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102132322322 = 21729157659761
BaseRepresentation
bin101111100011110001…
…1111001000000010010
3100202121202222112120112
41133013203321000102
53133131333303242
6114530254041322
710243635262442
oct1370743710022
9322552875515
10102132322322
113a350040458
1217963aa9242
139828506624
144d2c322122
1529cb538c82
hex17c78f9012

102132322322 has 32 divisors (see below), whose sum is σ = 168872681520. Its totient is φ = 46109306880.

The previous prime is 102132322309. The next prime is 102132322337. The reversal of 102132322322 is 223223231201.

It can be written as a sum of positive squares in 8 ways, for example, as 30303498241 + 71828824081 = 174079^2 + 268009^2 .

It is a super-3 number, since 3×1021323223223 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175079 + ... + 484682.

Almost surely, 2102132322322 is an apocalyptic number.

102132322322 is a deficient number, since it is larger than the sum of its proper divisors (66740359198).

102132322322 is a wasteful number, since it uses less digits than its factorization.

102132322322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659966.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 102132322322 its reverse (223223231201), we get a palindrome (325355553523).

The spelling of 102132322322 in words is "one hundred two billion, one hundred thirty-two million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 17 29 34 58 157 314 493 986 2669 4553 5338 9106 77401 154802 659761 1319522 11215937 19133069 22431874 38266138 103582477 207164954 325262173 650524346 1760902109 3003891833 3521804218 6007783666 51066161161 102132322322