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102221323012332 = 223219240016226673
BaseRepresentation
bin10111001111100001000001…
…101001011000100011101100
3111101221021002202110022201200
4113033201001221120203230
5101344243232142343312
61001223454424005500
730350150451205116
oct2717410151304354
9441837082408650
10102221323012332
112a630901a329a7
12b56b216300890
134506577508634
141b3577765a3b6
15bc4027bc60dc
hex5cf841a588ec

102221323012332 has 72 divisors (see below), whose sum is σ = 272003785413360. Its totient is φ = 32279067648000.

The previous prime is 102221323012327. The next prime is 102221323012363. The reversal of 102221323012332 is 233210323122201.

102221323012332 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 1 + 323 + 0 + 1 + 2 + 332 = 666.

102221323012332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102221323012296 and 102221323012305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13303348 + ... + 19530020.

Almost surely, 2102221323012332 is an apocalyptic number.

102221323012332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221323012332 is an abundant number, since it is smaller than the sum of its proper divisors (169782462401028).

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

102221323012332 is a wasteful number, since it uses less digits than its factorization.

102221323012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250703 (or 6250698 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102221323012332 its reverse (233210323122201), we get a palindrome (335431646134533).

The spelling of 102221323012332 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred twenty-three million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 24001 48002 72003 96004 144006 216009 288012 432018 456019 864036 912038 1368057 1824076 2736114 4104171 5472228 6226673 8208342 12453346 16416684 18680019 24906692 37360038 56040057 74720076 112080114 118306787 224160228 236613574 354920361 473227148 709840722 1064761083 1419681444 2129522166 4259044332 149446378673 298892757346 448339136019 597785514692 896678272038 1345017408057 1793356544076 2690034816114 2839481194787 5380069632228 5678962389574 8518443584361 11357924779148 17036887168722 25555330753083 34073774337444 51110661506166 102221323012332