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103322212331031 = 33173719429313133
BaseRepresentation
bin10111011111100010010011…
…110000110110111000010111
3111112211111200121221011101000
4113133202103300312320113
5102020312342324043111
61003425322530434343
730522532512053421
oct2737422360667027
9445744617834330
10103322212331031
112aa15782290221
12b708653a329b3
13458632060a595
141b72b70c9d811
15be29ab793c56
hex5df893c36e17

103322212331031 has 64 divisors (see below), whose sum is σ = 166463537443200. Its totient is φ = 63074023446528.

The previous prime is 103322212330973. The next prime is 103322212331047. The reversal of 103322212331031 is 130133212223301.

103322212331031 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 222 + 123 + 310 + 3 + 1 = 666.

It is not a de Polignac number, because 103322212331031 - 229 = 103321675460119 is a prime.

It is a super-2 number, since 2×1033222123310312 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103322212330986 and 103322212331004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103322212331131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329806141 + ... + 330119273.

It is an arithmetic number, because the mean of its divisors is an integer number (2600992772550).

Almost surely, 2103322212331031 is an apocalyptic number.

103322212331031 is a deficient number, since it is larger than the sum of its proper divisors (63141325112169).

103322212331031 is a wasteful number, since it uses less digits than its factorization.

103322212331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332625 (or 332619 counting only the distinct ones).

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

Adding to 103322212331031 its reverse (130133212223301), we get a palindrome (233455424554332).

The spelling of 103322212331031 in words is "one hundred three trillion, three hundred twenty-two billion, two hundred twelve million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 17 27 37 51 111 153 333 459 629 999 1887 5661 16983 19429 58287 174861 313133 330293 524583 718873 939399 990879 2156619 2818197 2972637 5323261 6469857 8454591 8917911 11585921 12220841 15969783 19409571 34757763 36662523 47909349 104273289 109987569 143728047 196960657 312819867 329962707 590881971 1772645913 5317937739 6083861057 18251583171 54754749513 103425637969 164264248539 225102859109 310276913907 675308577327 930830741721 2025925731981 2792492225163 3826748604853 6077777195943 11480245814559 34440737443677 103322212331031