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1220003131 = 53131199883
BaseRepresentation
bin100100010110111…
…1100010100111011
310011000122120200011
41020231330110323
54444310100011
6321020522351
742142566304
oct11055742473
93130576604
101220003131
11576729456
122a06b03b7
131659a9159
14b80597ab
157218c621
hex48b7c53b

1220003131 has 16 divisors (see below), whose sum is σ = 1260230400. Its totient is φ = 1180539360.

The previous prime is 1220003119. The next prime is 1220003143. The reversal of 1220003131 is 1313000221.

It is an interprime number because it is at equal distance from previous prime (1220003119) and next prime (1220003143).

It is a cyclic number.

It is not a de Polignac number, because 1220003131 - 215 = 1219970363 is a prime.

It is a super-2 number, since 2×12200031312 = 2976815279299606322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1220003231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381216 + ... + 1382098.

It is an arithmetic number, because the mean of its divisors is an integer number (78764400).

Almost surely, 21220003131 is an apocalyptic number.

1220003131 is a deficient number, since it is larger than the sum of its proper divisors (40227269).

1220003131 is a wasteful number, since it uses less digits than its factorization.

1220003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1220003131 is about 34928.5432132518. The cubic root of 1220003131 is about 1068.5306442373.

Adding to 1220003131 its reverse (1313000221), we get a palindrome (2533003352).

The spelling of 1220003131 in words is "one billion, two hundred twenty million, three thousand, one hundred thirty-one".

Divisors: 1 53 131 199 883 6943 10547 26069 46799 115673 175717 1381657 6130669 9313001 23018927 1220003131