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1031001220 = 2252316713421
BaseRepresentation
bin111101011100111…
…101010010000100
32122212000021210101
4331130331102010
54102414014340
6250145533444
734356236314
oct7534752204
92585007711
101031001220
11489a78527
12249344284
131357a2ac2
149acdb444
15607a6c9a
hex3d73d484

1031001220 has 48 divisors (see below), whose sum is σ = 2272935168. Its totient is φ = 392078720.

The previous prime is 1031001173. The next prime is 1031001221. The reversal of 1031001220 is 221001301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1031001197 and 1031001206.

It is not an unprimeable number, because it can be changed into a prime (1031001221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70110 + ... + 83530.

It is an arithmetic number, because the mean of its divisors is an integer number (47352816).

Almost surely, 21031001220 is an apocalyptic number.

1031001220 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 1031001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136467584).

1031001220 is an abundant number, since it is smaller than the sum of its proper divisors (1241933948).

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

1031001220 is a wasteful number, since it uses less digits than its factorization.

1031001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13620 (or 13618 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1031001220 is about 32109.2077136762. The cubic root of 1031001220 is about 1010.2287558182.

Adding to 1031001220 its reverse (221001301), we get a palindrome (1252002521).

The spelling of 1031001220 in words is "one billion, thirty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 167 230 334 460 668 835 1670 3340 3841 7682 13421 15364 19205 26842 38410 53684 67105 76820 134210 268420 308683 617366 1234732 1543415 2241307 3086830 4482614 6173660 8965228 11206535 22413070 44826140 51550061 103100122 206200244 257750305 515500610 1031001220