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101231104 = 291367227
BaseRepresentation
bin1100000100010…
…10101000000000
321001111001222011
412002022220000
5201403343404
614013422304
72336310262
oct602125000
9231431864
10101231104
1152162477
1229a9a994
1317c84c80
14d631b32
158d49604
hex608aa00

101231104 has 80 divisors (see below), whose sum is σ = 222048288. Its totient is φ = 45821952.

The previous prime is 101231099. The next prime is 101231111. The reversal of 101231104 is 401132101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445839 + ... + 446065.

Almost surely, 2101231104 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 101231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111024144).

101231104 is an abundant number, since it is smaller than the sum of its proper divisors (120817184).

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

101231104 is an equidigital number, since it uses as much as digits as its factorization.

101231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101231104 is about 10061.3669051476. The cubic root of 101231104 is about 466.0558793902.

Adding to 101231104 its reverse (401132101), we get a palindrome (502363205).

The spelling of 101231104 in words is "one hundred one million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 208 227 256 268 416 454 512 536 832 871 908 1072 1664 1742 1816 2144 2951 3328 3484 3632 4288 5902 6656 6968 7264 8576 11804 13936 14528 15209 17152 23608 27872 29056 30418 34304 47216 55744 58112 60836 94432 111488 116224 121672 188864 197717 222976 243344 377728 395434 445952 486688 755456 790868 973376 1510912 1581736 1946752 3163472 3893504 6326944 7787008 12653888 25307776 50615552 101231104