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313305201443031 = 37217953313151393
BaseRepresentation
bin100011100111100110000110…
…1001111010000000011010111
31112002022200111011210211022220
41013033030031033100003113
5312031143023032134111
63030202231134553423
7122664360650636100
oct10717141517200327
91462280434724286
10313305201443031
1190912a98401666
122b180792068873
13105a87276bb775
1457520a46db3a7
152634bc214ce06
hex11cf30d3d00d7

313305201443031 has 48 divisors (see below), whose sum is σ = 514581642185184. Its totient is φ = 168482588123136.

The previous prime is 313305201442979. The next prime is 313305201443057. The reversal of 313305201443031 is 130344102503313.

It is a happy number.

It is not a de Polignac number, because 313305201443031 - 210 = 313305201442007 is a prime.

It is a super-2 number, since 2×3133052014430312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313305201442983 and 313305201443001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313305201443071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17247271 + ... + 30398663.

It is an arithmetic number, because the mean of its divisors is an integer number (10720450878858).

Almost surely, 2313305201443031 is an apocalyptic number.

313305201443031 is a deficient number, since it is larger than the sum of its proper divisors (201276440742153).

313305201443031 is a wasteful number, since it uses less digits than its factorization.

313305201443031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13160960 (or 13160953 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 313305201443031 its reverse (130344102503313), we get a palindrome (443649303946344).

The spelling of 313305201443031 in words is "three hundred thirteen trillion, three hundred five billion, two hundred one million, four hundred forty-three thousand, thirty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 2499 9533 28599 66731 162061 200193 467117 486183 1134427 1401351 3403281 7940989 13151393 23822967 39454179 92059751 223573681 276179253 644418257 670721043 1565015767 1933254771 4695047301 10955110369 32865331107 125372229469 376116688407 877605606283 2131327900973 2632816818849 6143239243981 6393983702919 14919295306811 18429717731943 44757885920433 104435067147677 313305201443031