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101422314 = 23371571709
BaseRepresentation
bin1100000101110…
…01010011101010
321001211210021000
412002321103222
5201431003224
614021455430
72341034610
oct602712352
9231753230
10101422314
11522830a4
1229b71576
1318021006
14d6816b0
158d860c9
hex60b94ea

101422314 has 64 divisors (see below), whose sum is σ = 259372800. Its totient is φ = 28776384.

The previous prime is 101422313. The next prime is 101422339. The reversal of 101422314 is 413224101.

It is a super-2 number, since 2×1014223142 = 20572971554229192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101422313) 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 31 ways as a sum of consecutive naturals, for example, 58492 + ... + 60200.

It is an arithmetic number, because the mean of its divisors is an integer number (4052700).

Almost surely, 2101422314 is an apocalyptic number.

101422314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101422314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129686400).

101422314 is an abundant number, since it is smaller than the sum of its proper divisors (157950486).

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

101422314 is a wasteful number, since it uses less digits than its factorization.

101422314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101422314 is about 10070.8646103500. The cubic root of 101422314 is about 466.3491308122.

Adding to 101422314 its reverse (413224101), we get a palindrome (514646415).

The spelling of 101422314 in words is "one hundred one million, four hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 157 189 314 378 471 942 1099 1413 1709 2198 2826 3297 3418 4239 5127 6594 8478 9891 10254 11963 15381 19782 23926 29673 30762 35889 46143 59346 71778 92286 107667 215334 268313 323001 536626 646002 804939 1609878 1878191 2414817 3756382 4829634 5634573 7244451 11269146 14488902 16903719 33807438 50711157 101422314