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3142513100 = 2252435313789
BaseRepresentation
bin1011101101001110…
…1111000111001100
322010000012012120002
42323103233013030
522413440404400
61235454543432
7140605630526
oct27323570714
98100165502
103142513100
111372959671
12738507b78
133b109170c
1421b502a16
15135d44ed5
hexbb4ef1cc

3142513100 has 72 divisors (see below), whose sum is σ = 7110013680. Its totient is φ = 1204519680.

The previous prime is 3142513063. The next prime is 3142513111. The reversal of 3142513100 is 13152413.

It is a super-2 number, since 2×31425131002 = 19750777167343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221006 + ... + 234794.

It is an arithmetic number, because the mean of its divisors is an integer number (98750190).

Almost surely, 23142513100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555006840).

3142513100 is an abundant number, since it is smaller than the sum of its proper divisors (3967500580).

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

3142513100 is a wasteful number, since it uses less digits than its factorization.

3142513100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13899 (or 13892 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 3142513100 is about 56058.1225158317. The cubic root of 3142513100 is about 1464.7349091495.

Adding to 3142513100 its reverse (13152413), we get a palindrome (3155665513).

The spelling of 3142513100 in words is "three billion, one hundred forty-two million, five hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 53 86 100 106 172 212 215 265 430 530 860 1060 1075 1325 2150 2279 2650 4300 4558 5300 9116 11395 13789 22790 27578 45580 55156 56975 68945 113950 137890 227900 275780 344725 592927 689450 730817 1185854 1378900 1461634 2371708 2923268 2964635 3654085 5929270 7308170 11858540 14616340 14823175 18270425 29646350 31425131 36540850 59292700 62850262 73081700 125700524 157125655 314251310 628502620 785628275 1571256550 3142513100