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2101022132022 = 2321114971216261
BaseRepresentation
bin11110100100101110101…
…011011000011100110110
321102212002211210212202100
4132210232223120130312
5233410343131211042
64245110215522530
7304536200313222
oct36445653303466
97385084725670
102101022132022
117400472468a0
1229b238089446
13123182a5c958
147399357d782
15399bbd1b24c
hex1e92ead8736

2101022132022 has 48 divisors (see below), whose sum is σ = 4999381592400. Its totient is φ = 632400388800.

The previous prime is 2101022132017. The next prime is 2101022132063. The reversal of 2101022132022 is 2202312201012.

2101022132022 is a `hidden beast` number, since 2 + 101 + 0 + 221 + 320 + 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 = 2101022131986 and 2101022132004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35578629 + ... + 35637632.

It is an arithmetic number, because the mean of its divisors is an integer number (104153783175).

Almost surely, 22101022132022 is an apocalyptic number.

2101022132022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2101022132022 is an abundant number, since it is smaller than the sum of its proper divisors (2898359460378).

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

2101022132022 is a wasteful number, since it uses less digits than its factorization.

2101022132022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71216429 (or 71216426 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2101022132022 its reverse (2202312201012), we get a palindrome (4303334333034).

The spelling of 2101022132022 in words is "two trillion, one hundred one billion, twenty-two million, one hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 149 198 298 447 894 1341 1639 2682 3278 4917 9834 14751 29502 71216261 142432522 213648783 427297566 640946349 783378871 1281892698 1566757742 2350136613 4700273226 7050409839 10611222889 14100819678 21222445778 31833668667 63667337334 95501006001 116723451779 191002012002 233446903558 350170355337 700340710674 1050511066011 2101022132022