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22031132100 = 22352611203887
BaseRepresentation
bin10100100001001010…
…000110010111000100
32002212101110110200120
4110201022012113010
5330104432211400
614042043341540
71406644350555
oct244112062704
962771413616
1022031132100
119385aaa69a
12432a2218b0
132101432353
1410cdd6632c
1588e22cca0
hex5212865c4

22031132100 has 72 divisors (see below), whose sum is σ = 64788436608. Its totient is φ = 5778652800.

The previous prime is 22031132063. The next prime is 22031132147. The reversal of 22031132100 is 123113022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22031132100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 583644 + ... + 620243.

Almost surely, 222031132100 is an apocalyptic number.

22031132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22031132100 is an abundant number, since it is smaller than the sum of its proper divisors (42757304508).

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

22031132100 is a wasteful number, since it uses less digits than its factorization.

22031132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203965 (or 1203958 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22031132100 its reverse (123113022), we get a palindrome (22154245122).

The spelling of 22031132100 in words is "twenty-two billion, thirty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 18300 1203887 2407774 3611661 4815548 6019435 7223322 12038870 14446644 18058305 24077740 30097175 36116610 60194350 72233220 73437107 90291525 120388700 146874214 180583050 220311321 293748428 361166100 367185535 440622642 734371070 881245284 1101556605 1468742140 1835927675 2203113210 3671855350 4406226420 5507783025 7343710700 11015566050 22031132100