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13133441022 = 23131953271617
BaseRepresentation
bin11000011101101000…
…00110011111111110
31020220021212221010120
430032310012133332
5203344130103042
610011115115410
7643313256342
oct141664063776
936807787116
1013133441022
11562a537699
122666442b66
131313c237a0
148c8383622
1551d00edec
hex30ed067fe

13133441022 has 128 divisors (see below), whose sum is σ = 30499338240. Its totient is φ = 3736212480.

The previous prime is 13133441011. The next prime is 13133441089. The reversal of 13133441022 is 22014433131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13133440983 and 13133441001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21285658 + ... + 21286274.

It is an arithmetic number, because the mean of its divisors is an integer number (238276080).

Almost surely, 213133441022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133441022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249669120).

13133441022 is an abundant number, since it is smaller than the sum of its proper divisors (17365897218).

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

13133441022 is a wasteful number, since it uses less digits than its factorization.

13133441022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13133441022 its reverse (22014433131), we get a palindrome (35147874153).

The spelling of 13133441022 in words is "thirteen billion, one hundred thirty-three million, four hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 53 57 78 106 114 159 247 271 318 494 542 617 689 741 813 1007 1234 1378 1482 1626 1851 2014 2067 3021 3523 3702 4134 5149 6042 7046 8021 10298 10569 11723 13091 14363 15447 16042 21138 23446 24063 26182 28726 30894 32701 35169 39273 43089 48126 65402 66937 70338 78546 86178 98103 133874 152399 167207 186719 196206 200811 272897 304798 334414 373438 401622 425113 457197 501621 545794 560157 621319 818691 850226 914394 1003242 1120314 1242638 1275339 1637382 1863957 2173691 2550678 3176933 3547661 3727914 4347382 6353866 6521073 7095322 8077147 8861971 9530799 10642983 13042146 16154294 17723942 19061598 21285966 24231441 26585913 41300129 48462882 53171826 82600258 115205623 123900387 168377449 230411246 247800774 336754898 345616869 505132347 691233738 1010264694 2188906837 4377813674 6566720511 13133441022