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101714148 = 223210327431
BaseRepresentation
bin1100001000000…
…00100011100100
321002101121120200
412010000203210
5202014323043
614032030500
72343361464
oct604004344
9232347520
10101714148
1152462388
122a092430
13180c3ab3
14d719ba4
158de27d3
hex61008e4

101714148 has 36 divisors (see below), whose sum is σ = 259616448. Its totient is φ = 33574320.

The previous prime is 101714141. The next prime is 101714183. The reversal of 101714148 is 841417101.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (101714141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10008 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (7211568).

Almost surely, 2101714148 is an apocalyptic number.

101714148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101714148 is an abundant number, since it is smaller than the sum of its proper divisors (157902300).

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

101714148 is a wasteful number, since it uses less digits than its factorization.

101714148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27544 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 101714148 is about 10085.3432266830. The cubic root of 101714148 is about 466.7959956746.

The spelling of 101714148 in words is "one hundred one million, seven hundred fourteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 27431 54862 82293 109724 164586 246879 329172 493758 987516 2825393 5650786 8476179 11301572 16952358 25428537 33904716 50857074 101714148