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103554322412004 = 2232109259310177397
BaseRepresentation
bin10111100010111010011110…
…100110100011000111100100
3111120122200210202222222011200
4113202322132212203013210
5102033113223014141004
61004124110551202500
730545360434151022
oct2742723646430744
9446580722888150
10103554322412004
112aaa5161389522
12b745631076430
1345a21911cc069
141b800ad73b712
15be8a43beb239
hex5e2e9e9a31e4

103554322412004 has 72 divisors (see below), whose sum is σ = 264265705824120. Its totient is φ = 34188234319872.

The previous prime is 103554322411961. The next prime is 103554322412041. The reversal of 103554322412004 is 400214223455301.

It is a happy number.

103554322412004 is a `hidden beast` number, since 1 + 0 + 35 + 543 + 22 + 41 + 20 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5824489906404 + 97729832505600 = 2413398^2 + 9885840^2 .

It is a super-3 number, since 3×1035543224120043 (a number of 43 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103554322412004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5086234 + ... + 15263630.

It is an arithmetic number, because the mean of its divisors is an integer number (3670357025335).

Almost surely, 2103554322412004 is an apocalyptic number.

It is an amenable number.

103554322412004 is an abundant number, since it is smaller than the sum of its proper divisors (160711383412116).

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

103554322412004 is a wasteful number, since it uses less digits than its factorization.

103554322412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180109 (or 10180104 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 103554322412004 its reverse (400214223455301), we get a palindrome (503768545867305).

The spelling of 103554322412004 in words is "one hundred three trillion, five hundred fifty-four billion, three hundred twenty-two million, four hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 2593 3924 5186 7779 10372 15558 23337 31116 46674 93348 282637 565274 847911 1130548 1695822 2543733 3391644 5087466 10174932 10177397 20354794 30532191 40709588 61064382 91596573 122128764 183193146 366386292 1109336273 2218672546 3328008819 4437345092 6656017638 9984026457 13312035276 19968052914 26389990421 39936105828 52779980842 79169971263 105559961684 158339942526 237509913789 316679885052 475019827578 950039655156 2876508955889 5753017911778 8629526867667 11506035823556 17259053735334 25888580603001 34518107470668 51777161206002 103554322412004