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103141136 = 2477911657
BaseRepresentation
bin1100010010111…
…00111100010000
321012002010001002
412021130330100
5202401004021
614122401132
72361454010
oct611347420
9235063032
10103141136
115324750a
122a6601a8
13184a3477
14d9abc40
1590c550b
hex625cf10

103141136 has 40 divisors (see below), whose sum is σ = 231294720. Its totient is φ = 43640064.

The previous prime is 103141097. The next prime is 103141229. The reversal of 103141136 is 631141301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3020 + ... + 14676.

It is an arithmetic number, because the mean of its divisors is an integer number (5782368).

Almost surely, 2103141136 is an apocalyptic number.

103141136 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 103141136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115647360).

103141136 is an abundant number, since it is smaller than the sum of its proper divisors (128153584).

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

103141136 is a wasteful number, since it uses less digits than its factorization.

103141136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11751 (or 11745 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 103141136 is about 10155.8424564386. The cubic root of 103141136 is about 468.9688211884.

Adding to 103141136 its reverse (631141301), we get a palindrome (734282437).

The spelling of 103141136 in words is "one hundred three million, one hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 4424 8848 11657 23314 46628 81599 93256 163198 186512 326396 652792 920903 1305584 1841806 3683612 6446321 7367224 12892642 14734448 25785284 51570568 103141136