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1002001220 = 2251131146921
BaseRepresentation
bin111011101110010…
…101001101000100
32120211102221021022
4323232111031010
54023003014340
6243232210312
733554604233
oct7356251504
92524387238
101002001220
11474670390
1223b699998
1312c78b03c
149710cb1a
155ce793b5
hex3bb95344

1002001220 has 48 divisors (see below), whose sum is σ = 2369558016. Its totient is φ = 352608000.

The previous prime is 1002001219. The next prime is 1002001237. The reversal of 1002001220 is 221002001.

It is a junction number, because it is equal to n+sod(n) for n = 1002001198 and 1002001207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66641 + ... + 80280.

It is an arithmetic number, because the mean of its divisors is an integer number (49365792).

Almost surely, 21002001220 is an apocalyptic number.

1002001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002001220 is an abundant number, since it is smaller than the sum of its proper divisors (1367556796).

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

1002001220 is a wasteful number, since it uses less digits than its factorization.

1002001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146972 (or 146970 counting only the distinct ones).

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

The square root of 1002001220 is about 31654.4028533157. The cubic root of 1002001220 is about 1000.6666288406. Note that the first 4 decimals are identical.

Adding to 1002001220 its reverse (221002001), we get a palindrome (1223003221).

The spelling of 1002001220 in words is "one billion, two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 146921 293842 587684 734605 1469210 1616131 2938420 3232262 4554551 6464524 8080655 9109102 16161310 18218204 22772755 32322620 45545510 50100061 91091020 100200122 200400244 250500305 501000610 1002001220