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313212131220 = 223573487146837
BaseRepresentation
bin1001000111011001110…
…01011101011110010100
31002221110021212211112110
410203230321131132110
520112424301144340
6355515422551020
731425455121342
oct4435471353624
91087407784473
10313212131220
111109180a000a
1250852138470
13236c7144531
1411233b2a992
158232564680
hex48ece5d794

313212131220 has 96 divisors (see below), whose sum is σ = 890839127808. Its totient is φ = 82209364992.

The previous prime is 313212131189. The next prime is 313212131291. The reversal of 313212131220 is 22131212313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059642 + ... + 2206478.

It is an arithmetic number, because the mean of its divisors is an integer number (9279574248).

Almost surely, 2313212131220 is an apocalyptic number.

313212131220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313212131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445419563904).

313212131220 is an abundant number, since it is smaller than the sum of its proper divisors (577626996588).

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

313212131220 is a wasteful number, since it uses less digits than its factorization.

313212131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147409 (or 147407 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313212131220 its reverse (22131212313), we get a palindrome (335343343533).

The spelling of 313212131220 in words is "three hundred thirteen billion, two hundred twelve million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 487 730 876 974 1095 1460 1461 1948 2190 2435 2922 4380 4870 5844 7305 9740 14610 29220 35551 71102 106653 142204 146837 177755 213306 293674 355510 426612 440511 533265 587348 711020 734185 881022 1066530 1468370 1762044 2133060 2202555 2936740 4405110 8810220 10719101 21438202 32157303 42876404 53595505 64314606 71509619 107191010 128629212 143019238 160786515 214382020 214528857 286038476 321573030 357548095 429057714 643146060 715096190 858115428 1072644285 1430192380 2145288570 4290577140 5220202187 10440404374 15660606561 20880808748 26101010935 31321213122 52202021870 62642426244 78303032805 104404043740 156606065610 313212131220