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10103313300 = 2235261754583
BaseRepresentation
bin10010110100011010…
…00101001110010100
3222002010011111022220
421122031011032110
5131142422011200
64350313022340
7505240513623
oct113215051624
928063144286
1010103313300
114315069903
121b5b6b49b0
13c502210c2
146bbb776ba
153e1eb94a0
hex25a345394

10103313300 has 72 divisors (see below), whose sum is σ = 29280167616. Its totient is φ = 2689800960.

The previous prime is 10103313281. The next prime is 10103313301. The reversal of 10103313300 is 331330101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10103313300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103313301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157809 + ... + 212391.

Almost surely, 210103313300 is an apocalyptic number.

10103313300 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 10103313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14640083808).

10103313300 is an abundant number, since it is smaller than the sum of its proper divisors (19176854316).

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

10103313300 is a wasteful number, since it uses less digits than its factorization.

10103313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55217 (or 55210 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10103313300 its reverse (331330101), we get a palindrome (10434643401).

The spelling of 10103313300 in words is "ten billion, one hundred three million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 617 1234 1851 2468 3085 3702 6170 7404 9255 12340 15425 18510 30850 37020 46275 54583 61700 92550 109166 163749 185100 218332 272915 327498 545830 654996 818745 1091660 1364575 1637490 2729150 3274980 4093725 5458300 8187450 16374900 33677711 67355422 101033133 134710844 168388555 202066266 336777110 404132532 505165665 673554220 841942775 1010331330 1683885550 2020662660 2525828325 3367771100 5051656650 10103313300