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106220531400 = 23352177034219
BaseRepresentation
bin110001011101100111…
…1001010111011001000
3101011011200200002010120
41202323033022323020
53220014424001100
6120444054343240
710450146422364
oct1427317127310
9334150602116
10106220531400
11410587a2445
121870505ab20
13a02a4a0a59
1451d92782a4
152b6a3d50a0
hex18bb3caec8

106220531400 has 48 divisors (see below), whose sum is σ = 329283649200. Its totient is φ = 28325474880.

The previous prime is 106220531363. The next prime is 106220531411. The reversal of 106220531400 is 4135022601.

It is a super-2 number, since 2×1062205314002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88516510 + ... + 88517709.

It is an arithmetic number, because the mean of its divisors is an integer number (6860076025).

Almost surely, 2106220531400 is an apocalyptic number.

106220531400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106220531400 is an abundant number, since it is smaller than the sum of its proper divisors (223063117800).

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

106220531400 is a wasteful number, since it uses less digits than its factorization.

106220531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177034238 (or 177034229 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 106220531400 in words is "one hundred six billion, two hundred twenty million, five hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 177034219 354068438 531102657 708136876 885171095 1062205314 1416273752 1770342190 2124410628 2655513285 3540684380 4248821256 4425855475 5311026570 7081368760 8851710950 10622053140 13277566425 17703421900 21244106280 26555132850 35406843800 53110265700 106220531400