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10128045300 = 22352199169649
BaseRepresentation
bin10010110111010110…
…11011010011110100
3222010211201000020220
421123223123103310
5131220234422200
64352555054340
7505660651602
oct113353332364
928124630226
1010128045300
11432802137a
121b67a413b0
13c553a0319
146c1174872
153e42524a0
hex25badb4f4

10128045300 has 72 divisors (see below), whose sum is σ = 29451240000. Its totient is φ = 2687224320.

The previous prime is 10128045299. The next prime is 10128045373. The reversal of 10128045300 is 354082101.

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, 25125 + ... + 144524.

It is an arithmetic number, because the mean of its divisors is an integer number (409045000).

Almost surely, 210128045300 is an apocalyptic number.

10128045300 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 10128045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725620000).

10128045300 is an abundant number, since it is smaller than the sum of its proper divisors (19323194700).

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

10128045300 is a wasteful number, since it uses less digits than its factorization.

10128045300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169865 (or 169858 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10128045300 in words is "ten billion, one hundred twenty-eight million, forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 398 597 796 995 1194 1990 2388 2985 3980 4975 5970 9950 11940 14925 19900 29850 59700 169649 339298 508947 678596 848245 1017894 1696490 2035788 2544735 3392980 4241225 5089470 8482450 10178940 12723675 16964900 25447350 33760151 50894700 67520302 101280453 135040604 168800755 202560906 337601510 405121812 506402265 675203020 844003775 1012804530 1688007550 2025609060 2532011325 3376015100 5064022650 10128045300