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101023110001 = 1137324621767
BaseRepresentation
bin101111000010101110…
…0100101001101110001
3100122202110210201022201
41132011130211031301
53123343404010001
6114224231503201
710204306160332
oct1360534451561
9318673721281
10101023110001
1139930a03860
12176b4527b01
1396ac77b788
144c64ca6289
152963e83501
hex1785725371

101023110001 has 8 divisors (see below), whose sum is σ = 110502494784. Its totient is φ = 91592969520.

The previous prime is 101023109983. The next prime is 101023110047. The reversal of 101023110001 is 100011320101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101023110001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101023110001.

It is not an unprimeable number, because it can be changed into a prime (101023110061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12306781 + ... + 12314986.

It is an arithmetic number, because the mean of its divisors is an integer number (13812811848).

Almost surely, 2101023110001 is an apocalyptic number.

101023110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101023110001 is a deficient number, since it is larger than the sum of its proper divisors (9479384783).

101023110001 is a wasteful number, since it uses less digits than its factorization.

101023110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24622151.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101023110001 its reverse (100011320101), we get a palindrome (201034430102).

The spelling of 101023110001 in words is "one hundred one billion, twenty-three million, one hundred ten thousand, one".

Divisors: 1 11 373 4103 24621767 270839437 9183919091 101023110001