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13132321300 = 2252754734297
BaseRepresentation
bin11000011101011111…
…10101001000010100
31020220012210001011101
430032233311020110
5203343333240200
610011035115444
7643300614010
oct141657651024
936805701141
1013132321300
1156299423aa
122665ba2b84
131313920c27
148c8171540
1551cd8d26a
hex30ebf5214

13132321300 has 72 divisors (see below), whose sum is σ = 32628647744. Its totient is φ = 4494147840.

The previous prime is 13132321297. The next prime is 13132321327. The reversal of 13132321300 is 312323131.

13132321300 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 23 ways as a sum of consecutive naturals, for example, 365752 + ... + 400048.

Almost surely, 213132321300 is an apocalyptic number.

13132321300 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 13132321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314323872).

13132321300 is an abundant number, since it is smaller than the sum of its proper divisors (19496326444).

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

13132321300 is a wasteful number, since it uses less digits than its factorization.

13132321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34865 (or 34858 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13132321300 its reverse (312323131), we get a palindrome (13444644431).

The spelling of 13132321300 in words is "thirteen billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 547 700 1094 2188 2735 3829 5470 7658 10940 13675 15316 19145 27350 34297 38290 54700 68594 76580 95725 137188 171485 191450 240079 342970 382900 480158 685940 857425 960316 1200395 1714850 2400790 3429700 4801580 6001975 12003950 18760459 24007900 37520918 75041836 93802295 131323213 187604590 262646426 375209180 469011475 525292852 656616065 938022950 1313232130 1876045900 2626464260 3283080325 6566160650 13132321300