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101034332 = 227173141167
BaseRepresentation
bin1100000010110…
…10100101011100
321001010002001022
412001122211130
5201331044312
614005303312
72334530510
oct601324534
9231102038
10101034332
1152038653
1229a04b38
1317c16539
14d5c0140
158d0b172
hex605a95c

101034332 has 96 divisors (see below), whose sum is σ = 227598336. Its totient is φ = 38246400.

The previous prime is 101034293. The next prime is 101034341. The reversal of 101034332 is 233430101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101034332.

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, 604913 + ... + 605079.

It is an arithmetic number, because the mean of its divisors is an integer number (2370816).

Almost surely, 2101034332 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 101034332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

101034332 is an abundant number, since it is smaller than the sum of its proper divisors (126564004).

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

101034332 is a wasteful number, since it uses less digits than its factorization.

101034332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 101034332 is about 10051.5835568332. The cubic root of 101034332 is about 465.7537119480.

Adding to 101034332 its reverse (233430101), we get a palindrome (334464433).

The spelling of 101034332 in words is "one hundred one million, thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 31 34 41 62 68 82 119 124 164 167 217 238 287 334 434 476 527 574 668 697 868 1054 1148 1169 1271 1394 2108 2338 2542 2788 2839 3689 4676 4879 5084 5177 5678 6847 7378 8897 9758 10354 11356 13694 14756 17794 19516 19873 20708 21607 27388 35588 36239 39746 43214 47929 72478 79492 86428 88009 95858 116399 144956 151249 176018 191716 212257 232798 302498 352036 424514 465596 604996 616063 814793 849028 1232126 1485799 1629586 2464252 2971598 3259172 3608369 5943196 7216738 14433476 25258583 50517166 101034332