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10101700950 = 23521141149323
BaseRepresentation
bin10010110100001101…
…11011100101010110
3222002000010120121020
421122012323211112
5131142013412300
64350214302010
7505221020115
oct113206734526
928060116536
1010101700950
114314168490
121b5b057906
13c4caa8253
146bb877c7c
153e1c9b8a0
hex25a1bb956

10101700950 has 96 divisors (see below), whose sum is σ = 27996458112. Its totient is φ = 2389152000.

The previous prime is 10101700897. The next prime is 10101700967. The reversal of 10101700950 is 5900710101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101700950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7012 + ... + 142311.

It is an arithmetic number, because the mean of its divisors is an integer number (291629772).

Almost surely, 210101700950 is an apocalyptic number.

10101700950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101700950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998229056).

10101700950 is an abundant number, since it is smaller than the sum of its proper divisors (17894757162).

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

10101700950 is a wasteful number, since it uses less digits than its factorization.

10101700950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149390 (or 149385 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 24.

The spelling of 10101700950 in words is "ten billion, one hundred one million, seven hundred thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 41 50 55 66 75 82 110 123 150 165 205 246 275 330 410 451 550 615 825 902 1025 1230 1353 1650 2050 2255 2706 3075 4510 6150 6765 11275 13530 22550 33825 67650 149323 298646 447969 746615 895938 1493230 1642553 2239845 3285106 3733075 4479690 4927659 6122243 7466150 8212765 9855318 11199225 12244486 16425530 18366729 22398450 24638295 30611215 36733458 41063825 49276590 61222430 67344673 82127650 91833645 123191475 134689346 153056075 183667290 202034019 246382950 306112150 336723365 404068038 459168225 673446730 918336450 1010170095 1683616825 2020340190 3367233650 5050850475 10101700950