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10000022000022 = 233717513473033
BaseRepresentation
bin1001000110000100111111…
…0000100101000110010110
31022101222210201121222012000
42101201033300211012112
52302320021113000042
633133540252340130
72051322603343305
oct221411760450626
938358721558160
1010000022000022
113205a9279aa5a
1211560a3174646
13576cc888c0a2
1426800a01843c
151251cbd3b74c
hex9184fc25196

10000022000022 has 64 divisors (see below), whose sum is σ = 22565274347520. Its totient is φ = 3282015240000.

The previous prime is 10000022000021. The next prime is 10000022000057. The reversal of 10000022000022 is 22000022000001.

It is a Harshad number since it is a multiple of its sum of digits (9).

10000022000022 is a modest number, since divided by 22000022 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10000021999968 and 10000022000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000022000021) by changing a digit.

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, 1142818 + ... + 4615850.

It is an arithmetic number, because the mean of its divisors is an integer number (352582411680).

Almost surely, 210000022000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000022000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11282637173760).

10000022000022 is an abundant number, since it is smaller than the sum of its proper divisors (12565252347498).

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

10000022000022 is a wasteful number, since it uses less digits than its factorization.

10000022000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473866 (or 3473860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10000022000022 its reverse (22000022000001), we get a palindrome (32000044000023).

The spelling of 10000022000022 in words is "ten trillion, twenty-two million, twenty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 751 1278 1502 1917 2253 3834 4506 6759 13518 20277 40554 53321 106642 159963 319926 479889 959778 1439667 2879334 3473033 6946066 10419099 20838198 31257297 62514594 93771891 187543782 246585343 493170686 739756029 1479512058 2219268087 2608247783 4438536174 5216495566 6657804261 7824743349 13315608522 15649486698 23474230047 46948460094 70422690141 140845380282 185185592593 370371185186 555556777779 1111113555558 1666670333337 3333340666674 5000011000011 10000022000022