Search a number
-
+
122000221101 = 31137475121031
BaseRepresentation
bin111000110011111000…
…1111010001110101101
3102122220101221101000110
41301213301322032231
53444324024033401
6132013544050233
711546164524543
oct1614761721655
9378811841013
10122000221101
1147815a42910
121b789763979
13b67370b255
145c94c5bd93
1532908ad9d6
hex1c67c7a3ad

122000221101 has 32 divisors (see below), whose sum is σ = 182297972736. Its totient is φ = 71922600000.

The previous prime is 122000221069. The next prime is 122000221121. The reversal of 122000221101 is 101122000221.

It is not a de Polignac number, because 122000221101 - 25 = 122000221069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000221121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5790456 + ... + 5811486.

It is an arithmetic number, because the mean of its divisors is an integer number (5696811648).

Almost surely, 2122000221101 is an apocalyptic number.

122000221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122000221101 is a deficient number, since it is larger than the sum of its proper divisors (60297751635).

122000221101 is a wasteful number, since it uses less digits than its factorization.

122000221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25833.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122000221101 its reverse (101122000221), we get a palindrome (223122221322).

It can be divided in two parts, 122000221 and 101, that multiplied together give a palindrome (12322022321).

The spelling of 122000221101 in words is "one hundred twenty-two billion, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 11 33 37 111 407 1221 4751 14253 21031 52261 63093 156783 175787 231341 527361 694023 778147 1933657 2334441 5800971 8559617 25678851 99918281 299754843 1099101091 3297303273 3696976397 11090929191 40666740367 122000221101