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13100323130304 = 263975471285943
BaseRepresentation
bin1011111010100010100000…
…0110110100101111000000
31201101101020001011120222020
42332220220012310233000
53204113430210132204
643510112205241440
72521316135213634
oct276505006645700
951341201146866
1013100323130304
1141a08a7978433
121576b1b863280
13740480403b07
143340b7d5adc4
1517ab81e4dbd9
hexbea281b4bc0

13100323130304 has 112 divisors (see below), whose sum is σ = 35082650980608. Its totient is φ = 4313851895808.

The previous prime is 13100323130267. The next prime is 13100323130329. The reversal of 13100323130304 is 40303132300131.

It is a happy number.

It is a super-2 number, since 2×131003231303042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9544357 + ... + 10830299.

It is an arithmetic number, because the mean of its divisors is an integer number (313237955184).

Almost surely, 213100323130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100323130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541325490304).

13100323130304 is an abundant number, since it is smaller than the sum of its proper divisors (21982327850304).

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

13100323130304 is a wasteful number, since it uses less digits than its factorization.

13100323130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286602 (or 1286592 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13100323130304 its reverse (40303132300131), we get a palindrome (53403455430435).

The spelling of 13100323130304 in words is "thirteen trillion, one hundred billion, three hundred twenty-three million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 547 582 776 1094 1164 1552 1641 2188 2328 3104 3282 4376 4656 6208 6564 8752 9312 13128 17504 18624 26256 35008 52512 53059 105024 106118 159177 212236 318354 424472 636708 848944 1273416 1285943 1697888 2546832 2571886 3395776 3857829 5093664 5143772 7715658 10187328 10287544 15431316 20575088 30862632 41150176 61725264 82300352 123450528 124736471 246901056 249472942 374209413 498945884 703410821 748418826 997891768 1406821642 1496837652 1995783536 2110232463 2813643284 2993675304 3991567072 4220464926 5627286568 5987350608 7983134144 8440929852 11254573136 11974701216 16881859704 22509146272 23949402432 33763719408 45018292544 67527438816 68230849637 135054877632 136461699274 204692548911 272923398548 409385097822 545846797096 818770195644 1091693594192 1637540391288 2183387188384 3275080782576 4366774376768 6550161565152 13100323130304