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213322331112 = 23311273458103
BaseRepresentation
bin1100011010101100000…
…0000111001111101000
3202101121210121020010020
43012223000013033220
511443341004043422
6241555433520440
721261216616332
oct3065300071750
9671553536106
10213322331112
1182518992800
1235415273120
131716840a137
14a479594452
155837d4695c
hex31ab0073e8

213322331112 has 48 divisors (see below), whose sum is σ = 586195669920. Its totient is φ = 64643129760.

The previous prime is 213322331107. The next prime is 213322331113. The reversal of 213322331112 is 211133223312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213322331113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36726148 + ... + 36731955.

It is an arithmetic number, because the mean of its divisors is an integer number (12212409790).

Almost surely, 2213322331112 is an apocalyptic number.

213322331112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213322331112 is an abundant number, since it is smaller than the sum of its proper divisors (372873338808).

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

213322331112 is a wasteful number, since it uses less digits than its factorization.

213322331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73458134 (or 73458119 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 213322331112 its reverse (211133223312), we get a palindrome (424455554424).

The spelling of 213322331112 in words is "two hundred thirteen billion, three hundred twenty-two million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 73458103 146916206 220374309 293832412 440748618 587664824 808039133 881497236 1616078266 1762994472 2424117399 3232156532 4848234798 6464313064 8888430463 9696469596 17776860926 19392939192 26665291389 35553721852 53330582778 71107443704 106661165556 213322331112