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83130826100 = 225271117106319
BaseRepresentation
bin100110101101011111…
…0111011110101110100
321221120112022112000012
41031122332323311310
52330222442413400
6102104554035352
76002026235330
oct1153276736564
9257515275005
1083130826100
113228a203073
1214140418b58
137aba963b3a
1440488b87c0
1522682a5d35
hex135afbbd74

83130826100 has 72 divisors (see below), whose sum is σ = 206350959360. Its totient is φ = 28476213120.

The previous prime is 83130826099. The next prime is 83130826139. The reversal of 83130826100 is 162803138.

It is a happy number.

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, 728741 + ... + 835059.

Almost surely, 283130826100 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 83130826100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103175479680).

83130826100 is an abundant number, since it is smaller than the sum of its proper divisors (123220133260).

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

83130826100 is a wasteful number, since it uses less digits than its factorization.

83130826100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107457 (or 107450 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 83130826100 in words is "eighty-three billion, one hundred thirty million, eight hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1117 2234 4468 5585 7819 11170 15638 22340 27925 31276 39095 55850 78190 106319 111700 156380 195475 212638 390950 425276 531595 744233 781900 1063190 1488466 2126380 2657975 2976932 3721165 5315950 7442330 10631900 14884660 18605825 37211650 74423300 118758323 237516646 475033292 593791615 831308261 1187583230 1662616522 2375166460 2968958075 3325233044 4156541305 5937916150 8313082610 11875832300 16626165220 20782706525 41565413050 83130826100