Search a number
-
+
100101022000223 = 1913140217365207
BaseRepresentation
bin10110110000101010010101…
…110110111010010001011111
3111010102120020100000212021112
4112300222111312322101133
5101110023343113001343
6552521435154452235
730041026433031236
oct2660522566722137
9433376210025245
10100101022000223
1129993672322162
12b2882b989407b
1343b16415c653a
141aa0cb58a9b1d
15b88ccd5d4218
hex5b0a95dba45f

100101022000223 has 8 divisors (see below), whose sum is σ = 106173844149120. Its totient is φ = 94108634582040.

The previous prime is 100101022000219. The next prime is 100101022000307. The reversal of 100101022000223 is 322000220101001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100101022000223 - 22 = 100101022000219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101022000198 and 100101022000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101022008223) 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, 20108680115 + ... + 20108685092.

It is an arithmetic number, because the mean of its divisors is an integer number (13271730518640).

Almost surely, 2100101022000223 is an apocalyptic number.

100101022000223 is a deficient number, since it is larger than the sum of its proper divisors (6072822148897).

100101022000223 is a wasteful number, since it uses less digits than its factorization.

100101022000223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40217365357.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100101022000223 its reverse (322000220101001), we get a palindrome (422101242101224).

The spelling of 100101022000223 in words is "one hundred trillion, one hundred one billion, twenty-two million, two hundred twenty-three", and thus it is an aban number.

Divisors: 1 19 131 2489 40217365207 764129938933 5268474842117 100101022000223