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101231312 = 24713251277
BaseRepresentation
bin1100000100010…
…10101011010000
321001111002020212
412002022223100
5201403400222
614013423252
72336311010
oct602125320
9231432225
10101231312
1152162646
1229a9ab28
1317c850b0
14d631c40
158d496e2
hex608aad0

101231312 has 80 divisors (see below), whose sum is σ = 243234432. Its totient is φ = 39744000.

The previous prime is 101231293. The next prime is 101231321. The reversal of 101231312 is 213132101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365318 + ... + 365594.

Almost surely, 2101231312 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 101231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121617216).

101231312 is an abundant number, since it is smaller than the sum of its proper divisors (142003120).

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

101231312 is a wasteful number, since it uses less digits than its factorization.

101231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101231312 is about 10061.3772417100. The cubic root of 101231312 is about 466.0561985923.

Adding to 101231312 its reverse (213132101), we get a palindrome (314363413).

The spelling of 101231312 in words is "one hundred one million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 251 277 364 502 554 728 1004 1108 1456 1757 1939 2008 2216 3263 3514 3601 3878 4016 4432 6526 7028 7202 7756 13052 14056 14404 15512 22841 25207 26104 28112 28808 31024 45682 50414 52208 57616 69527 91364 100828 139054 182728 201656 278108 365456 403312 486689 556216 903851 973378 1112432 1807702 1946756 3615404 3893512 6326957 7230808 7787024 12653914 14461616 25307828 50615656 101231312