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103312223233011 = 321347134111400899
BaseRepresentation
bin10111011111011001000000…
…010111011110001111110011
3111112210112220110200101221200
4113133121000113132033303
5102020131413121424021
61003420551413422243
730522030126115602
oct2737310027361763
9445715813611850
10103312223233011
112aa11516742011
12b70672663a983
1345853bac693b0
141b724a4377a39
15be25c483b126
hex5df6405de3f3

103312223233011 has 48 divisors (see below), whose sum is σ = 164139575308800. Its totient is φ = 62219371700160.

The previous prime is 103312223232989. The next prime is 103312223233049. The reversal of 103312223233011 is 110332322213301.

103312223233011 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 12 + 22 + 323 + 301 + 1 = 666.

It is not a de Polignac number, because 103312223233011 - 218 = 103312222970867 is a prime.

It is a super-2 number, since 2×1033122232330112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103312224233011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73046640 + ... + 74447538.

It is an arithmetic number, because the mean of its divisors is an integer number (3419574485600).

Almost surely, 2103312223233011 is an apocalyptic number.

103312223233011 is a deficient number, since it is larger than the sum of its proper divisors (60827352075789).

103312223233011 is a wasteful number, since it uses less digits than its factorization.

103312223233011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414376 (or 1414373 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103312223233011 its reverse (110332322213301), we get a palindrome (213644545446312).

The spelling of 103312223233011 in words is "one hundred three trillion, three hundred twelve billion, two hundred twenty-three million, two hundred thirty-three thousand, eleven".

Divisors: 1 3 9 13 39 47 117 141 423 611 1833 5499 13411 40233 120699 174343 523029 630317 1400899 1569087 1890951 4202697 5672853 8194121 12608091 18211687 24582363 54635061 65842253 73747089 163905183 197526759 592580277 855949289 2567847867 7703543601 18787456489 56362369467 169087108401 244236934357 732710803071 883010454983 2198132409213 2649031364949 7947094094847 11479135914779 34437407744337 103312223233011