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22120212211002 = 234712517662001
BaseRepresentation
bin1010000011110010000110…
…11001000010010100111010
32220022200010121210101220000
411001321003121002110322
510344404143311223002
6115013515112013430
74442063323325223
oct501710331022472
986280117711800
1022120212211002
117059147136234
122593066391276
13c45c089a37b9
145668a42d424a
152855e678661c
hex141e4364253a

22120212211002 has 80 divisors (see below), whose sum is σ = 50464029236544. Its totient is φ = 7240590000000.

The previous prime is 22120212210893. The next prime is 22120212211033. The reversal of 22120212211002 is 20011221202122.

It is a happy number.

22120212211002 is a `hidden beast` number, since 221 + 20 + 212 + 211 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943999 + ... + 6718002.

Almost surely, 222120212211002 is an apocalyptic number.

22120212211002 is an abundant number, since it is smaller than the sum of its proper divisors (28343817025542).

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

22120212211002 is a wasteful number, since it uses less digits than its factorization.

22120212211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662337 (or 7662328 counting only the distinct ones).

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

Adding to 22120212211002 its reverse (20011221202122), we get a palindrome (42131433413124).

The spelling of 22120212211002 in words is "twenty-two trillion, one hundred twenty billion, two hundred twelve million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 251 426 502 639 753 1278 1506 1917 2259 3834 4518 5751 6777 11502 13554 17821 20331 35642 40662 53463 106926 160389 320778 481167 962334 1443501 2887002 7662001 15324002 22986003 45972006 68958009 137916018 206874027 413748054 544002071 620622081 1088004142 1241244162 1632006213 1923162251 3264012426 3846324502 4896018639 5769486753 9792037278 11538973506 14688055917 17308460259 29376111834 34616920518 44064167751 51925380777 88128335502 103850761554 136544519821 155776142331 273089039642 311552284662 409633559463 819267118926 1228900678389 2457801356778 3686702035167 7373404070334 11060106105501 22120212211002