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101156704 = 25111931489
BaseRepresentation
bin1100000011110…
…00011101100000
321001100021220121
412001320131200
5201344003304
614012050024
72335550335
oct601703540
9231307817
10101156704
1152111590
1229a63914
1317c5a14c
14d61298c
158d32554
hex6078760

101156704 has 48 divisors (see below), whose sum is σ = 218529360. Its totient is φ = 45711360.

The previous prime is 101156677. The next prime is 101156707. The reversal of 101156704 is 407651101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101156707) 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, 67192 + ... + 68680.

It is an arithmetic number, because the mean of its divisors is an integer number (4552695).

Almost surely, 2101156704 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 101156704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109264680).

101156704 is an abundant number, since it is smaller than the sum of its proper divisors (117372656).

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

101156704 is a wasteful number, since it uses less digits than its factorization.

101156704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 101156704 is about 10057.6689148132. The cubic root of 101156704 is about 465.9416751775.

The spelling of 101156704 in words is "one hundred one million, one hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 772 1489 1544 2123 2978 3088 4246 5956 6176 8492 11912 16379 16984 23824 32758 33968 47648 65516 67936 131032 262064 287377 524128 574754 1149508 2299016 3161147 4598032 6322294 9196064 12644588 25289176 50578352 101156704