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101151424 = 2611236247
BaseRepresentation
bin1100000011101…
…11001011000000
321001100000200001
412001313023000
5201343321144
614012005344
72335526053
oct601671300
9231300601
10101151424
1152108620
1229a60854
1317c5791a
14d610a9a
158d30bd4
hex60772c0

101151424 has 56 divisors (see below), whose sum is σ = 228526848. Its totient is φ = 43971840.

The previous prime is 101151403. The next prime is 101151431. The reversal of 101151424 is 424151101.

It is a super-2 number, since 2×1011514242 = 20463221154455552, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13069 + ... + 19315.

Almost surely, 2101151424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114263424).

101151424 is an abundant number, since it is smaller than the sum of its proper divisors (127375424).

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

101151424 is a wasteful number, since it uses less digits than its factorization.

101151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 101151424 is about 10057.4064251178. The cubic root of 101151424 is about 465.9335682346.

It can be divided in two parts, 101 and 151424, that added together give a triangular number (151525 = T550).

The spelling of 101151424 in words is "one hundred one million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 6247 8096 12494 16192 24988 49976 68717 99952 137434 143681 199904 274868 287362 399808 549736 574724 1099472 1149448 1580491 2198944 2298896 3160982 4397888 4597792 6321964 9195584 12643928 25287856 50575712 101151424