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101555412 = 223710711299
BaseRepresentation
bin1100000110110…
…01110011010100
321002002112211120
412003121303110
5201444233122
614024403540
72342130630
oct603316324
9232075746
10101555412
11523640a2
122a0165b0
131806977a
14d6b7dc0
158db075c
hex60d9cd4

101555412 has 48 divisors (see below), whose sum is σ = 273369600. Its totient is φ = 28742112.

The previous prime is 101555393. The next prime is 101555413. The reversal of 101555412 is 214555101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101555413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3339 + ... + 14637.

It is an arithmetic number, because the mean of its divisors is an integer number (5695200).

Almost surely, 2101555412 is an apocalyptic number.

101555412 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 101555412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136684800).

101555412 is an abundant number, since it is smaller than the sum of its proper divisors (171814188).

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

101555412 is a wasteful number, since it uses less digits than its factorization.

101555412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 101555412 is about 10077.4705159579. The cubic root of 101555412 is about 466.5530405900.

The spelling of 101555412 in words is "one hundred one million, five hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 11299 22598 33897 45196 67794 79093 135588 158186 237279 316372 474558 949116 1208993 2417986 3626979 4835972 7253958 8462951 14507916 16925902 25388853 33851804 50777706 101555412