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101122221213 = 32134312005319
BaseRepresentation
bin101111000101101011…
…0101010010010011101
3100200000101022002100100
41132023112222102131
53124044242034323
6114242132051313
710206621461316
oct1361326522235
9320011262310
10101122221213
1139981948552
1217721763b39
1396c7170870
144c7410560d
15296ca0e943
hex178b5aa49d

101122221213 has 24 divisors (see below), whose sum is σ = 157666279680. Its totient is φ = 62084645280.

The previous prime is 101122221119. The next prime is 101122221241. The reversal of 101122221213 is 312122221101.

It is not a de Polignac number, because 101122221213 - 28 = 101122220957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122221253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952233 + ... + 1053086.

It is an arithmetic number, because the mean of its divisors is an integer number (6569428320).

Almost surely, 2101122221213 is an apocalyptic number.

101122221213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101122221213 is a deficient number, since it is larger than the sum of its proper divisors (56544058467).

101122221213 is a wasteful number, since it uses less digits than its factorization.

101122221213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005769 (or 2005766 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101122221213 its reverse (312122221101), we get a palindrome (413244442314).

The spelling of 101122221213 in words is "one hundred one billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 431 1293 3879 5603 16809 50427 2005319 6015957 18047871 26069147 78207441 234622323 864292489 2592877467 7778632401 11235802357 33707407071 101122221213