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1215013000 = 23532941897
BaseRepresentation
bin100100001101011…
…1010000010001000
310010200021001111111
41020122322002020
54442020404000
6320321540104
742052303645
oct11032720210
93120231444
101215013000
11573930283
1229aaa4634
1316494ca06
14b751adcc
1571a03cba
hex486ba088

1215013000 has 64 divisors (see below), whose sum is σ = 2941239600. Its totient is φ = 469235200.

The previous prime is 1215012991. The next prime is 1215013021. The reversal of 1215013000 is 3105121.

It can be written as a sum of positive squares in 8 ways, for example, as 100922116 + 1114090884 = 10046^2 + 33378^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8052 + ... + 49948.

Almost surely, 21215013000 is an apocalyptic number.

1215013000 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 1215013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470619800).

1215013000 is an abundant number, since it is smaller than the sum of its proper divisors (1726226600).

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

1215013000 is a wasteful number, since it uses less digits than its factorization.

1215013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41947 (or 41933 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1215013000 is about 34857.0365923439. The cubic root of 1215013000 is about 1067.0717970629.

Adding to 1215013000 its reverse (3105121), we get a palindrome (1218118121).

It can be divided in two parts, 121 and 5013000, that added together give a square (5013121 = 22392).

The spelling of 1215013000 in words is "one billion, two hundred fifteen million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 41897 83794 167588 209485 335176 418970 837940 1047425 1215013 1675880 2094850 2430026 4189700 4860052 5237125 6075065 8379400 9720104 10474250 12150130 20948500 24300260 30375325 41897000 48600520 60750650 121501300 151876625 243002600 303753250 607506500 1215013000