Search a number
-
+
100031021000 = 2353412439781
BaseRepresentation
bin101110100101001010…
…0000011111111001000
3100120012100000101001122
41131022110003333020
53114330420133000
6113541551534412
710140601435511
oct1351224037710
9316170011048
10100031021000
11394719a3699
121747822a408
139582081371
144bad217a08
152906d16085
hex174a503fc8

100031021000 has 64 divisors (see below), whose sum is σ = 239781774960. Its totient is φ = 39036480000.

The previous prime is 100031020967. The next prime is 100031021003. The reversal of 100031021000 is 120130001.

It can be written as a sum of positive squares in 8 ways, for example, as 4978431364 + 95052589636 = 70558^2 + 308306^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100031021003) 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, 1178891 + ... + 1260890.

Almost surely, 2100031021000 is an apocalyptic number.

100031021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031021000 is an abundant number, since it is smaller than the sum of its proper divisors (139750753960).

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

100031021000 is a wasteful number, since it uses less digits than its factorization.

100031021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439843 (or 2439829 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100031021000 its reverse (120130001), we get a palindrome (100151151001).

The spelling of 100031021000 in words is "one hundred billion, thirty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 2439781 4879562 9759124 12198905 19518248 24397810 48795620 60994525 97591240 100031021 121989050 200062042 243978100 304972625 400124084 487956200 500155105 609945250 800248168 1000310210 1219890500 2000620420 2439781000 2500775525 4001240840 5001551050 10003102100 12503877625 20006204200 25007755250 50015510500 100031021000