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101969152 = 28834799
BaseRepresentation
bin1100001001111…
…10110100000000
321002212120101021
412010332310000
5202101003102
614041315224
72345503105
oct604766400
9232776337
10101969152
1152616a2a
122a195b14
1318182b9c
14d784aac
158e43137
hex613ed00

101969152 has 36 divisors (see below), whose sum is σ = 206035200. Its totient is φ = 50359808.

The previous prime is 101969113. The next prime is 101969159. The reversal of 101969152 is 251969101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101969159) 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 3 ways as a sum of consecutive naturals, for example, 18849 + ... + 23647.

It is an arithmetic number, because the mean of its divisors is an integer number (5723200).

Almost surely, 2101969152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

101969152 is an abundant number, since it is smaller than the sum of its proper divisors (104066048).

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

101969152 is an frugal number, since it uses more digits than its factorization.

101969152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The square root of 101969152 is about 10097.9776193058. The cubic root of 101969152 is about 467.1857661267.

The spelling of 101969152 in words is "one hundred one million, nine hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 664 1328 2656 4799 5312 9598 10624 19196 21248 38392 76784 153568 307136 398317 614272 796634 1228544 1593268 3186536 6373072 12746144 25492288 50984576 101969152