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127002005322 = 23471667270163
BaseRepresentation
bin111011001000111101…
…0001100111101001010
3110010210222200100001220
41312101322030331022
54040100003132242
6134202141422510
712114141143043
oct1662172147512
9403728610056
10127002005322
1149952359385
122074486aa36
13bc8ca42c9a
14620b2658ca
153484a68bec
hex1d91e8cf4a

127002005322 has 32 divisors (see below), whose sum is σ = 259564925952. Its totient is φ = 41408270064.

The previous prime is 127002005309. The next prime is 127002005353. The reversal of 127002005322 is 223500200721.

It is a happy number.

It is a super-2 number, since 2×1270020053222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127002005292 and 127002005301.

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, 335013 + ... + 605175.

It is an arithmetic number, because the mean of its divisors is an integer number (8111403936).

Almost surely, 2127002005322 is an apocalyptic number.

127002005322 is an abundant number, since it is smaller than the sum of its proper divisors (132562920630).

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

127002005322 is a wasteful number, since it uses less digits than its factorization.

127002005322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271882.

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 127002005322 in words is "one hundred twenty-seven billion, two million, five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 47 94 141 282 1667 3334 5001 10002 78349 156698 235047 270163 470094 540326 810489 1620978 12697661 25395322 38092983 76185966 450361721 900723442 1351085163 2702170326 21167000887 42334001774 63501002661 127002005322