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313103330040 = 23354815754181
BaseRepresentation
bin1001000111001100110…
…10011010101011111000
31002221011201011011101010
410203212122122223320
520112213423030130
6355500534553520
731422664251624
oct4434632325370
91087151134333
10313103330040
11110871738086
12508218088a0
13236aa73ba37
14112234c8184
158227c220b0
hex48e669aaf8

313103330040 has 64 divisors (see below), whose sum is σ = 939346832160. Its totient is φ = 83490946560.

The previous prime is 313103330017. The next prime is 313103330081. The reversal of 313103330040 is 40033301313.

It is a junction number, because it is equal to n+sod(n) for n = 313103329989 and 313103330016.

It is a congruent number.

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, 5751750 + ... + 5805930.

Almost surely, 2313103330040 is an apocalyptic number.

313103330040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313103330040 is an abundant number, since it is smaller than the sum of its proper divisors (626243502120).

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

313103330040 is a wasteful number, since it uses less digits than its factorization.

313103330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102352 (or 102348 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 313103330040 its reverse (40033301313), we get a palindrome (353136631353).

The spelling of 313103330040 in words is "three hundred thirteen billion, one hundred three million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 48157 54181 96314 108362 144471 162543 192628 216724 240785 270905 288942 325086 385256 433448 481570 541810 577884 650172 722355 812715 963140 1083620 1155768 1300344 1444710 1625430 1926280 2167240 2889420 3250860 5778840 6501720 2609194417 5218388834 7827583251 10436777668 13045972085 15655166502 20873555336 26091944170 31310333004 39137916255 52183888340 62620666008 78275832510 104367776680 156551665020 313103330040