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1120410414123 = 371113467798923
BaseRepresentation
bin10000010011011101101…
…010100010110000101011
310222002222022212020022120
4100103131222202300223
5121324100031222443
62214413123322323
7143642546246040
oct20233552426053
93862868766276
101120410414123
113a2188519240
121611872203a3
13818674cc6b0
143c32a0a51c7
151e22778b083
hex104ddaa2c2b

1120410414123 has 64 divisors (see below), whose sum is σ = 2010067218432. Its totient is φ = 536108618880.

The previous prime is 1120410414077. The next prime is 1120410414127. The reversal of 1120410414123 is 3214140140211.

It is a happy number.

It is not a de Polignac number, because 1120410414123 - 214 = 1120410397739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1120410414093 and 1120410414102.

It is not an unprimeable number, because it can be changed into a prime (1120410414127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002940 + ... + 1801862.

It is an arithmetic number, because the mean of its divisors is an integer number (31407300288).

Almost surely, 21120410414123 is an apocalyptic number.

1120410414123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1120410414123 is a deficient number, since it is larger than the sum of its proper divisors (889656804309).

1120410414123 is a wasteful number, since it uses less digits than its factorization.

1120410414123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799424.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1120410414123 its reverse (3214140140211), we get a palindrome (4334550554334).

The spelling of 1120410414123 in words is "one trillion, one hundred twenty billion, four hundred ten million, four hundred fourteen thousand, one hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 467 1001 1401 3003 3269 5137 6071 9807 15411 18213 35959 42497 66781 107877 127491 200343 467467 798923 1402401 2396769 5592461 8788153 10385999 16777383 26364459 31157997 61517071 72701993 114245989 184551213 218105979 342737967 373097041 799721923 1119291123 2399165769 2611679287 4104067451 4850261533 7835037861 12312202353 14550784599 28728472157 33951830731 53352876863 86185416471 101855492193 160058630589 373470138041 1120410414123