Search a number
-
+
221012100121122 = 23294712965628307
BaseRepresentation
bin110010010000001001100011…
…101110000000001000100010
31001222112112212021000211102100
4302100021203232000020202
5212432030240112333442
62102015320201431230
764360411605410502
oct6220114356001042
91058475767024370
10221012100121122
116446a783821382
122095576119b516
13964247565991b
143c81085329a02
151a84072ad784c
hexc90263b80222

221012100121122 has 24 divisors (see below), whose sum is σ = 479365209803376. Its totient is φ = 73592906264856.

The previous prime is 221012100121097. The next prime is 221012100121123. The reversal of 221012100121122 is 221121001210122.

221012100121122 is a `hidden beast` number, since 2 + 210 + 1 + 210 + 0 + 121 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221012100121095 and 221012100121104.

It is not an unprimeable number, because it can be changed into a prime (221012100121123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6482797108 + ... + 6482831199.

It is an arithmetic number, because the mean of its divisors is an integer number (19973550408474).

Almost surely, 2221012100121122 is an apocalyptic number.

221012100121122 is an abundant number, since it is smaller than the sum of its proper divisors (258353109682254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221012100121122 is a wasteful number, since it uses less digits than its factorization.

221012100121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12965629262 (or 12965629259 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221012100121122 its reverse (221121001210122), we get a palindrome (442133101331244).

The spelling of 221012100121122 in words is "two hundred twenty-one trillion, twelve billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 947 1894 2841 5682 8523 17046 12965628307 25931256614 38896884921 77793769842 116690654763 233381309526 12278450006729 24556900013458 36835350020187 73670700040374 110506050060561 221012100121122