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10011021001020 = 22325134278214103
BaseRepresentation
bin1001000110101101111101…
…0110011100000100111100
31022110001012021012010001100
42101223133112130010330
52303010032334013040
633142555523213100
72052162301325514
oct221533726340474
938401167163040
1010011021001020
11320a717406226
121158252817190
1357805c526ac0
14268770b08844
1512562277eb30
hex91adf59c13c

10011021001020 has 72 divisors (see below), whose sum is σ = 32702668610976. Its totient is φ = 2464251322752.

The previous prime is 10011021000989. The next prime is 10011021001039. The reversal of 10011021001020 is 2010012011001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10011021000993 and 10011021001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2139104712 + ... + 2139109391.

It is an arithmetic number, because the mean of its divisors is an integer number (454203730708).

Almost surely, 210011021001020 is an apocalyptic number.

10011021001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011021001020 is an abundant number, since it is smaller than the sum of its proper divisors (22691647609956).

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

10011021001020 is a wasteful number, since it uses less digits than its factorization.

10011021001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278214131 (or 4278214126 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011021001020 its reverse (2010012011001), we get a palindrome (12021033012021).

The spelling of 10011021001020 in words is "ten trillion, eleven billion, twenty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4278214103 8556428206 12834642309 17112856412 21391070515 25669284618 38503926927 42782141030 51338569236 55616783339 64173211545 77007853854 85564282060 111233566678 128346423090 154015707708 166850350017 192519634635 222467133356 256692846180 278083916695 333700700034 385039269270 500551050051 556167833390 667401400068 770078538540 834251750085 1001102100102 1112335666780 1668503500170 2002204200204 2502755250255 3337007000340 5005510500510 10011021001020