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101425572 = 223219791877
BaseRepresentation
bin1100000101110…
…10000110100100
321001211221201200
412002322012210
5201431104242
614021522500
72341050243
oct602720644
9231757650
10101425572
1152285596
1229b73430
1318022641
14d68295a
158d8704c
hex60ba1a4

101425572 has 72 divisors (see below), whose sum is σ = 273436800. Its totient is φ = 31606848.

The previous prime is 101425567. The next prime is 101425601. The reversal of 101425572 is 275524101.

101425572 is a `hidden beast` number, since 101 + 4 + 2 + 557 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53098 + ... + 54974.

Almost surely, 2101425572 is an apocalyptic number.

101425572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101425572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136718400).

101425572 is an abundant number, since it is smaller than the sum of its proper divisors (172011228).

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

101425572 is a wasteful number, since it uses less digits than its factorization.

101425572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 101425572 is about 10071.0263627894. The cubic root of 101425572 is about 466.3541242867.

Adding to 101425572 its reverse (275524101), we get a palindrome (376949673).

The spelling of 101425572 in words is "one hundred one million, four hundred twenty-five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 158 171 228 237 316 342 474 684 711 948 1422 1501 1877 2844 3002 3754 4503 5631 6004 7508 9006 11262 13509 16893 18012 22524 27018 33786 35663 54036 67572 71326 106989 142652 148283 213978 296566 320967 427956 444849 593132 641934 889698 1283868 1334547 1779396 2669094 2817377 5338188 5634754 8452131 11269508 16904262 25356393 33808524 50712786 101425572