Search a number
-
+
100120112010201 = 36712740129633301
BaseRepresentation
bin10110110000111100000111…
…101101100001001111011001
3111010111101111202020211220010
4112300330013231201033121
5101110331442133311301
6552534313335552133
730042303465321063
oct2660740755411731
9433441452224803
10100120112010201
11299a0779116208
12b28bb46b2b649
1343b33945ba62a
141aa1ba6d94733
15b895494ed5d6
hex5b0f07b613d9

100120112010201 has 64 divisors (see below), whose sum is σ = 136980956676096. Its totient is φ = 65028458880000.

The previous prime is 100120112010151. The next prime is 100120112010241. The reversal of 100120112010201 is 102010211021001.

It is not a de Polignac number, because 100120112010201 - 211 = 100120112008153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100120112010241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30330235251 + ... + 30330238551.

It is an arithmetic number, because the mean of its divisors is an integer number (2140327448064).

Almost surely, 2100120112010201 is an apocalyptic number.

It is an amenable number.

100120112010201 is a deficient number, since it is larger than the sum of its proper divisors (36860844665895).

100120112010201 is a wasteful number, since it uses less digits than its factorization.

100120112010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100120112010201 its reverse (102010211021001), we get a palindrome (202130323031202).

The spelling of 100120112010201 in words is "one hundred trillion, one hundred twenty billion, one hundred twelve million, ten thousand, two hundred one".

Divisors: 1 3 67 127 201 381 401 1203 2963 3301 8509 8889 9903 25527 26867 50927 80601 152781 198521 221167 376301 419227 595563 663501 1128903 1188163 1257681 1323701 3412109 3564489 3971103 9780863 10236327 25212167 28088209 29342589 75636501 79606921 84264627 88687967 150896701 168110027 238820763 266063901 452690103 504330081 655317821 1242169601 1965953463 3726508803 3922126063 10110078967 11263371809 11766378189 30330236901 33790115427 83225363267 249676089801 262782446221 498110010001 788347338663 1494330030003 33373370670067 100120112010201