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106201251252 = 2233983344919
BaseRepresentation
bin110001011101000010…
…1100111110110110100
3101011010100101112202000
41202322011213312310
53220000010020002
6120442125215300
710446523512135
oct1427205476664
9334110345660
10106201251252
1141048923a38
12186ba701530
13a0264b0195
1451d6899c8c
152b6887761c
hex18ba167db4

106201251252 has 24 divisors (see below), whose sum is σ = 275336577600. Its totient is φ = 35400417048.

The previous prime is 106201251239. The next prime is 106201251271. The reversal of 106201251252 is 252152102601.

106201251252 is a `hidden beast` number, since 1 + 0 + 620 + 1 + 25 + 12 + 5 + 2 = 666.

It is a super-2 number, since 2×1062012512522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491672352 + ... + 491672567.

It is an arithmetic number, because the mean of its divisors is an integer number (11472357400).

Almost surely, 2106201251252 is an apocalyptic number.

106201251252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106201251252 is an abundant number, since it is smaller than the sum of its proper divisors (169135326348).

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

106201251252 is a wasteful number, since it uses less digits than its factorization.

106201251252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983344932 (or 983344924 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 106201251252 its reverse (252152102601), we get a palindrome (358353353853).

The spelling of 106201251252 in words is "one hundred six billion, two hundred one million, two hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 983344919 1966689838 2950034757 3933379676 5900069514 8850104271 11800139028 17700208542 26550312813 35400417084 53100625626 106201251252