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102203323221213 = 32137549491508489
BaseRepresentation
bin10111001111010000010000…
…110001101000010011011101
3111101212112122022200012020100
4113033100100301220103131
5101343444401221034323
61001211320350011313
730345642424413024
oct2717202061502335
9441775568605210
10102203323221213
112a624205583475
12b5678321a6b39
13450496934c166
141b3494ac858bb
15bc382285e943
hex5cf410c684dd

102203323221213 has 24 divisors (see below), whose sum is σ = 148707396747000. Its totient is φ = 67636933277184.

The previous prime is 102203323221053. The next prime is 102203323221269. The reversal of 102203323221213 is 312122323302201.

102203323221213 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 332 + 322 + 1 + 2 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24826098969 + 102178497122244 = 157563^2 + 10108338^2 .

It is not a de Polignac number, because 102203323221213 - 218 = 102203322959069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203323221613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66997873 + ... + 68506361.

It is an arithmetic number, because the mean of its divisors is an integer number (6196141531125).

Almost surely, 2102203323221213 is an apocalyptic number.

It is an amenable number.

102203323221213 is a deficient number, since it is larger than the sum of its proper divisors (46504073525787).

102203323221213 is a wasteful number, since it uses less digits than its factorization.

102203323221213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563581 (or 1563578 counting only the distinct ones).

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

Adding to 102203323221213 its reverse (312122323302201), we get a palindrome (414325646523414).

The spelling of 102203323221213 in words is "one hundred two trillion, two hundred three billion, three hundred twenty-three million, two hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 137 411 1233 54949 164847 494541 1508489 4525467 7528013 13576401 22584039 67752117 206662993 619988979 1859966937 82889962061 248669886183 746009658549 11355924802357 34067774407071 102203323221213