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21211112002122 = 23272101238107721
BaseRepresentation
bin1001101001010100110001…
…10010111101001001001010
32210002202120212100210220100
410310222120302331021022
510240010324133031442
6113040130023310230
74316311062131400
oct464523062751112
983082525323810
1021211112002122
116838644830859
122466a325ab376
13bab278a7c813
145348a248d470
1526bb3a38684c
hex134a98cbd24a

21211112002122 has 72 divisors (see below), whose sum is σ = 53989973532612. Its totient is φ = 6000314544000.

The previous prime is 21211112002111. The next prime is 21211112002127. The reversal of 21211112002122 is 22120021111212.

It can be written as a sum of positive squares in 2 ways, for example, as 20334246441201 + 876865560921 = 4509351^2 + 936411^2 .

It is a super-2 number, since 2×212111120021222 (a number of 27 digits) contains 22 as substring.

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 = 21211112002095 and 21211112002104.

It is not an unprimeable number, because it can be changed into a prime (21211112002127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118964779 + ... + 119142942.

Almost surely, 221211112002122 is an apocalyptic number.

21211112002122 is an abundant number, since it is smaller than the sum of its proper divisors (32778861530490).

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

21211112002122 is a wasteful number, since it uses less digits than its factorization.

21211112002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238107844 (or 238107834 counting only the distinct ones).

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

Adding to 21211112002122 its reverse (22120021111212), we get a palindrome (43331133113334).

The spelling of 21211112002122 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 126 147 202 294 303 441 606 707 882 909 1414 1818 2121 4242 4949 6363 9898 12726 14847 29694 44541 89082 238107721 476215442 714323163 1428646326 1666754047 2142969489 3333508094 4285938978 5000262141 10000524282 11667278329 15000786423 23334556658 24048879821 30001572846 35001834987 48097759642 70003669974 72146639463 105005504961 144293278926 168342158747 210011009922 216439918389 336684317494 432879836778 505026476241 1010052952482 1178395111229 1515079428723 2356790222458 3030158857446 3535185333687 7070370667374 10605556001061 21211112002122