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101333212309 = 722068024741
BaseRepresentation
bin101111001011111101…
…1100001110010010101
3100200120002022112201101
41132113323201302111
53130012300243214
6114315110230101
710215063043600
oct1362773416225
9320502275641
10101333212309
1139a7aa5825a
1217780355331
13972baa5874
144c94149337
1529812da774
hex1797ee1c95

101333212309 has 6 divisors (see below), whose sum is σ = 117877410294. Its totient is φ = 86857039080.

The previous prime is 101333212289. The next prime is 101333212327. The reversal of 101333212309 is 903212333101.

It can be written as a sum of positive squares in only one way, i.e., 97158760209 + 4174452100 = 311703^2 + 64610^2 .

It is not a de Polignac number, because 101333212309 - 231 = 99185728661 is a prime.

It is a super-2 number, since 2×1013332123092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333212369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1034012322 + ... + 1034012419.

It is an arithmetic number, because the mean of its divisors is an integer number (19646235049).

Almost surely, 2101333212309 is an apocalyptic number.

It is an amenable number.

101333212309 is a deficient number, since it is larger than the sum of its proper divisors (16544197985).

101333212309 is an equidigital number, since it uses as much as digits as its factorization.

101333212309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068024755 (or 2068024748 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 101333212309 in words is "one hundred one billion, three hundred thirty-three million, two hundred twelve thousand, three hundred nine".

Divisors: 1 7 49 2068024741 14476173187 101333212309