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219791210121 = 32717205220551
BaseRepresentation
bin1100110010110010010…
…0111011011010001001
3210000022121221022212200
43030230210323122021
512100113022210441
6244545400230413
721610426314030
oct3145444733211
9700277838780
10219791210121
11852384542aa
123671b76b409
13179596829b2
14a8d0777717
155ab5beb7b6
hex332c93b689

219791210121 has 24 divisors (see below), whose sum is σ = 384172873344. Its totient is φ = 118207036800.

The previous prime is 219791210083. The next prime is 219791210123. The reversal of 219791210121 is 121012197912.

219791210121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 219791210121 - 26 = 219791210057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (219791210123) 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 23 ways as a sum of consecutive naturals, for example, 102609205 + ... + 102611346.

It is an arithmetic number, because the mean of its divisors is an integer number (16007203056).

Almost surely, 2219791210121 is an apocalyptic number.

219791210121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

219791210121 is a deficient number, since it is larger than the sum of its proper divisors (164381663223).

219791210121 is a wasteful number, since it uses less digits than its factorization.

219791210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205220581 (or 205220578 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

It can be divided in two parts, 21979 and 1210121, that added together give a square (1232100 = 11102).

The spelling of 219791210121 in words is "two hundred nineteen billion, seven hundred ninety-one million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 205220551 615661653 1436543857 1846984959 3488749367 4309631571 10466248101 12928894713 24421245569 31398744303 73263736707 219791210121