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930222311101 = 9712277781129
BaseRepresentation
bin11011000100101011001…
…00100000011010111101
310021221001210101120002221
431202111210200122331
5110220043402423401
61551201020245341
7124130530116466
oct15422544403275
93257053346087
10930222311101
11329561275506
121303496a0851
1369947c1a825
143304717dd6d
15192e591a7a1
hexd8959206bd

930222311101 has 8 divisors (see below), whose sum is σ = 939889985720. Its totient is φ = 920556223488.

The previous prime is 930222311089. The next prime is 930222311111. The reversal of 930222311101 is 101113222039.

It can be written as a sum of positive squares in 4 ways, for example, as 54884307076 + 875338004025 = 234274^2 + 935595^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 930222311101 - 213 = 930222302909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930222311111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800305 + ... + 1581433.

It is an arithmetic number, because the mean of its divisors is an integer number (117486248215).

Almost surely, 2930222311101 is an apocalyptic number.

It is an amenable number.

930222311101 is a deficient number, since it is larger than the sum of its proper divisors (9667674619).

930222311101 is a wasteful number, since it uses less digits than its factorization.

930222311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793503.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 930222311101 in words is "nine hundred thirty billion, two hundred twenty-two million, three hundred eleven thousand, one hundred one".

Divisors: 1 97 12277 781129 1190869 75769513 9589920733 930222311101