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54110100131334 = 23313279541138731
BaseRepresentation
bin11000100110110011111010…
…10011000000111000000110
321002120212121220200010211000
430103121331103000320012
524043014441113200314
6311025500431154130
714253216503204622
oct1423317523007006
9232525556603730
1054110100131334
1116271a67970a35
12609aa97075946
1324267396a6b00
14d50d2b154182
1563c7db8e1209
hex31367d4c0e06

54110100131334 has 192 divisors, whose sum is σ = 132098612659200. Its totient is φ = 16408007740800.

The previous prime is 54110100131327. The next prime is 54110100131407. The reversal of 54110100131334 is 43313100101145.

54110100131334 is a `hidden beast` number, since 5 + 411 + 0 + 100 + 13 + 133 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54110100131298 and 54110100131307.

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, 389966749 + ... + 390105479.

It is an arithmetic number, because the mean of its divisors is an integer number (688013607600).

Almost surely, 254110100131334 is an apocalyptic number.

54110100131334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54110100131334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66049306329600).

54110100131334 is an abundant number, since it is smaller than the sum of its proper divisors (77988512527866).

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

54110100131334 is a wasteful number, since it uses less digits than its factorization.

54110100131334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139388 (or 139369 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 54110100131334 its reverse (43313100101145), we get a palindrome (97423200232479).

The spelling of 54110100131334 in words is "fifty-four trillion, one hundred ten billion, one hundred million, one hundred thirty-one thousand, three hundred thirty-four".