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13113556320 = 2535269101561
BaseRepresentation
bin11000011011010000…
…01111110101100000
31020211220110200110010
430031220033311200
5203324032300240
610005125004520
7642652250424
oct141550176540
936756420403
1013113556320
11561a295a57
12265b853740
13130ca809a7
148c5888b84
1551b3d3280
hex30da0fd60

13113556320 has 96 divisors (see below), whose sum is σ = 41461670880. Its totient is φ = 3483914240.

The previous prime is 13113556319. The next prime is 13113556321. The reversal of 13113556320 is 2365531131.

It is an interprime number because it is at equal distance from previous prime (13113556319) and next prime (13113556321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113556321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78340 + ... + 179900.

It is an arithmetic number, because the mean of its divisors is an integer number (431892405).

Almost surely, 213113556320 is an apocalyptic number.

13113556320 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 13113556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20730835440).

13113556320 is an abundant number, since it is smaller than the sum of its proper divisors (28348114560).

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

13113556320 is a wasteful number, since it uses less digits than its factorization.

13113556320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101848 (or 101840 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 13113556320 in words is "thirteen billion, one hundred thirteen million, five hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 269 480 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 8608 10760 12912 16140 21520 25824 32280 43040 64560 101561 129120 203122 304683 406244 507805 609366 812488 1015610 1218732 1523415 1624976 2031220 2437464 3046830 3249952 4062440 4874928 6093660 8124880 9749856 12187320 16249760 24374640 27319909 48749280 54639818 81959727 109279636 136599545 163919454 218559272 273199090 327838908 409798635 437118544 546398180 655677816 819597270 874237088 1092796360 1311355632 1639194540 2185592720 2622711264 3278389080 4371185440 6556778160 13113556320