Search a number
-
+
1021010220 = 2232519793779
BaseRepresentation
bin111100110110110…
…110000100101100
32122011012200201100
4330312312010230
54042334311340
6245151443100
734205305116
oct7466660454
92564180640
101021010220
114843740aa
12245b26490
131336b5379
149985a3b6
155e981830
hex3cdb612c

1021010220 has 144 divisors (see below), whose sum is σ = 3302208000. Its totient is φ = 254606976.

The previous prime is 1021010197. The next prime is 1021010231. The reversal of 1021010220 is 220101201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268291 + ... + 272069.

It is an arithmetic number, because the mean of its divisors is an integer number (22932000).

Almost surely, 21021010220 is an apocalyptic number.

1021010220 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 1021010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104000).

1021010220 is an abundant number, since it is smaller than the sum of its proper divisors (2281197780).

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

1021010220 is a wasteful number, since it uses less digits than its factorization.

1021010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1021010220 is about 31953.2505388732. The cubic root of 1021010220 is about 1006.9549235661.

Adding to 1021010220 its reverse (220101201), we get a palindrome (1241111421).

The spelling of 1021010220 in words is "one billion, twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 79 90 95 114 158 171 180 190 228 237 285 316 342 380 395 474 570 684 711 790 855 948 1140 1185 1422 1501 1580 1710 2370 2844 3002 3420 3555 3779 4503 4740 6004 7110 7505 7558 9006 11337 13509 14220 15010 15116 18012 18895 22515 22674 27018 30020 34011 37790 45030 45348 54036 56685 67545 68022 71801 75580 90060 113370 135090 136044 143602 170055 215403 226740 270180 287204 298541 340110 359005 430806 597082 646209 680220 718010 861612 895623 1077015 1194164 1292418 1436020 1492705 1791246 2154030 2584836 2686869 2985410 3231045 3582492 4308060 4478115 5373738 5672279 5970820 6462090 8956230 10747476 11344558 12924180 13434345 17016837 17912460 22689116 26868690 28361395 34033674 51050511 53737380 56722790 68067348 85084185 102101022 113445580 170168370 204202044 255252555 340336740 510505110 1021010220