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313012232010 = 233553101216571
BaseRepresentation
bin1001000111000001111…
…10111001111101001010
31002220221100201220101000
410203200332321331022
520112022112411020
6355443522235430
731420510033662
oct4434076717512
91086840656330
10313012232010
11110825276855
12507b71b5b76
13236948c408a
14112153731a2
15821ec2a090
hex48e0fb9f4a

313012232010 has 128 divisors (see below), whose sum is σ = 858872574720. Its totient is φ = 81083808000.

The previous prime is 313012231993. The next prime is 313012232021. The reversal of 313012232010 is 10232210313.

313012232010 is a `hidden beast` number, since 31 + 301 + 2 + 2 + 320 + 10 = 666.

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

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, 1337025 + ... + 1553595.

It is an arithmetic number, because the mean of its divisors is an integer number (6709941990).

Almost surely, 2313012232010 is an apocalyptic number.

313012232010 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 313012232010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429436287360).

313012232010 is an abundant number, since it is smaller than the sum of its proper divisors (545860342710).

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

313012232010 is a wasteful number, since it uses less digits than its factorization.

313012232010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216741 (or 216735 counting only the distinct ones).

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

Adding to 313012232010 its reverse (10232210313), we get a palindrome (323244442323).

The spelling of 313012232010 in words is "three hundred thirteen billion, twelve million, two hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 101 106 135 159 202 265 270 303 318 477 505 530 606 795 909 954 1010 1431 1515 1590 1818 2385 2727 2862 3030 4545 4770 5353 5454 7155 9090 10706 13635 14310 16059 26765 27270 32118 48177 53530 80295 96354 144531 160590 216571 240885 289062 433142 481770 649713 722655 1082855 1299426 1445310 1949139 2165710 3248565 3898278 5847417 6497130 9745695 11478263 11694834 19491390 21873671 22956526 29237085 34434789 43747342 57391315 58474170 65621013 68869578 103304367 109368355 114782630 131242026 172173945 196863039 206608734 218736710 309913101 328105065 344347890 393726078 516521835 590589117 619826202 656210130 984315195 1033043670 1159304563 1181178234 1549565505 1968630390 2318609126 2952945585 3099131010 3477913689 5796522815 5905891170 6955827378 10433741067 11593045630 17389568445 20867482134 31301223201 34779136890 52168705335 62602446402 104337410670 156506116005 313012232010