Search a number
-
+
10010010000 = 24354333667
BaseRepresentation
bin10010101001010010…
…01010000110010000
3221211121121012021010
421110221022012100
5131000030310000
64333141130520
7503025452424
oct112451120620
927747535233
1010010010000
114277431741
121b343b9a40
13c36ab3753
146ad60ab84
153d8bd8d50
hex254a4a190

10010010000 has 100 divisors (see below), whose sum is σ = 32313743792. Its totient is φ = 2669328000.

The previous prime is 10010009987. The next prime is 10010010013. The reversal of 10010010000 is 1001001.

It is an interprime number because it is at equal distance from previous prime (10010009987) and next prime (10010010013).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136834 + ... + 196833.

Almost surely, 210010010000 is an apocalyptic number.

10010010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010010000 is an abundant number, since it is smaller than the sum of its proper divisors (22303733792).

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

10010010000 is an equidigital number, since it uses as much as digits as its factorization.

10010010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333698 (or 333677 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10010010000 its reverse (1001001), we get a palindrome (10011011001).

10010010000 divided by its reverse (1001001) gives a 4-th power (10000 = 104).

The spelling of 10010010000 in words is "ten billion, ten million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 333667 667334 1001001 1334668 1668335 2002002 2669336 3336670 4004004 5005005 5338672 6673340 8008008 8341675 10010010 13346680 16016016 16683350 20020020 25025025 26693360 33366700 40040040 41708375 50050050 66733400 80080080 83416750 100100100 125125125 133466800 166833500 200200200 208541875 250250250 333667000 400400400 417083750 500500500 625625625 667334000 834167500 1001001000 1251251250 1668335000 2002002000 2502502500 3336670000 5005005000 10010010000