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10001122032 = 24311171114207
BaseRepresentation
bin10010101000001110…
…10000001011110000
3221210222212122021010
421110013100023300
5130440241401112
64332222430520
7502560064116
oct112407201360
927728778233
1010001122032
114272411010
121b31432440
13c34cc10b5
146ac375ab6
153d803063c
hex2541d02f0

10001122032 has 80 divisors (see below), whose sum is σ = 29842947072. Its totient is φ = 2852367360.

The previous prime is 10001122031. The next prime is 10001122069. The reversal of 10001122032 is 23022110001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10001121999 and 10001122017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001122031) 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 15 ways as a sum of consecutive naturals, for example, 548128 + ... + 566079.

Almost surely, 210001122032 is an apocalyptic number.

10001122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001122032 is an abundant number, since it is smaller than the sum of its proper divisors (19841825040).

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

10001122032 is a wasteful number, since it uses less digits than its factorization.

10001122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114246 (or 1114240 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10001122032 its reverse (23022110001), we get a palindrome (33023232033).

The spelling of 10001122032 in words is "ten billion, one million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 1114207 2228414 3342621 4456828 6685242 8913656 12256277 13370484 17827312 18941519 24512554 26740968 36768831 37883038 49025108 53481936 56824557 73537662 75766076 98050216 113649114 147075324 151532152 196100432 208356709 227298228 294150648 303064304 416713418 454596456 588301296 625070127 833426836 909192912 1250140254 1666853672 2500280508 3333707344 5000561016 10001122032