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13000101221000 = 235317573739777
BaseRepresentation
bin1011110100101101001001…
…1010100101001010001000
31201000210112101222002101102
42331023102122211022020
53200443201403033000
643352055234040532
72511140425100345
oct275132232451210
951023471862342
1013000101221000
114162348255613
12155b60b719148
13733b9a9388ba
1432d2cb6537cc
151782684cd3d5
hexbd2d26a5288

13000101221000 has 64 divisors (see below), whose sum is σ = 30422009058480. Its totient is φ = 5199737548800.

The previous prime is 13000101220979. The next prime is 13000101221057. The reversal of 13000101221000 is 12210100031.

It can be written as a sum of positive squares in 8 ways, for example, as 76608275524 + 12923492945476 = 276782^2 + 3594926^2 .

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, 17203112 + ... + 17942888.

Almost surely, 213000101221000 is an apocalyptic number.

13000101221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000101221000 is an abundant number, since it is smaller than the sum of its proper divisors (17421907837480).

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

13000101221000 is a wasteful number, since it uses less digits than its factorization.

13000101221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757371 (or 757357 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 13000101221000 its reverse (12210100031), we get a palindrome (13012311321031).

The spelling of 13000101221000 in words is "thirteen trillion, one hundred one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 17573 35146 70292 87865 140584 175730 351460 439325 702920 739777 878650 1479554 1757300 2196625 2959108 3514600 3698885 4393250 5918216 7397770 8786500 14795540 17573000 18494425 29591080 36988850 73977700 92472125 147955400 184944250 369888500 739777000 13000101221 26000202442 52000404884 65000506105 104000809768 130001012210 260002024420 325002530525 520004048840 650005061050 1300010122100 1625012652625 2600020244200 3250025305250 6500050610500 13000101221000