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10211011020020 = 22517711931219053
BaseRepresentation
bin1001010010010110111110…
…1011110100010011110100
31100011011101220200201012002
42110211233223310103310
52314244122310120040
633414512415314432
72102502241412426
oct224455753642364
940134356621162
1010211011020020
11328751357a568
12118ab66b1ba18
13590b8175cc55
1427430374c816
1512a929dd1a15
hex9496faf44f4

10211011020020 has 96 divisors (see below), whose sum is σ = 23036293437696. Its totient is φ = 3788022425600.

The previous prime is 10211011019981. The next prime is 10211011020061. The reversal of 10211011020020 is 2002011011201.

It is a junction number, because it is equal to n+sod(n) for n = 10211011019983 and 10211011020010.

It is a congruent number.

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, 46504814 + ... + 46723866.

It is an arithmetic number, because the mean of its divisors is an integer number (239961389976).

Almost surely, 210211011020020 is an apocalyptic number.

10211011020020 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 10211011020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518146718848).

10211011020020 is an abundant number, since it is smaller than the sum of its proper divisors (12825282417676).

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

10211011020020 is a wasteful number, since it uses less digits than its factorization.

10211011020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221081 (or 221079 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211011020020 its reverse (2002011011201), we get a palindrome (12213022031221).

The spelling of 10211011020020 in words is "ten trillion, two hundred eleven billion, eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 1931 2414 3862 4828 6035 7724 9655 12070 19310 24140 32827 38620 65654 131308 137101 164135 219053 274202 328270 438106 548404 656540 685505 876212 1095265 1371010 2190530 2330717 2742020 3723901 4381060 4661434 7447802 9322868 11653585 14895604 15552763 18619505 23307170 31105526 37239010 46614340 62211052 74478020 77763815 155527630 264396971 311055260 422991343 528793942 845982686 1057587884 1321984855 1691965372 2114956715 2643969710 4229913430 5287939420 7190852831 8459826860 14381705662 28763411324 30032385353 35954264155 60064770706 71908528310 120129541412 143817056620 150161926765 300323853530 510550551001 600647707060 1021101102002 2042202204004 2552752755005 5105505510010 10211011020020