Search a number
-
+
10020002221020 = 22351149019309713
BaseRepresentation
bin1001000111001111011010…
…1011000100101111011100
31022110220101011221100202010
42101303312223010233130
52303131431032033040
633151043034031220
72052630665411421
oct221636653045734
938426334840663
1010020002221020
11321350603a7a0
121159b3a578510
13578b6113006c
14268d83831d48
1512599ae9be80
hex91cf6ac4bdc

10020002221020 has 96 divisors (see below), whose sum is σ = 30607275444480. Its totient is φ = 2429034050560.

The previous prime is 10020002220979. The next prime is 10020002221027. The reversal of 10020002221020 is 2012220002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10020002220987 and 10020002221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020002221027) 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, 32197684 + ... + 32507396.

It is an arithmetic number, because the mean of its divisors is an integer number (318825785880).

Almost surely, 210020002221020 is an apocalyptic number.

10020002221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020002221020 is an abundant number, since it is smaller than the sum of its proper divisors (20587273223460).

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

10020002221020 is a wasteful number, since it uses less digits than its factorization.

10020002221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358755 (or 358753 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020002221020 its reverse (2012220002001), we get a palindrome (12032222223021).

The spelling of 10020002221020 in words is "ten trillion, twenty billion, two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 49019 98038 147057 196076 245095 294114 309713 490190 539209 588228 619426 735285 929139 980380 1078418 1238852 1470570 1548565 1617627 1858278 2156836 2696045 2941140 3097130 3235254 3406843 3716556 4645695 5392090 6194260 6470508 6813686 8088135 9291390 10220529 10784180 13627372 16176270 17034215 18582780 20441058 32352540 34068430 40882116 51102645 68136860 102205290 204410580 15181821547 30363643094 45545464641 60727286188 75909107735 91090929282 151818215470 167000037017 182181858564 227727323205 303636430940 334000074034 455454646410 501000111051 668000148068 835000185085 910909292820 1002000222102 1670000370170 2004000444204 2505000555255 3340000740340 5010001110510 10020002221020