Search a number
-
+
101300122120323 = 37257110631135333
BaseRepresentation
bin10111000010000111000101…
…110010110111000010000011
3111021200012022200110100002210
4113002013011302313002003
5101234200122230322243
6555240344511513203
730223456313625600
oct2702070562670203
9437605280410083
10101300122120323
112a306160059155
12b440785b28803
13446a73962a419
141b02d486a96a7
15baa0ae2b8933
hex5c21c5cb7083

101300122120323 has 48 divisors (see below), whose sum is σ = 157541924956416. Its totient is φ = 57729997321920.

The previous prime is 101300122120217. The next prime is 101300122120363. The reversal of 101300122120323 is 323021221003101.

It is not a de Polignac number, because 101300122120323 - 221 = 101300120023171 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101300122120323.

It is not an unprimeable number, because it can be changed into a prime (101300122120363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88657365 + ... + 89792697.

It is an arithmetic number, because the mean of its divisors is an integer number (3282123436592).

Almost surely, 2101300122120323 is an apocalyptic number.

101300122120323 is a deficient number, since it is larger than the sum of its proper divisors (56241802836093).

101300122120323 is a wasteful number, since it uses less digits than its factorization.

101300122120323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136984 (or 1136977 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101300122120323 its reverse (323021221003101), we get a palindrome (424321343123424).

The spelling of 101300122120323 in words is "one hundred one trillion, three hundred billion, one hundred twenty-two million, one hundred twenty thousand, three hundred twenty-three".

Divisors: 1 3 7 21 49 147 571 1063 1713 3189 3997 7441 11991 22323 27979 52087 83937 156261 606973 1135333 1820919 3405999 4248811 7947331 12746433 23841993 29741677 55631317 89225031 166893951 648275143 1206858979 1944825429 3620576937 4537926001 8448012853 13613778003 25344038559 31765482007 59136089971 95296446021 177408269913 689116477009 2067349431027 4823815339063 14471446017189 33766707373441 101300122120323