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2122210102008 = 2333710147874943
BaseRepresentation
bin11110111000011101100…
…101000100101011111000
321111212210110201021110110
4132320131211010223320
5234232241241231013
64302532503344320
7306216226142403
oct36703545045370
97455713637413
102122210102008
1174902a305297
122a336ba520a0
1312517b5a91b9
1474a03542d3a
153a30bee82c3
hex1ee1d944af8

2122210102008 has 128 divisors (see below), whose sum is σ = 5505130552320. Its totient is φ = 681189465600.

The previous prime is 2122210102003. The next prime is 2122210102009. The reversal of 2122210102008 is 8002010122212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122210102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429333985 + ... + 429338927.

It is an arithmetic number, because the mean of its divisors is an integer number (43008832440).

Almost surely, 22122210102008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122210102008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752565276160).

2122210102008 is an abundant number, since it is smaller than the sum of its proper divisors (3382920450312).

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

2122210102008 is a wasteful number, since it uses less digits than its factorization.

2122210102008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 2122210102008 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred two thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 101 111 148 202 222 296 303 404 444 606 808 888 1212 2424 3737 4787 4943 7474 9574 9886 11211 14361 14829 14948 19148 19772 22422 28722 29658 29896 38296 39544 44844 57444 59316 89688 114888 118632 177119 182891 354238 365782 483487 499243 531357 548673 708476 731564 966974 998486 1062714 1097346 1416952 1450461 1463128 1497729 1933948 1996972 2125428 2194692 2900922 2995458 3867896 3993944 4250856 4389384 5801844 5990916 11603688 11981832 17889019 18471991 23662141 35778038 36943982 47324282 53667057 55415973 70986423 71556076 73887964 94648564 107334114 110831946 141972846 143112152 147775928 189297128 214668228 221663892 283945692 429336456 443327784 567891384 875499217 1750998434 2389876241 2626497651 3501996868 4779752482 5252995302 7003993736 7169628723 9559504964 10505990604 14339257446 19119009928 21011981208 28678514892 57357029784 88425420917 176850841834 265276262751 353701683668 530552525502 707403367336 1061105051004 2122210102008