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112003201310 = 257111311189131
BaseRepresentation
bin110100001001111101…
…0010011100100011110
3101201002200210010222012
41220103322103210132
53313340304420220
6123241545151222
711043354334340
oct1502372234436
9351080703865
10112003201310
1143555983990
121985978b512
13a73c525420
1455c7273290
152da7dddac5
hex1a13e9391e

112003201310 has 64 divisors (see below), whose sum is σ = 270687481344. Its totient is φ = 32224694400.

The previous prime is 112003201307. The next prime is 112003201351. The reversal of 112003201310 is 13102300211.

It is a super-2 number, since 2×1120032013102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5584556 + ... + 5604575.

It is an arithmetic number, because the mean of its divisors is an integer number (4229491896).

Almost surely, 2112003201310 is an apocalyptic number.

112003201310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112003201310 is an abundant number, since it is smaller than the sum of its proper divisors (158684280034).

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

112003201310 is a wasteful number, since it uses less digits than its factorization.

112003201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189169.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 112003201310 its reverse (13102300211), we get a palindrome (125105501521).

It can be divided in two parts, 112003 and 201310, that added together give a palindrome (313313).

The spelling of 112003201310 in words is "one hundred twelve billion, three million, two hundred one thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 11189131 22378262 55945655 78323917 111891310 123080441 145458703 156647834 246160882 290917406 391619585 615402205 727293515 783239170 861563087 1018210921 1230804410 1454587030 1600045733 1723126174 2036421842 3200091466 4307815435 5091054605 8000228665 8615630870 10182109210 11200320131 16000457330 22400640262 56001600655 112003201310