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2021311011020 = 2257671487144917
BaseRepresentation
bin11101011010011111100…
…001100101100011001100
321011020100122021101020112
4131122133201211203030
5231104121104323040
64144324421535152
7266014654052360
oct35323741454314
97136318241215
102021311011020
1170a262408894
122878b0b744b8
131187bb730a72
146db90d212a0
15378a3db1365
hex1d69f8658cc

2021311011020 has 96 divisors (see below), whose sum is σ = 4926896658432. Its totient is φ = 682213517568.

The previous prime is 2021311010989. The next prime is 2021311011029. The reversal of 2021311011020 is 201101131202.

It is a super-2 number, since 2×20213110110202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2021311010986 and 2021311011004.

It is not an unprimeable number, because it can be changed into a prime (2021311011029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13875602 + ... + 14020518.

It is an arithmetic number, because the mean of its divisors is an integer number (51321840192).

Almost surely, 22021311011020 is an apocalyptic number.

2021311011020 is a gapful number since it is divisible by the number (20) 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 2021311011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463448329216).

2021311011020 is an abundant number, since it is smaller than the sum of its proper divisors (2905585647412).

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

2021311011020 is a wasteful number, since it uses less digits than its factorization.

2021311011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146487 (or 146485 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2021311011020 its reverse (201101131202), we get a palindrome (2222412142222).

The spelling of 2021311011020 in words is "two trillion, twenty-one billion, three hundred eleven million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1487 1876 2345 2974 4690 5948 7435 9380 10409 14870 20818 29740 41636 52045 99629 104090 144917 199258 208180 289834 398516 498145 579668 697403 724585 996290 1014419 1394806 1449170 1992580 2028838 2789612 2898340 3487015 4057676 5072095 6974030 9709439 10144190 13948060 19418878 20288380 38837756 48547195 67966073 97094390 135932146 194188780 215491579 271864292 339830365 430983158 679660730 861966316 1077457895 1359321460 1508441053 2154915790 3016882106 4309831580 6033764212 7542205265 14437935793 15084410530 28875871586 30168821060 57751743172 72189678965 101065550551 144379357930 202131101102 288758715860 404262202204 505327752755 1010655505510 2021311011020