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131210221311440 = 2453179281110453
BaseRepresentation
bin11101110101010111000010…
…101000011101010111010000
3122012120120111220220211002122
4131311113002220131113100
5114144222013123431230
61143021051000433412
736431424413134355
oct3565270250352720
9565516456824078
10131210221311440
1138897a40317947
1212871505778868
13582a0bc66696b
142458873db862c
15102812b7aabe5
hex7755c2a1d5d0

131210221311440 has 240 divisors, whose sum is σ = 319364940335616. Its totient is φ = 50081502182400.

The previous prime is 131210221311427. The next prime is 131210221311469. The reversal of 131210221311440 is 44113122012131.

It is a happy number.

It is a super-2 number, since 2×1312102213114402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12552393254 + ... + 12552403706.

Almost surely, 2131210221311440 is an apocalyptic number.

131210221311440 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 131210221311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159682470167808).

131210221311440 is an abundant number, since it is smaller than the sum of its proper divisors (188154719024176).

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

131210221311440 is a wasteful number, since it uses less digits than its factorization.

131210221311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11466 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 131210221311440 its reverse (44113122012131), we get a palindrome (175323343323571).

The spelling of 131210221311440 in words is "one hundred thirty-one trillion, two hundred ten billion, two hundred twenty-one million, three hundred eleven thousand, four hundred forty".