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1310001220 = 2251118793169
BaseRepresentation
bin100111000010101…
…0000100001000100
310101021222221211201
41032011100201010
510140330014340
6333553512244
744314553353
oct11605204104
93337887751
101310001220
11612509340
12306872684
1317b52a268
14c5da599a
157a01879a
hex4e150844

1310001220 has 48 divisors (see below), whose sum is σ = 3003638400. Its totient is φ = 475960320.

The previous prime is 1310001211. The next prime is 1310001221. The reversal of 1310001220 is 221000131.

It is a super-2 number, since 2×13100012202 = 3432206392802976800, which contains 22 as substring.

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 = 1310001197 and 1310001206.

It is not an unprimeable number, because it can be changed into a prime (1310001221) 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, 411796 + ... + 414964.

It is an arithmetic number, because the mean of its divisors is an integer number (62575800).

Almost surely, 21310001220 is an apocalyptic number.

1310001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310001220 is an abundant number, since it is smaller than the sum of its proper divisors (1693637180).

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

1310001220 is a wasteful number, since it uses less digits than its factorization.

1310001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5066 counting only the distinct ones).

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

The square root of 1310001220 is about 36193.9389953622. The cubic root of 1310001220 is about 1094.1845210338.

Adding to 1310001220 its reverse (221000131), we get a palindrome (1531001351).

The spelling of 1310001220 in words is "one billion, three hundred ten million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1879 3169 3758 6338 7516 9395 12676 15845 18790 20669 31690 34859 37580 41338 63380 69718 82676 103345 139436 174295 206690 348590 413380 697180 5954551 11909102 23818204 29772755 59545510 65500061 119091020 131000122 262000244 327500305 655000610 1310001220