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10203032112 = 24371314591601
BaseRepresentation
bin10011000000010010…
…11110101000110000
3222100001210201211020
421200021132220300
5131343434011422
64404234215440
7510561225210
oct114011365060
928301721736
1010203032112
114366389049
121b88b84580
13c67a96910
146cb0d4240
153eab1595c
hex26025ea30

10203032112 has 160 divisors (see below), whose sum is σ = 32482920960. Its totient is φ = 2687385600.

The previous prime is 10203032029. The next prime is 10203032123. The reversal of 10203032112 is 21123030201.

It is a junction number, because it is equal to n+sod(n) for n = 10203032091 and 10203032100.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6372112 + ... + 6373712.

It is an arithmetic number, because the mean of its divisors is an integer number (203018256).

Almost surely, 210203032112 is an apocalyptic number.

10203032112 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 10203032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241460480).

10203032112 is an abundant number, since it is smaller than the sum of its proper divisors (22279888848).

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

10203032112 is a wasteful number, since it uses less digits than its factorization.

10203032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3085 counting only the distinct ones).

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

Adding to 10203032112 its reverse (21123030201), we get a palindrome (31326062313).

The spelling of 10203032112 in words is "ten billion, two hundred three million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 1459 1601 2184 2918 3202 4368 4377 4803 5836 6404 8754 9606 10213 11207 11672 12808 17508 18967 19212 20426 20813 22414 23344 25616 30639 33621 35016 37934 38424 40852 41626 44828 56901 61278 62439 67242 70032 75868 76848 81704 83252 89656 113802 122556 124878 132769 134484 145691 151736 163408 166504 179312 227604 245112 249756 265538 268968 291382 303472 333008 398307 437073 455208 490224 499512 531076 537936 582764 796614 874146 910416 999024 1062152 1165528 1593228 1748292 2124304 2331056 2335859 3186456 3496584 4671718 6372912 6993168 7007577 9343436 14015154 16351013 18686872 28030308 30366167 32702026 37373744 49053039 56060616 60732334 65404052 91098501 98106078 112121232 121464668 130808104 182197002 196212156 212563169 242929336 261616208 364394004 392424312 425126338 485858672 637689507 728788008 784848624 850252676 1275379014 1457576016 1700505352 2550758028 3401010704 5101516056 10203032112