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13023301013312 = 2673131155913649
BaseRepresentation
bin1011110110000011100100…
…1110110000111101000000
31201010000102020110122111112
42331200321032300331000
53201333210024411222
643410453310102452
72512621353060662
oct275407116607500
951100366418445
1013023301013312
1141711729a5997
1215640051aaa28
1373612720b665
1433048c8ac532
15178b75105be2
hexbd8393b0f40

13023301013312 has 112 divisors (see below), whose sum is σ = 26415973584000. Its totient is φ = 6368868679680.

The previous prime is 13023301013311. The next prime is 13023301013321. The reversal of 13023301013312 is 21331010332031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023301013311) 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, 954151064 + ... + 954164712.

It is an arithmetic number, because the mean of its divisors is an integer number (235856907000).

Almost surely, 213023301013312 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 13023301013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207986792000).

13023301013312 is an abundant number, since it is smaller than the sum of its proper divisors (13392672570688).

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

13023301013312 is a wasteful number, since it uses less digits than its factorization.

13023301013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15424 (or 15414 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13023301013312 its reverse (21331010332031), we get a palindrome (34354311345343).

The spelling of 13023301013312 in words is "thirteen trillion, twenty-three billion, three hundred one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 131 146 262 292 524 584 1048 1168 1559 2096 2336 3118 4192 4672 6236 8384 9563 12472 13649 19126 24944 27298 38252 49888 54596 76504 99776 109192 113807 153008 204229 218384 227614 306016 408458 436768 455228 612032 816916 873536 910456 996377 1633832 1788019 1820912 1992754 3267664 3576038 3641824 3985508 6535328 7152076 7283648 7971016 13070656 14304152 14908717 15942032 21278791 28608304 29817434 31884064 42557582 57216608 59634868 63768128 85115164 114433216 119269736 130525387 170230328 238539472 261050774 340460656 477078944 522101548 680921312 954157888 1044203096 1361842624 1553351743 2088406192 2787521621 3106703486 4176812384 5575043242 6213406972 8353624768 11150086484 12426813944 22300172968 24853627888 44600345936 49707255776 89200691872 99414511552 178401383744 203489078333 406978156666 813956313332 1627912626664 3255825253328 6511650506656 13023301013312