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101989152 = 2533118043
BaseRepresentation
bin1100001010000…
…11101100100000
321002220120211000
412011003230200
5202102123102
614041552000
72345615316
oct605035440
9232816730
10101989152
115262aa61
122a1a5600
131818c015
14d78c0b6
158e4901c
hex6143b20

101989152 has 48 divisors (see below), whose sum is σ = 297470880. Its totient is φ = 33996096.

The previous prime is 101989141. The next prime is 101989193. The reversal of 101989152 is 251989101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 58158 + ... + 59885.

It is an arithmetic number, because the mean of its divisors is an integer number (6197310).

Almost surely, 2101989152 is an apocalyptic number.

101989152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101989152 is an abundant number, since it is smaller than the sum of its proper divisors (195481728).

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

101989152 is a wasteful number, since it uses less digits than its factorization.

101989152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118062 (or 118048 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 101989152 is about 10098.9678680546. The cubic root of 101989152 is about 467.2163083849.

The spelling of 101989152 in words is "one hundred one million, nine hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 118043 236086 354129 472172 708258 944344 1062387 1416516 1888688 2124774 2833032 3187161 3777376 4249548 5666064 6374322 8499096 11332128 12748644 16998192 25497288 33996384 50994576 101989152