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10022011122020 = 2251937775391939
BaseRepresentation
bin1001000111010110111001…
…1010011011000101100100
31022111002120012001002211212
42101311232122123011210
52303200034321401040
633152014235450552
72053031530654562
oct221655632330544
938432505032755
1010022011122020
113214347006857
12115a3bb2b6a58
135790c13a2991
142690d4566a32
15125a6751bd65
hex91d6e69b164

10022011122020 has 96 divisors (see below), whose sum is σ = 22755856099200. Its totient is φ = 3694654301184.

The previous prime is 10022011122007. The next prime is 10022011122043. The reversal of 10022011122020 is 2022111022001.

10022011122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10022011121986 and 10022011122004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108961211 + ... + 109053149.

It is an arithmetic number, because the mean of its divisors is an integer number (237040167700).

Almost surely, 210022011122020 is an apocalyptic number.

10022011122020 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 10022011122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11377928049600).

10022011122020 is an abundant number, since it is smaller than the sum of its proper divisors (12733844977180).

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

10022011122020 is a wasteful number, since it uses less digits than its factorization.

10022011122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99757 (or 99755 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022011122020 its reverse (2022111022001), we get a palindrome (12044122144021).

The spelling of 10022011122020 in words is "ten trillion, twenty-two billion, eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 7753 14060 15506 31012 38765 77530 91939 147307 155060 183878 286861 294614 367756 459695 573722 589228 736535 919390 1147444 1434305 1473070 1746841 1838780 2868610 2946140 3401743 3493682 5450359 5737220 6803486 6987364 8734205 10900718 13606972 17008715 17468410 21801436 27251795 34017430 34936820 54503590 64633117 68034860 109007180 129266234 258532468 323165585 646331170 712803067 1292662340 1425606134 2851212268 3564015335 7128030670 13543258273 14256061340 26373713479 27086516546 52747426958 54173033092 67716291365 105494853916 131868567395 135432582730 263737134790 270865165460 501100556101 527474269580 1002201112202 2004402224404 2505502780505 5011005561010 10022011122020