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13364601330 = 2351946750207
BaseRepresentation
bin11000111001001011…
…11010000111110010
31021111101212002110110
430130211322013302
5204332314220310
610050053442150
7652121144163
oct143445720762
937441762413
1013364601330
115738a72873
12270b940356
13134ca9ac32
1490ad5776a
15533471d20
hex31c97a1f2

13364601330 has 64 divisors (see below), whose sum is σ = 33836175360. Its totient is φ = 3369023424.

The previous prime is 13364601307. The next prime is 13364601331. The reversal of 13364601330 is 3310646331.

It is a super-2 number, since 2×133646013302 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13364601331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241087 + ... + 291293.

It is an arithmetic number, because the mean of its divisors is an integer number (528690240).

Almost surely, 213364601330 is an apocalyptic number.

13364601330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13364601330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16918087680).

13364601330 is an abundant number, since it is smaller than the sum of its proper divisors (20471574030).

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

13364601330 is a wasteful number, since it uses less digits than its factorization.

13364601330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50703.

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 13364601330 in words is "thirteen billion, three hundred sixty-four million, six hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 467 570 934 1401 2335 2802 4670 7005 8873 14010 17746 26619 44365 50207 53238 88730 100414 133095 150621 251035 266190 301242 502070 753105 953933 1506210 1907866 2861799 4769665 5723598 9539330 14308995 23446669 28617990 46893338 70340007 117233345 140680014 234466690 351700035 445486711 703400070 890973422 1336460133 2227433555 2672920266 4454867110 6682300665 13364601330