Search a number
-
+
1012001220 = 2232537315073
BaseRepresentation
bin111100010100011…
…110100111000100
32121112020222200200
4330110132213010
54033033014340
6244230410500
734035603606
oct7424364704
92545228620
101012001220
1147a28054a
12242b00a30
1313187c8b9
1498593176
155dca2330
hex3c51e9c4

1012001220 has 72 divisors (see below), whose sum is σ = 3078171096. Its totient is φ = 269125632.

The previous prime is 1012001201. The next prime is 1012001257. The reversal of 1012001220 is 221002101.

1012001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 109118916 + 902882304 = 10446^2 + 30048^2 .

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 23 ways as a sum of consecutive naturals, for example, 59604 + ... + 74676.

Almost surely, 21012001220 is an apocalyptic number.

1012001220 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 1012001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539085548).

1012001220 is an abundant number, since it is smaller than the sum of its proper divisors (2066169876).

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

1012001220 is a wasteful number, since it uses less digits than its factorization.

1012001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15461 (or 15456 counting only the distinct ones).

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

The square root of 1012001220 is about 31811.9666163537. The cubic root of 1012001220 is about 1003.9845092661.

Adding to 1012001220 its reverse (221002101), we get a palindrome (1233003321).

The spelling of 1012001220 in words is "one billion, twelve million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 11190 13428 15073 16785 22380 30146 33570 45219 60292 67140 75365 90438 135657 150730 180876 226095 271314 301460 452190 542628 678285 904380 1356570 2713140 5622229 11244458 16866687 22488916 28111145 33733374 50600061 56222290 67466748 84333435 101200122 112444580 168666870 202400244 253000305 337333740 506000610 1012001220