Search a number
-
+
102013001040 = 2435425054171
BaseRepresentation
bin101111100000001110…
…0101101110101010000
3100202022110110101112210
41133000130231311100
53132410312013130
6114510352352120
710240656126126
oct1370034556520
9322273411483
10102013001040
113a299752625
121792bb45640
139809889612
144d1a541916
1529c0d195b0
hex17c072dd50

102013001040 has 40 divisors (see below), whose sum is σ = 316240303968. Its totient is φ = 27203466880.

The previous prime is 102013001021. The next prime is 102013001047. The reversal of 102013001040 is 40100310201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013001047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212526846 + ... + 212527325.

Almost surely, 2102013001040 is an apocalyptic number.

102013001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013001040 is an abundant number, since it is smaller than the sum of its proper divisors (214227302928).

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

102013001040 is a wasteful number, since it uses less digits than its factorization.

102013001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425054187 (or 425054181 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102013001040 its reverse (40100310201), we get a palindrome (142113311241).

The spelling of 102013001040 in words is "one hundred two billion, thirteen million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 425054171 850108342 1275162513 1700216684 2125270855 2550325026 3400433368 4250541710 5100650052 6375812565 6800866736 8501083420 10201300104 12751625130 17002166840 20402600208 25503250260 34004333680 51006500520 102013001040