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2311033330122 = 23111731130151071
BaseRepresentation
bin100001101000010100010…
…100100001100111001010
322011221011212221010021120
4201220110110201213022
5300330444013030442
64525401332420110
7325652363121546
oct41502424414712
98157155833246
102311033330122
11811116080330
12313a88477636
13139c1118a28a
147dbd709aa26
15401ae1114ec
hex21a145219ca

2311033330122 has 128 divisors (see below), whose sum is σ = 5515422990336. Its totient is φ = 637353600000.

The previous prime is 2311033330049. The next prime is 2311033330157. The reversal of 2311033330122 is 2210333301132.

It is a junction number, because it is equal to n+sod(n) for n = 2311033330092 and 2311033330101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45225847 + ... + 45276917.

It is an arithmetic number, because the mean of its divisors is an integer number (43089242112).

Almost surely, 22311033330122 is an apocalyptic number.

2311033330122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311033330122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757711495168).

2311033330122 is an abundant number, since it is smaller than the sum of its proper divisors (3204389660214).

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

2311033330122 is a wasteful number, since it uses less digits than its factorization.

2311033330122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52436.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2311033330122 its reverse (2210333301132), we get a palindrome (4521366631254).

The spelling of 2311033330122 in words is "two trillion, three hundred eleven billion, thirty-three million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 186 187 341 374 527 561 682 1023 1054 1122 1301 1581 2046 2602 3162 3903 5797 7806 11594 14311 17391 22117 28622 34782 40331 42933 44234 51071 66351 80662 85866 102142 120993 132702 153213 241986 243287 306426 443641 486574 561781 685627 729861 868207 887282 1123562 1330923 1371254 1459722 1583201 1685343 1736414 2056881 2604621 2661846 3166402 3370686 4113762 4749603 5209242 7541897 9499206 9550277 15083794 17415211 19100554 22625691 26914417 28650831 34830422 45251382 52245633 53828834 57301662 66443371 80743251 104491266 132886742 161486502 199330113 296058587 398660226 592117174 730877081 888175761 1129537307 1461754162 1776351522 2059744501 2192631243 2259074614 3388611921 4119489002 4385262486 6179233503 6777223842 12358467006 12424910377 22657189511 24849820754 35015656517 37274731131 45314379022 67971568533 70031313034 74549462262 105046969551 135943137066 210093939102 385172221687 770344443374 1155516665061 2311033330122