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101120432 = 2471924161
BaseRepresentation
bin1100000011011…
…11100110110000
321001021110011012
412001233212300
5201341323212
614011210052
72335336520
oct601574660
9231243135
10101120432
1152097306
1229a46928
1317c4679a
14d603680
158d26922
hex606f9b0

101120432 has 120 divisors (see below), whose sum is σ = 246046752. Its totient is φ = 39398400.

The previous prime is 101120431. The next prime is 101120479. The reversal of 101120432 is 234021101.

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

It is not an unprimeable number, because it can be changed into a prime (101120431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1657682 + ... + 1657742.

Almost surely, 2101120432 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 101120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123023376).

101120432 is an abundant number, since it is smaller than the sum of its proper divisors (144926320).

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

101120432 is a wasteful number, since it uses less digits than its factorization.

101120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101120432 is about 10055.8655520050. The cubic root of 101120432 is about 465.8859772480.

Adding to 101120432 its reverse (234021101), we get a palindrome (335141533).

The spelling of 101120432 in words is "one hundred one million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 41 56 61 76 82 112 122 133 152 164 244 266 287 304 328 361 427 488 532 574 656 722 779 854 976 1064 1148 1159 1444 1558 1708 2128 2296 2318 2501 2527 2888 3116 3416 4592 4636 5002 5054 5453 5776 6232 6832 8113 9272 10004 10108 10906 12464 14801 16226 17507 18544 20008 20216 21812 22021 29602 32452 35014 40016 40432 43624 44042 47519 59204 64904 70028 87248 88084 95038 103607 118408 129808 140056 154147 176168 190076 207214 236816 280112 308294 332633 352336 380152 414428 616588 665266 760304 828856 902861 1233176 1330532 1657712 1805722 2466352 2661064 3611444 5322128 6320027 7222888 12640054 14445776 25280108 50560216 101120432