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101012132 = 22131925381
BaseRepresentation
bin1100000010101…
…01001010100100
321001001221121002
412001111022210
5201324342012
614005012432
72334406004
oct601251244
9231057532
10101012132
1152022a01
12299b4118
1317c093c0
14d5b6004
158d047c2
hex60552a4

101012132 has 36 divisors (see below), whose sum is σ = 200953116. Its totient is φ = 44159040.

The previous prime is 101012089. The next prime is 101012137. The reversal of 101012132 is 231210101.

It can be written as a sum of positive squares in 2 ways, for example, as 23290276 + 77721856 = 4826^2 + 8816^2 .

It is a super-2 number, since 2×1010121322 = 20406901622370848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16082 + ... + 21462.

It is an arithmetic number, because the mean of its divisors is an integer number (5582031).

Almost surely, 2101012132 is an apocalyptic number.

It is an amenable number.

101012132 is a deficient number, since it is larger than the sum of its proper divisors (99940984).

101012132 is a wasteful number, since it uses less digits than its factorization.

101012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101012132 is about 10050.4791925559. The cubic root of 101012132 is about 465.7195965155.

Adding to 101012132 its reverse (231210101), we get a palindrome (332222233).

The spelling of 101012132 in words is "one hundred one million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 13 19 26 38 52 76 247 361 494 722 988 1444 4693 5381 9386 10762 18772 21524 69953 102239 139906 204478 279812 408956 1329107 1942541 2658214 3885082 5316428 7770164 25253033 50506066 101012132