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122232210093 = 32747914932713
BaseRepresentation
bin111000111010110011…
…0111000001010101101
3102200111120110122002100
41301311212320022231
54000312421210333
6132052552245313
711555012433360
oct1616546701255
9380446418070
10122232210093
1147924994654
121b8333a0839
13b6ac7b5946
145cb79aa0d7
1532a5e36213
hex1c759b82ad

122232210093 has 48 divisors (see below), whose sum is σ = 202411422720. Its totient is φ = 69628799232.

The previous prime is 122232210083. The next prime is 122232210127. The reversal of 122232210093 is 390012232221.

It is not a de Polignac number, because 122232210093 - 224 = 122215432877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122232210043) 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, 45052905 + ... + 45055617.

It is an arithmetic number, because the mean of its divisors is an integer number (4216904640).

Almost surely, 2122232210093 is an apocalyptic number.

It is an amenable number.

122232210093 is a deficient number, since it is larger than the sum of its proper divisors (80179212627).

122232210093 is a wasteful number, since it uses less digits than its factorization.

122232210093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 122232210093 in words is "one hundred twenty-two billion, two hundred thirty-two million, two hundred ten thousand, ninety-three".

Divisors: 1 3 7 9 21 63 479 1437 1493 2713 3353 4311 4479 8139 10059 10451 13437 18991 24417 30177 31353 56973 94059 170919 715147 1299527 2145441 3898581 4050509 5006029 6436323 9096689 11695743 12151527 15018087 27290067 28353563 36454581 45054261 81870201 85060689 255182067 1940193811 5820581433 13581356677 17461744299 40744070031 122232210093