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101112234020 = 22572103175749
BaseRepresentation
bin101111000101011000…
…0100100000000100100
3100122222200111200111022
41132022300210000210
53124034212442040
6114241134030312
710206440544200
oct1361260440044
9318880450438
10101112234020
1139977246a76
121771a348398
1396c5084a95
144c72a65b00
15296bbda6b5
hex178ac24024

101112234020 has 36 divisors (see below), whose sum is σ = 247002745500. Its totient is φ = 34667051328.

The previous prime is 101112234019. The next prime is 101112234023. The reversal of 101112234020 is 20432211101.

It can be written as a sum of positive squares in 2 ways, for example, as 46652544064 + 54459689956 = 215992^2 + 233366^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101112234020.

It is not an unprimeable number, because it can be changed into a prime (101112234023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51586895 + ... + 51588854.

It is an arithmetic number, because the mean of its divisors is an integer number (6861187375).

Almost surely, 2101112234020 is an apocalyptic number.

101112234020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112234020 is an abundant number, since it is smaller than the sum of its proper divisors (145890511480).

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

101112234020 is a wasteful number, since it uses less digits than its factorization.

101112234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103175772 (or 103175763 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101112234020 its reverse (20432211101), we get a palindrome (121544445121).

The spelling of 101112234020 in words is "one hundred one billion, one hundred twelve million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 103175749 206351498 412702996 515878745 722230243 1031757490 1444460486 2063514980 2888920972 3611151215 5055611701 7222302430 10111223402 14444604860 20222446804 25278058505 50556117010 101112234020