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101035044 = 2232112311093
BaseRepresentation
bin1100000010110…
…10110000100100
321001010010000200
412001122300210
5201331110134
614005310500
72334532545
oct601326044
9231103020
10101035044
1152039140
1229a05430
1317c16966
14d5c04cc
158d0b499
hex605ac24

101035044 has 72 divisors (see below), whose sum is σ = 290751552. Its totient is φ = 29282880.

The previous prime is 101035031. The next prime is 101035087. The reversal of 101035044 is 440530101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3562 + ... + 14654.

It is an arithmetic number, because the mean of its divisors is an integer number (4038216).

Almost surely, 2101035044 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 101035044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145375776).

101035044 is an abundant number, since it is smaller than the sum of its proper divisors (189716508).

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

101035044 is a wasteful number, since it uses less digits than its factorization.

101035044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11137 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101035044 is about 10051.6189740758. The cubic root of 101035044 is about 465.7548060179.

Adding to 101035044 its reverse (440530101), we get a palindrome (541565145).

The spelling of 101035044 in words is "one hundred one million, thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 11093 22186 33279 44372 66558 99837 122023 133116 199674 244046 255139 366069 399348 488092 510278 732138 765417 1020556 1098207 1464276 1530834 2196414 2296251 2806529 3061668 4392828 4592502 5613058 8419587 9185004 11226116 16839174 25258761 33678348 50517522 101035044