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13023331000 = 235338933479
BaseRepresentation
bin11000010000100000…
…00100001010111000
31020121121200202120121
430020100010022320
5203132433043000
65552143103024
7640505326021
oct141020041270
936547622517
1013023331000
115583370379
1226355a1a74
1312c7180324
148b78bdc48
1551350eb1a
hex3084042b8

13023331000 has 64 divisors (see below), whose sum is σ = 30553848000. Its totient is φ = 5195785600.

The previous prime is 13023330967. The next prime is 13023331051. The reversal of 13023331000 is 13332031.

It is a super-2 number, since 2×130233310002 (a number of 21 digits) contains 22 as substring.

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, 372261 + ... + 405739.

It is an arithmetic number, because the mean of its divisors is an integer number (477403875).

Almost surely, 213023331000 is an apocalyptic number.

13023331000 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 13023331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15276924000).

13023331000 is an abundant number, since it is smaller than the sum of its proper divisors (17530517000).

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

13023331000 is a wasteful number, since it uses less digits than its factorization.

13023331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33889 (or 33875 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13023331000 its reverse (13332031), we get a palindrome (13036663031).

The spelling of 13023331000 in words is "thirteen billion, twenty-three million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 389 500 778 1000 1556 1945 3112 3890 7780 9725 15560 19450 33479 38900 48625 66958 77800 97250 133916 167395 194500 267832 334790 389000 669580 836975 1339160 1673950 3347900 4184875 6695800 8369750 13023331 16739500 26046662 33479000 52093324 65116655 104186648 130233310 260466620 325583275 520933240 651166550 1302333100 1627916375 2604666200 3255832750 6511665500 13023331000