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13300023312 = 2433711992179
BaseRepresentation
bin11000110001011111…
…00100000000010000
31021022220100012002000
430120233210000100
5204214301221222
610035425354000
7650405222112
oct143057440020
937286305060
1013300023312
115705575404
1226b2198900
13133c5aa2a4
149025473b2
1552c9679ac
hex318be4010

13300023312 has 160 divisors (see below), whose sum is σ = 38926080000. Its totient is φ = 4346939520.

The previous prime is 13300023277. The next prime is 13300023323. The reversal of 13300023312 is 21332000331.

13300023312 is a `hidden beast` number, since 1 + 330 + 0 + 0 + 2 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6102639 + ... + 6104817.

It is an arithmetic number, because the mean of its divisors is an integer number (243288000).

Almost surely, 213300023312 is an apocalyptic number.

13300023312 is a gapful number since it is divisible by the number (12) 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 13300023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19463040000).

13300023312 is an abundant number, since it is smaller than the sum of its proper divisors (25626056688).

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

13300023312 is a wasteful number, since it uses less digits than its factorization.

13300023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13300023312 its reverse (21332000331), we get a palindrome (34632023643).

The spelling of 13300023312 in words is "thirteen billion, three hundred million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 199 213 216 284 398 426 432 568 597 639 796 852 1136 1194 1278 1592 1704 1791 1917 2179 2388 2556 3184 3408 3582 3834 4358 4776 5112 5373 6537 7164 7668 8716 9552 10224 10746 13074 14129 14328 15336 17432 19611 21492 26148 28258 28656 30672 34864 39222 42387 42984 52296 56516 58833 78444 84774 85968 104592 113032 117666 127161 154709 156888 169548 226064 235332 254322 309418 313776 339096 381483 433621 464127 470664 508644 618836 678192 762966 867242 928254 941328 1017288 1237672 1300863 1392381 1525932 1734484 1856508 2034576 2475344 2601726 2784762 3051864 3468968 3713016 3902589 4177143 5203452 5569524 6103728 6937936 7426032 7805178 8354286 10406904 11139048 11707767 15610356 16708572 20813808 22278096 23415534 30787091 31220712 33417144 46831068 61574182 62441424 66834288 92361273 93662136 123148364 184722546 187324272 246296728 277083819 369445092 492593456 554167638 738890184 831251457 1108335276 1477780368 1662502914 2216670552 3325005828 4433341104 6650011656 13300023312