515 374877018 440876493 489862770 624795030 734794155 881752986 937192545 1159341889 1469588310 1874385090 2204382465 2318683778 3478025667 4408764930 5796709445 6956051334 10434077001 11593418890 17390128335 20868154002 31302231003 34780256670 52170385005 62604462006 104340770010 156511155015 313022310030