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124133323331421 = 323719912971444279
BaseRepresentation
bin11100001110011000001010…
…101001000101011101011101
3121021112000210201211201011100
4130032120022221011131131
5112232300021233101141
61120002021140343313
735101223320622445
oct3416301251053535
9537460721751140
10124133323331421
1136609712964aa8
1211b09a529a4b39
13543595078ab11
142292128da9125
15e53ed50d50b6
hex70e60aa4575d

124133323331421 has 48 divisors (see below), whose sum is σ = 185217933472000. Its totient is φ = 80052470429184.

The previous prime is 124133323331401. The next prime is 124133323331441.

124133323331421 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 3 + 332 + 3 + 3 + 314 + 2 + 1 = 666.

124133323331421 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (124133323331401) and next prime (124133323331441).

It is not a de Polignac number, because 124133323331421 - 237 = 123995884377949 is a prime.

It is a super-2 number, since 2×1241333233314212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124133323331401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85226160 + ... + 86670438.

Almost surely, 2124133323331421 is an apocalyptic number.

It is an amenable number.

124133323331421 is a deficient number, since it is larger than the sum of its proper divisors (61084610140579).

124133323331421 is a wasteful number, since it uses less digits than its factorization.

124133323331421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445818 (or 1445815 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 124133323331421 in words is "one hundred twenty-four trillion, one hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 37 111 199 333 597 1297 1791 3891 7363 11673 22089 47989 66267 143967 258103 431901 774309 1444279 2322927 4332837 9549811 12998511 28649433 53438323 85948299 160314969 287411521 480944907 862234563 1873229863 2586703689 5619689589 10634226277 16859068767 31902678831 69309504931 95708036493 207928514793 372772742737 623785544379 1118318228211 3354954684633 13792591481269 41377774443807 124133323331421