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22012002120213 = 3273141535186777
BaseRepresentation
bin1010000000101000100011…
…00100010011001000010101
32212221022211021102020100200
411000110101210103020111
510341121040020321323
6114452101342131113
74431212634614040
oct500242144231025
985838737366320
1022012002120213
117017268388436
1225760a6b80a99
13c38952272991
1456155ab1bc57
152828b18a2443
hex140511913215

22012002120213 has 96 divisors (see below), whose sum is σ = 39149302413312. Its totient is φ = 11651573606400.

The previous prime is 22012002120203. The next prime is 22012002120223. The reversal of 22012002120213 is 31202120021022.

22012002120213 is a `hidden beast` number, since 220 + 1 + 20 + 0 + 212 + 0 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (22012002120203) and next prime (22012002120223).

It is not a de Polignac number, because 22012002120213 - 24 = 22012002120197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012002120203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1650481 + ... + 6837257.

It is an arithmetic number, because the mean of its divisors is an integer number (407805233472).

Almost surely, 222012002120213 is an apocalyptic number.

It is an amenable number.

22012002120213 is a deficient number, since it is larger than the sum of its proper divisors (17137300293099).

22012002120213 is a wasteful number, since it uses less digits than its factorization.

22012002120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186915 (or 5186912 counting only the distinct ones).

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

Adding to 22012002120213 its reverse (31202120021022), we get a palindrome (53214122141235).

The spelling of 22012002120213 in words is "twenty-two trillion, twelve billion, two million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 31 41 53 63 93 123 159 217 279 287 369 371 477 651 861 1113 1271 1643 1953 2173 2583 3339 3813 4929 6519 8897 11439 11501 14787 15211 19557 26691 34503 45633 67363 80073 103509 136899 202089 471541 606267 1414623 4243869 5186777 15560331 36307439 46680993 108922317 160790087 212657857 274899181 326766951 482370261 637973571 824697543 1125530609 1447110783 1488604999 1913920713 1924294267 2474092629 3376591827 4465814997 5772882801 6592393567 8521874611 10129775481 11270866421 13397444991 17318648403 19777180701 25565623833 33812599263 46146754969 59331542103 59653122277 76696871499 78896064947 101437797789 138440264907 178959366831 236688194841 349396859051 415320794721 536878100493 710064584523 1048190577153 2445778013357 3144571731459 7337334040071 22012002120213