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13100034486240 = 25325132972692063
BaseRepresentation
bin1011111010100001011011…
…1001101110111111100000
31201101100110221000221202100
42332220112321232333200
53204112332312024430
643510023414450400
72521306031612022
oct276502671567740
951340427027670
1013100034486240
1141a0769a4a919
121576a5b063a00
13740435680b00
1433408b8a2012
1517ab66934960
hexbea16e6efe0

13100034486240 has 864 divisors, whose sum is σ = 49111791281280. Its totient is φ = 3177975250944.

The previous prime is 13100034486199. The next prime is 13100034486269. The reversal of 13100034486240 is 4268443000131.

13100034486240 is a `hidden beast` number, since 1 + 3 + 100 + 0 + 34 + 486 + 2 + 40 = 666.

It is a super-2 number, since 2×131000344862402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13100034486195 and 13100034486204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6349991449 + ... + 6349993511.

It is an arithmetic number, because the mean of its divisors is an integer number (56842351020).

Almost surely, 213100034486240 is an apocalyptic number.

13100034486240 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 13100034486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555895640640).

13100034486240 is an abundant number, since it is smaller than the sum of its proper divisors (36011756795040).

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

13100034486240 is a wasteful number, since it uses less digits than its factorization.

13100034486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 13100034486240 its reverse (4268443000131), we get a palindrome (17368477486371).

The spelling of 13100034486240 in words is "thirteen trillion, one hundred billion, thirty-four million, four hundred eighty-six thousand, two hundred forty".