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10011100121022 = 237111314331163189
BaseRepresentation
bin1001000110101110010000…
…0100010000011110111110
31022110001101210001211021210
42101223210010100132332
52303010213112333042
633143011431105250
72052164251665210
oct221534404203676
938401353054253
1010011100121022
11320a758036260
121158275212226
13578072a39780
1426877b4225b0
151256296aca9c
hex91ae41107be

10011100121022 has 128 divisors (see below), whose sum is σ = 26901737210880. Its totient is φ = 2398586711040.

The previous prime is 10011100120999. The next prime is 10011100121027. The reversal of 10011100121022 is 22012100111001.

It is a junction number, because it is equal to n+sod(n) for n = 10011100120989 and 10011100121007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011100121027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8025004 + ... + 9188192.

It is an arithmetic number, because the mean of its divisors is an integer number (210169821960).

Almost surely, 210011100121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011100121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450868605440).

10011100121022 is an abundant number, since it is smaller than the sum of its proper divisors (16890637089858).

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

10011100121022 is a wasteful number, since it uses less digits than its factorization.

10011100121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164658.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011100121022 its reverse (22012100111001), we get a palindrome (32023200232023).

The spelling of 10011100121022 in words is "ten trillion, eleven billion, one hundred million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1433 2002 2866 3003 4299 6006 8598 10031 15763 18629 20062 30093 31526 37258 47289 55887 60186 94578 110341 111774 130403 204919 220682 260806 331023 391209 409838 614757 662046 782418 1163189 1229514 1434433 2326378 2868866 3489567 4303299 6979134 8142323 8606598 12795079 15121457 16284646 24426969 25590158 30242914 38385237 45364371 48853938 76770474 89565553 90728742 105850199 166336027 179131106 211700398 268696659 317550597 332672054 499008081 537393318 635101194 998016162 1164352189 1666849837 2328704378 3333699674 3493056567 5000549511 6986113134 10001099022 11667948859 18335348207 21669047881 23335897718 35003846577 36670696414 43338095762 55006044621 65007143643 70007693154 110012089242 128347437449 130014287286 151683335167 238359526691 256694874898 303366670334 385042312347 455050005501 476719053382 715078580073 770084624694 910100011002 1430157160146 1668516686837 3337033373674 5005550060511 10011100121022