Search a number
-
+
1020001220220 = 2235235231413253
BaseRepresentation
bin11101101011111001100…
…11110111011001111100
310121111210122020200120010
432311330303313121330
5113202430303021340
62100325422023220
7133456403214303
oct16657463673174
93544718220503
101020001220220
11363642108764
12145824417b10
1375254cac9a8
143752296943a
151b7ec673b80
hexed7ccf767c

1020001220220 has 96 divisors (see below), whose sum is σ = 2985877827072. Its totient is φ = 259676575488.

The previous prime is 1020001220153. The next prime is 1020001220257. The reversal of 1020001220220 is 220221000201.

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 = 1020001220196 and 1020001220205.

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, 15114 + ... + 1428366.

It is an arithmetic number, because the mean of its divisors is an integer number (31102894032).

Almost surely, 21020001220220 is an apocalyptic number.

1020001220220 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 1020001220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492938913536).

1020001220220 is an abundant number, since it is smaller than the sum of its proper divisors (1965876606852).

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

1020001220220 is a wasteful number, since it uses less digits than its factorization.

1020001220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413811 (or 1413809 counting only the distinct ones).

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

Adding to 1020001220220 its reverse (220221000201), we get a palindrome (1240222220421).

The spelling of 1020001220220 in words is "one trillion, twenty billion, one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 523 690 1046 1380 1569 2092 2615 3138 5230 6276 7845 10460 12029 15690 24058 31380 36087 48116 60145 72174 120290 144348 180435 240580 360870 721740 1413253 2826506 4239759 5653012 7066265 8479518 14132530 16959036 21198795 28265060 32504819 42397590 65009638 84795180 97514457 130019276 162524095 195028914 325048190 390057828 487572285 650096380 739131319 975144570 1478262638 1950289140 2217393957 2956525276 3695656595 4434787914 7391313190 8869575828 11086969785 14782626380 17000020337 22173939570 34000040674 44347879140 51000061011 68000081348 85000101685 102000122022 170000203370 204000244044 255000305055 340000406740 510000610110 1020001220220