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133420415310 = 232571389183041
BaseRepresentation
bin111110001000001111…
…0011111100101001110
3110202101022001100100100
41330100132133211032
54141221111242220
6141143102311530
712432165550440
oct1742036374516
9422338040310
10133420415310
1151646389846
1221a362885a6
13c7736c7b10
14665986c490
15370d29ed90
hex1f1079f94e

133420415310 has 192 divisors, whose sum is σ = 431744826240. Its totient is φ = 27833794560.

The previous prime is 133420415287. The next prime is 133420415369. The reversal of 133420415310 is 13514024331.

It is a happy number.

133420415310 is a `hidden beast` number, since 1 + 3 + 342 + 0 + 4 + 1 + 5 + 310 = 666.

It is a super-2 number, since 2×1334204153102 (a number of 23 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 95 ways as a sum of consecutive naturals, for example, 637390 + ... + 820430.

It is an arithmetic number, because the mean of its divisors is an integer number (2248670970).

Almost surely, 2133420415310 is an apocalyptic number.

133420415310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133420415310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215872413120).

133420415310 is an abundant number, since it is smaller than the sum of its proper divisors (298324410930).

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

133420415310 is a wasteful number, since it uses less digits than its factorization.

133420415310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183163 (or 183160 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 133420415310 its reverse (13514024331), we get a palindrome (146934439641).

The spelling of 133420415310 in words is "one hundred thirty-three billion, four hundred twenty million, four hundred fifteen thousand, three hundred ten".