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102222234324 = 223271921123667
BaseRepresentation
bin101111100110011101…
…0111000001011010100
3100202212001011112122200
41133030322320023110
53133322342444244
6114543225124500
710246106440530
oct1371472701324
9322761145580
10102222234324
113a3968716a1
121798a029730
1398410274b2
144d3a248bc0
1529d4399669
hex17cceb82d4

102222234324 has 108 divisors (see below), whose sum is σ = 311669545824. Its totient is φ = 27669151584.

The previous prime is 102222234277. The next prime is 102222234371. The reversal of 102222234324 is 423432222201.

102222234324 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 223 + 432 + 4 = 666.

102222234324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102222234277) and next prime (102222234371).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470862 + ... + 652805.

It is an arithmetic number, because the mean of its divisors is an integer number (2885829128).

Almost surely, 2102222234324 is an apocalyptic number.

102222234324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102222234324 is an abundant number, since it is smaller than the sum of its proper divisors (209447311500).

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

102222234324 is a wasteful number, since it uses less digits than its factorization.

102222234324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123722 (or 1123698 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 102222234324 its reverse (423432222201), we get a palindrome (525654456525).

The spelling of 102222234324 in words is "one hundred two billion, two hundred twenty-two million, two hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 361 399 532 684 722 798 1083 1197 1444 1596 2166 2394 2527 3249 4332 4788 5054 6498 7581 10108 12996 15162 22743 30324 45486 90972 1123667 2247334 3371001 4494668 6742002 7865669 10113003 13484004 15731338 20226006 21349673 23597007 31462676 40452012 42699346 47194014 64049019 70791021 85398692 94388028 128098038 141582042 149447711 192147057 256196076 283164084 298895422 384294114 405643787 448343133 597790844 768588228 811287574 896686266 1216931361 1345029399 1622575148 1793372532 2433862722 2690058798 2839506509 3650794083 4867725444 5380117596 5679013018 7301588166 8518519527 11358026036 14603176332 17037039054 25555558581 34074078108 51111117162 102222234324