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313000102203102 = 232411014199201779
BaseRepresentation
bin100011100101011000000001…
…1111010000000111011011110
31112001020111222021202120102200
41013022300003322000323132
5312011143202130444402
63025410132323232330
7122633340214120626
oct10712600372007336
91461214867676380
10313000102203102
1190805663885996
122b131624b186a6
1310585a242c5732
145741400263886
15262bcb6e8321c
hex11cac03e80ede

313000102203102 has 48 divisors (see below), whose sum is σ = 701585836595280. Its totient is φ = 100780842672000.

The previous prime is 313000102203097. The next prime is 313000102203149. The reversal of 313000102203102 is 201302201000313.

313000102203102 is a `hidden beast` number, since 3 + 130 + 0 + 0 + 1 + 0 + 220 + 310 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2099526352 + ... + 2099675427.

It is an arithmetic number, because the mean of its divisors is an integer number (14616371595735).

Almost surely, 2313000102203102 is an apocalyptic number.

313000102203102 is an abundant number, since it is smaller than the sum of its proper divisors (388585734392178).

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

313000102203102 is a wasteful number, since it uses less digits than its factorization.

313000102203102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199201929 (or 4199201926 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313000102203102 its reverse (201302201000313), we get a palindrome (514302303203415).

The spelling of 313000102203102 in words is "three hundred thirteen trillion, one hundred two million, two hundred three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 41 82 101 123 202 246 303 369 606 738 909 1818 4141 8282 12423 24846 37269 74538 4199201779 8398403558 12597605337 25195210674 37792816011 75585632022 172167272939 344334545878 424119379679 516501818817 848238759358 1033003637634 1272358139037 1549505456451 2544716278074 3099010912902 3817074417111 7634148834222 17388894566839 34777789133678 52166683700517 104333367401034 156500051101551 313000102203102