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101130432 = 26313311307
BaseRepresentation
bin1100000011100…
…10000011000000
321001021221212120
412001302003000
5201342133212
614011324240
72335410624
oct601620300
9231257776
10101130432
11520a3877
1229a50680
1317c4b1c0
14d607184
158d2988c
hex60720c0

101130432 has 112 divisors (see below), whose sum is σ = 297679872. Its totient is φ = 30090240.

The previous prime is 101130431. The next prime is 101130439. The reversal of 101130432 is 234031101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76723 + ... + 78029.

It is an arithmetic number, because the mean of its divisors is an integer number (2657856).

Almost surely, 2101130432 is an apocalyptic number.

101130432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148839936).

101130432 is an abundant number, since it is smaller than the sum of its proper divisors (196549440).

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

101130432 is a wasteful number, since it uses less digits than its factorization.

101130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101130432 is about 10056.3627619533. The cubic root of 101130432 is about 465.9013342045.

Adding to 101130432 its reverse (234031101), we get a palindrome (335161533).

The spelling of 101130432 in words is "one hundred one million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1307 1488 1612 1984 2418 2496 2614 2976 3224 3921 4836 5228 5952 6448 7842 9672 10456 12896 15684 16991 19344 20912 25792 31368 33982 38688 40517 41824 50973 62736 67964 77376 81034 83648 101946 121551 125472 135928 162068 203892 243102 250944 271856 324136 407784 486204 526721 543712 648272 815568 972408 1053442 1087424 1296544 1580163 1631136 1944816 2106884 2593088 3160326 3262272 3889632 4213768 6320652 7779264 8427536 12641304 16855072 25282608 33710144 50565216 101130432