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101212123331 = 11101127717323
BaseRepresentation
bin101111001000010110…
…1100111000011000011
3100200020122110120212102
41132100231213003003
53124240300421311
6114255103021015
710212062565524
oct1362055470303
9320218416772
10101212123331
1139a18672320
121774789a76b
13970c98a097
144c8202884b
15297586c43b
hex1790b670c3

101212123331 has 16 divisors (see below), whose sum is σ = 112384585728. Its totient is φ = 90382572000.

The previous prime is 101212123289. The next prime is 101212123349. The reversal of 101212123331 is 133321212101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101212123331 - 222 = 101207929027 is a prime.

It is a super-2 number, since 2×1012121233312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101212123361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217565 + ... + 499758.

It is an arithmetic number, because the mean of its divisors is an integer number (7024036608).

Almost surely, 2101212123331 is an apocalyptic number.

101212123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101212123331 is a deficient number, since it is larger than the sum of its proper divisors (11172462397).

101212123331 is a wasteful number, since it uses less digits than its factorization.

101212123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717562.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101212123331 its reverse (133321212101), we get a palindrome (234533335432).

The spelling of 101212123331 in words is "one hundred one billion, two hundred twelve million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 11 101 127 1111 1397 12827 141097 717323 7890553 72449623 91100021 796945853 1002100231 9201102121 101212123331