Search a number
-
+
21221001022122 = 23211195640882781
BaseRepresentation
bin1001101001100111001100…
…01110100100101010101010
32210010201010001022002002100
410310303212032210222222
510240141102230201442
6113044443203314230
74320111121330446
oct464634616445252
983121101262070
1021221001022122
116841859934960
12246893237b976
13bac193780845
1453515d9a3826
1526c01862184c
hex134ce63a4aaa

21221001022122 has 48 divisors (see below), whose sum is σ = 52798662839520. Its totient is φ = 6092153402400.

The previous prime is 21221001022121. The next prime is 21221001022127. The reversal of 21221001022122 is 22122010012212.

It is a happy number.

21221001022122 is a `hidden beast` number, since 212 + 210 + 0 + 1 + 0 + 221 + 22 = 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 = 21221001022095 and 21221001022104.

It is not an unprimeable number, because it can be changed into a prime (21221001022121) 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, 2820437629 + ... + 2820445152.

It is an arithmetic number, because the mean of its divisors is an integer number (1099972142490).

Almost surely, 221221001022122 is an apocalyptic number.

21221001022122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21221001022122 is an abundant number, since it is smaller than the sum of its proper divisors (31577661817398).

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

21221001022122 is a wasteful number, since it uses less digits than its factorization.

21221001022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640882819 (or 5640882816 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21221001022122 its reverse (22122010012212), we get a palindrome (43343011034334).

The spelling of 21221001022122 in words is "twenty-one trillion, two hundred twenty-one billion, one million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 5640882781 11281765562 16922648343 33845296686 50767945029 62049710591 101535890058 107176772839 124099421182 186149131773 214353545678 321530318517 372298263546 558447395319 643060637034 964590955551 1116894790638 1178944501229 1929181911102 2357889002458 3536833503687 7073667007374 10610500511061 21221001022122