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248023282100 = 225211376159951
BaseRepresentation
bin1110011011111101010…
…1101111000110110100
3212201012011120011221012
43212333111233012310
513030422430011400
6305535035411352
723630151053546
oct3467725570664
9781164504835
10248023282100
11962057498a0
124009a5b3b58
131a5086a6b29
14c00c097696
1566b9504d35
hex39bf56f1b4

248023282100 has 72 divisors (see below), whose sum is σ = 587304660096. Its totient is φ = 90164800000.

The previous prime is 248023282099. The next prime is 248023282121. The reversal of 248023282100 is 1282320842.

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, 4107125 + ... + 4167075.

It is an arithmetic number, because the mean of its divisors is an integer number (8157009168).

Almost surely, 2248023282100 is an apocalyptic number.

248023282100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248023282100 is an abundant number, since it is smaller than the sum of its proper divisors (339281377996).

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

248023282100 is a wasteful number, since it uses less digits than its factorization.

248023282100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63737 (or 63730 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 248023282100 in words is "two hundred forty-eight billion, twenty-three million, two hundred eighty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 3761 7522 15044 18805 37610 41371 59951 75220 82742 94025 119902 165484 188050 206855 239804 299755 376100 413710 599510 659461 827420 1034275 1199020 1318922 1498775 2068550 2637844 2997550 3297305 4137100 5995100 6594610 13189220 16486525 32973050 65946100 225475711 450951422 901902844 1127378555 2254757110 2480232821 4509514220 4960465642 5636892775 9920931284 11273785550 12401164105 22547571100 24802328210 49604656420 62005820525 124011641050 248023282100