Search a number
-
+
1012002031100 = 225222345381257
BaseRepresentation
bin11101011101000000000…
…01011000010111111100
310120202011011100202222102
432232200001120113330
5113040040004443400
62052523551404232
7133054232222234
oct16564001302774
93522134322872
101012002031100
11360207844565
12144171523678
137457b9919a8
1436da4432cc4
151b4d02889d5
hexeba00585fc

1012002031100 has 36 divisors (see below), whose sum is σ = 2205892188864. Its totient is φ = 402985553280.

The previous prime is 1012002031093. The next prime is 1012002031133. The reversal of 1012002031100 is 11302002101.

It is a super-2 number, since 2×10120020311002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22668329 + ... + 22712928.

It is an arithmetic number, because the mean of its divisors is an integer number (61274783024).

Almost surely, 21012002031100 is an apocalyptic number.

1012002031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012002031100 is an abundant number, since it is smaller than the sum of its proper divisors (1193890157764).

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

1012002031100 is a wasteful number, since it uses less digits than its factorization.

1012002031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45381494 (or 45381487 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1012002031100 its reverse (11302002101), we get a palindrome (1023304033201).

The spelling of 1012002031100 in words is "one trillion, twelve billion, two million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223 446 892 1115 2230 4460 5575 11150 22300 45381257 90762514 181525028 226906285 453812570 907625140 1134531425 2269062850 4538125700 10120020311 20240040622 40480081244 50600101555 101200203110 202400406220 253000507775 506001015550 1012002031100