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101561094 = 23317317349
BaseRepresentation
bin1100000110110…
…11001100000110
321002002211122000
412003123030012
5201444423334
614024450130
72342153325
oct603331406
9232084560
10101561094
1152368398
122a019946
131806c22b
14d6ba0bc
158db2299
hex60db306

101561094 has 64 divisors (see below), whose sum is σ = 240408000. Its totient is φ = 31670784.

The previous prime is 101561081. The next prime is 101561101. The reversal of 101561094 is 490165101.

101561094 is a `hidden beast` number, since 10 + 1 + 561 + 0 + 94 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290832 + ... + 291180.

It is an arithmetic number, because the mean of its divisors is an integer number (3756375).

Almost surely, 2101561094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101561094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120204000).

101561094 is an abundant number, since it is smaller than the sum of its proper divisors (138846906).

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

101561094 is a wasteful number, since it uses less digits than its factorization.

101561094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101561094 is about 10077.7524279970. The cubic root of 101561094 is about 466.5617416032.

The spelling of 101561094 in words is "one hundred one million, five hundred sixty-one thousand, ninety-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 317 349 459 634 698 918 951 1047 1902 2094 2853 3141 5389 5706 5933 6282 8559 9423 10778 11866 16167 17118 17799 18846 32334 35598 48501 53397 97002 106794 110633 145503 160191 221266 291006 320382 331899 663798 995697 1880761 1991394 2987091 3761522 5642283 5974182 11284566 16926849 33853698 50780547 101561094