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13130002300 = 22522919323459
BaseRepresentation
bin11000011101001101…
…11110111101111100
31020220001102020002111
430032212332331330
5203342240033200
610010513303404
7643242115042
oct141646767574
936801366074
1013130002300
1156285a9078
122665264b64
1313132bb53c
148c7b2a392
1551ca810ba
hex30e9bef7c

13130002300 has 72 divisors (see below), whose sum is σ = 29628572400. Its totient is φ = 5044408320.

The previous prime is 13130002273. The next prime is 13130002339. The reversal of 13130002300 is 320003131.

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, 547971 + ... + 571429.

It is an arithmetic number, because the mean of its divisors is an integer number (411507950).

Almost surely, 213130002300 is an apocalyptic number.

13130002300 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 13130002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814286200).

13130002300 is an abundant number, since it is smaller than the sum of its proper divisors (16498570100).

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

13130002300 is a wasteful number, since it uses less digits than its factorization.

13130002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23695 (or 23688 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13130002300 its reverse (320003131), we get a palindrome (13450005431).

The spelling of 13130002300 in words is "thirteen billion, one hundred thirty million, two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 193 290 386 580 725 772 965 1450 1930 2900 3860 4825 5597 9650 11194 19300 22388 23459 27985 46918 55970 93836 111940 117295 139925 234590 279850 469180 559700 586475 680311 1172950 1360622 2345900 2721244 3401555 4527587 6803110 9055174 13606220 17007775 18110348 22637935 34015550 45275870 68031100 90551740 113189675 131300023 226379350 262600046 452758700 525200092 656500115 1313000230 2626000460 3282500575 6565001150 13130002300