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1123413412104 = 233411511506223
BaseRepresentation
bin10000010110010000101…
…010000100100100001000
310222101201121112100010000
4100112100222010210020
5121401222313141404
62220031120123000
7144110142306144
oct20262052044410
93871647470100
101123413412104
113a3489647055
12161884a66460
1381c256c3689
143c532c4c224
151e351223339
hex10590a84908

1123413412104 has 80 divisors (see below), whose sum is σ = 3149333637120. Its totient is φ = 374145544800.

The previous prime is 1123413412103. The next prime is 1123413412157. The reversal of 1123413412104 is 4012143143211.

It is a happy number.

1123413412104 is a `hidden beast` number, since 1 + 1 + 234 + 1 + 3 + 412 + 10 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1123413412103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7264 + ... + 1498959.

It is an arithmetic number, because the mean of its divisors is an integer number (39366670464).

Almost surely, 21123413412104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123413412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574666818560).

1123413412104 is an abundant number, since it is smaller than the sum of its proper divisors (2025920225016).

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

1123413412104 is a wasteful number, since it uses less digits than its factorization.

1123413412104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507392 (or 1507379 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1123413412104 its reverse (4012143143211), we get a palindrome (5135556555315).

The spelling of 1123413412104 in words is "one trillion, one hundred twenty-three billion, four hundred thirteen million, four hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1151 2302 3453 4604 6906 9208 10359 13812 20718 27624 31077 41436 62154 82872 93231 124308 186462 248616 372924 745848 1506223 3012446 4518669 6024892 9037338 12049784 13556007 18074676 27112014 36149352 40668021 54224028 81336042 108448056 122004063 162672084 244008126 325344168 488016252 976032504 1733662673 3467325346 5200988019 6934650692 10401976038 13869301384 15602964057 20803952076 31205928114 41607904152 46808892171 62411856228 93617784342 124823712456 140426676513 187235568684 280853353026 374471137368 561706706052 1123413412104