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10000022120022 = 23114327491281781
BaseRepresentation
bin1001000110000100111111…
…0001000010011001010110
31022101222210201212001210110
42101201033301002121112
52302320021130320042
633133540255103450
72051322604353204
oct221411761023126
938358721761713
1010000022120022
113205a92872130
1211560a3211b86
13576cc89018ac
1426800a04a074
151251cbd6209c
hex9184fc42656

10000022120022 has 64 divisors (see below), whose sum is σ = 22333769568000. Its totient is φ = 2958758409600.

The previous prime is 10000022119957. The next prime is 10000022120063. The reversal of 10000022120022 is 22002122000001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7160772 + ... + 8442552.

It is an arithmetic number, because the mean of its divisors is an integer number (348965149500).

Almost surely, 210000022120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000022120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11166884784000).

10000022120022 is an abundant number, since it is smaller than the sum of its proper divisors (12333747447978).

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

10000022120022 is a wasteful number, since it uses less digits than its factorization.

10000022120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284589.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10000022120022 its reverse (22002122000001), we get a palindrome (32002144120023).

The spelling of 10000022120022 in words is "ten trillion, twenty-two million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2749 2838 5498 8247 16494 30239 60478 90717 118207 181434 236414 354621 709242 1281781 1300277 2563562 2600554 3845343 3900831 7690686 7801662 14099591 28199182 42298773 55116583 84597546 110233166 165349749 330699498 606282413 1212564826 1818847239 3523615969 3637694478 7047231938 10570847907 21141695814 38759775659 77519551318 116279326977 151515486667 232558653954 303030973334 454546460001 909092920002 1666670353337 3333340706674 5000011060011 10000022120022