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12444550100 = 2252317575303
BaseRepresentation
bin10111001011100000…
…01100001111010100
31012010021121122102222
423211300030033110
5200441301100400
65414505521512
7620246634113
oct134560141724
935107548388
1012444550100
115306695754
1224b37a3298
1312342a3a18
14860a9bc7a
154cc7d4185
hex2e5c0c3d4

12444550100 has 72 divisors (see below), whose sum is σ = 27917879808. Its totient is φ = 4809974400.

The previous prime is 12444550087. The next prime is 12444550123. The reversal of 12444550100 is 105544421.

It is a self number, because there is not a number n which added to its sum of digits gives 12444550100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2344049 + ... + 2349351.

Almost surely, 212444550100 is an apocalyptic number.

12444550100 is a gapful number since it is divisible by the number (10) 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 12444550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958939904).

12444550100 is an abundant number, since it is smaller than the sum of its proper divisors (15473329708).

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

12444550100 is a wasteful number, since it uses less digits than its factorization.

12444550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 12444550100 in words is "twelve billion, four hundred forty-four million, five hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 757 775 1514 1550 3028 3100 3785 5303 7570 10606 15140 18925 21212 23467 26515 37850 46934 53030 75700 93868 106060 117335 132575 164393 234670 265150 328786 469340 530300 586675 657572 821965 1173350 1643930 2346700 3287860 4014371 4109825 8028742 8219650 16057484 16439300 20071855 40143710 80287420 100359275 124445501 200718550 248891002 401437100 497782004 622227505 1244455010 2488910020 3111137525 6222275050 12444550100