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1004201220 = 2235111789501
BaseRepresentation
bin111011110110101…
…110010100000100
32120222120201002210
4323312232110010
54024033414340
6243351303420
733612366231
oct7366562404
92528521083
101004201220
11475933270
1224037ab70
1313007b509
1497522788
155d261180
hex3bdae504

1004201220 has 96 divisors (see below), whose sum is σ = 3247848576. Its totient is φ = 229120000.

The previous prime is 1004201207. The next prime is 1004201221. The reversal of 1004201220 is 221024001.

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 = 1004201196 and 1004201205.

It is not an unprimeable number, because it can be changed into a prime (1004201221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33531 + ... + 55970.

It is an arithmetic number, because the mean of its divisors is an integer number (33831756).

Almost surely, 21004201220 is an apocalyptic number.

1004201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004201220 is an abundant number, since it is smaller than the sum of its proper divisors (2243647356).

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

1004201220 is a wasteful number, since it uses less digits than its factorization.

1004201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89541 (or 89539 counting only the distinct ones).

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

The square root of 1004201220 is about 31689.1340998772. The cubic root of 1004201220 is about 1001.3984500924.

Adding to 1004201220 its reverse (221024001), we get a palindrome (1225225221).

The spelling of 1004201220 in words is "one billion, four million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 89501 179002 268503 358004 447505 537006 895010 984511 1074012 1342515 1521517 1790020 1969022 2685030 2953533 3043034 3938044 4564551 4922555 5370060 5907066 6086068 7607585 9129102 9845110 11814132 14767665 15215170 16736687 18258204 19690220 22822755 29535330 30430340 33473374 45645510 50210061 59070660 66946748 83683435 91291020 100420122 167366870 200840244 251050305 334733740 502100610 1004201220