Search a number
-
+
10001023000001 = 1119291650061541
BaseRepresentation
bin1001000110001000101101…
…1011000101110111000001
31022102002101111012001000022
42101202023123011313001
52302324043342000001
633134223451303225
72051356446610505
oct221421333056701
938362344161008
1010001023000001
113206456837070
12115632244ab15
13577128089477
142680a2d46305
15125239b6911b
hex9188b6c5dc1

10001023000001 has 16 divisors (see below), whose sum is σ = 11880443102400. Its totient is φ = 8316310161600.

The previous prime is 10001022999973. The next prime is 10001023000049. The reversal of 10001023000001 is 10000032010001.

It is a cyclic number.

It is not a de Polignac number, because 10001023000001 - 210 = 10001022998977 is a prime.

It is a super-2 number, since 2×100010230000012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001023000601) 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, 825024710 + ... + 825036831.

It is an arithmetic number, because the mean of its divisors is an integer number (742527693900).

Almost surely, 210001023000001 is an apocalyptic number.

10001023000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001023000001 is a deficient number, since it is larger than the sum of its proper divisors (1879420102399).

10001023000001 is a wasteful number, since it uses less digits than its factorization.

10001023000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650061600.

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

Adding to 10001023000001 its reverse (10000032010001), we get a palindrome (20001055010002).

The spelling of 10001023000001 in words is "ten trillion, one billion, twenty-three million, one", and thus it is an aban number and an uban number.

Divisors: 1 11 19 29 209 319 551 6061 1650061541 18150676951 31351169279 47851784689 344862862069 526369631579 909183909091 10001023000001