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103012096 = 2811157233
BaseRepresentation
bin1100010001111…
…01011100000000
321011211120000211
412020331130000
5202332341341
614115523504
72360405545
oct610753400
9234746024
10103012096
1153169570
122a5b9594
1318459805
14d976bcc
15909c181
hex623d700

103012096 has 72 divisors (see below), whose sum is σ = 226712304. Its totient is φ = 46325760.

The previous prime is 103012093. The next prime is 103012097. The reversal of 103012096 is 690210301.

It is a super-2 number, since 2×1030120962 = 21222983844626432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012093) by changing a digit.

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, 441996 + ... + 442228.

It is an arithmetic number, because the mean of its divisors is an integer number (3148782).

Almost surely, 2103012096 is an apocalyptic number.

103012096 is a gapful number since it is divisible by the number (16) 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 103012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113356152).

103012096 is an abundant number, since it is smaller than the sum of its proper divisors (123700208).

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

103012096 is a wasteful number, since it uses less digits than its factorization.

103012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 103012096 is about 10149.4874747447. The cubic root of 103012096 is about 468.7731637501.

Adding to 103012096 its reverse (690210301), we get a palindrome (793222397).

The spelling of 103012096 in words is "one hundred three million, twelve thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 157 176 233 256 314 352 466 628 704 932 1256 1408 1727 1864 2512 2563 2816 3454 3728 5024 5126 6908 7456 10048 10252 13816 14912 20096 20504 27632 29824 36581 40192 41008 55264 59648 73162 82016 110528 146324 164032 221056 292648 328064 402391 442112 585296 656128 804782 1170592 1609564 2341184 3219128 4682368 6438256 9364736 12876512 25753024 51506048 103012096