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10211023332020 = 2257313607652279
BaseRepresentation
bin1001010010010111000001…
…1010110010001010110100
31100011011102202212020002002
42110211300122302022310
52314244133433111040
633414513535234432
72102502451151450
oct224456032621264
940134382766062
1010211023332020
11328751a519775
12118ab6b078a18
13590b84180c64
14274305235660
1512a92b014a15
hex949706b22b4

10211023332020 has 96 divisors (see below), whose sum is σ = 25304038932480. Its totient is φ = 3387044833920.

The previous prime is 10211023331963. The next prime is 10211023332031. The reversal of 10211023332020 is 2023332011201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10211023331983 and 10211023332001.

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, 15328241 + ... + 15980519.

It is an arithmetic number, because the mean of its divisors is an integer number (263583738880).

Almost surely, 210211023332020 is an apocalyptic number.

10211023332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211023332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652019466240).

10211023332020 is an abundant number, since it is smaller than the sum of its proper divisors (15093015600460).

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

10211023332020 is a wasteful number, since it uses less digits than its factorization.

10211023332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655933 (or 655931 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10211023332020 its reverse (2023332011201), we get a palindrome (12234355343221).

The spelling of 10211023332020 in words is "ten trillion, two hundred eleven billion, twenty-three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3607 4340 7214 14428 18035 25249 36070 50498 72140 100996 111817 126245 223634 252490 447268 504980 559085 652279 782719 1118170 1304558 1565438 2236340 2609116 3130876 3261395 3913595 4565953 6522790 7827190 9131906 13045580 15654380 18263812 20220649 22829765 40441298 45659530 80882596 91319060 101103245 141544543 202206490 283089086 404412980 566178172 707722715 1415445430 2352770353 2830890860 4705540706 9411081412 11763851765 16469392471 23527703530 32938784942 47055407060 65877569884 72935880943 82346962355 145871761886 164693924710 291743523772 329387849420 364679404715 510551166601 729358809430 1021102333202 1458717618860 2042204666404 2552755833005 5105511666010 10211023332020