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13121154420 = 223511101196837
BaseRepresentation
bin11000011100001010…
…01110110101110100
31020212102202201002020
430032011032311310
5203333003420140
610005555513140
7643103654343
oct141605166564
936772681066
1013121154420
115623605580
1226622b87b0
1313115111ca
148c68a5b5a
1551bdd46d0
hex30e14ed74

13121154420 has 96 divisors (see below), whose sum is σ = 40476191616. Its totient is φ = 3149376000.

The previous prime is 13121154413. The next prime is 13121154433. The reversal of 13121154420 is 2445112131.

13121154420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31759 + ... + 165078.

It is an arithmetic number, because the mean of its divisors is an integer number (421626996).

Almost surely, 213121154420 is an apocalyptic number.

13121154420 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 13121154420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20238095808).

13121154420 is an abundant number, since it is smaller than the sum of its proper divisors (27355037196).

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

13121154420 is a wasteful number, since it uses less digits than its factorization.

13121154420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196961 (or 196959 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13121154420 its reverse (2445112131), we get a palindrome (15566266551).

The spelling of 13121154420 in words is "thirteen billion, one hundred twenty-one million, one hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 196837 393674 590511 787348 984185 1181022 1968370 2165207 2362044 2952555 3936740 4330414 5905110 6495621 8660828 10826035 11810220 12991242 19880537 21652070 25982484 32478105 39761074 43304140 59641611 64956210 79522148 99402685 119283222 129912420 198805370 218685907 238566444 298208055 397610740 437371814 596416110 656057721 874743628 1093429535 1192832220 1312115442 2186859070 2624230884 3280288605 4373718140 6560577210 13121154420