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13012221000 = 233536916277
BaseRepresentation
bin11000001111001011…
…01011110001001000
31020120211210022112010
430013211223301020
5203122112033000
65551105015520
7640312024242
oct140745536110
936524708463
1013012221000
115578072259
1226319245a0
1312c4a9046c
148b622b092
15512567d50
hex30796bc48

13012221000 has 128 divisors (see below), whose sum is σ = 40663359360. Its totient is φ = 3464352000.

The previous prime is 13012220911. The next prime is 13012221007. The reversal of 13012221000 is 12221031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13012221007) 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, 2069862 + ... + 2076138.

It is an arithmetic number, because the mean of its divisors is an integer number (317682495).

Almost surely, 213012221000 is an apocalyptic number.

13012221000 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 13012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20331679680).

13012221000 is an abundant number, since it is smaller than the sum of its proper divisors (27651138360).

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

13012221000 is a wasteful number, since it uses less digits than its factorization.

13012221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13012221000 its reverse (12221031), we get a palindrome (13024442031).

The spelling of 13012221000 in words is "thirteen billion, twelve million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 691 750 1000 1382 1500 2073 2764 3000 3455 4146 5528 6277 6910 8292 10365 12554 13820 16584 17275 18831 20730 25108 27640 31385 34550 37662 41460 50216 51825 62770 69100 75324 82920 86375 94155 103650 125540 138200 150648 156925 172750 188310 207300 251080 259125 313850 345500 376620 414600 470775 518250 627700 691000 753240 784625 941550 1036500 1255400 1569250 1883100 2073000 2353875 3138500 3766200 4337407 4707750 6277000 8674814 9415500 13012221 17349628 18831000 21687035 26024442 34699256 43374070 52048884 65061105 86748140 104097768 108435175 130122210 173496280 216870350 260244420 325305525 433740700 520488840 542175875 650611050 867481400 1084351750 1301222100 1626527625 2168703500 2602444200 3253055250 4337407000 6506110500 13012221000