Search a number
-
+
100220101119 = 344723111801
BaseRepresentation
bin101110101010110010…
…1010110000111111111
3100120200111210122020000
41131111211112013333
53120222321213434
6114012424325343
710145355542505
oct1352545260777
9316614718200
10100220101119
11395596a8356
121750b613853
1395b22b41a8
144bca396675
152918714b99
hex17559561ff

100220101119 has 60 divisors (see below), whose sum is σ = 153541687728. Its totient is φ = 65145384000.

The previous prime is 100220101109. The next prime is 100220101243. The reversal of 100220101119 is 911101022001.

It is a happy number.

It is not a de Polignac number, because 100220101119 - 25 = 100220101087 is a prime.

It is a super-2 number, since 2×1002201011192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55646019 + ... + 55647819.

Almost surely, 2100220101119 is an apocalyptic number.

100220101119 is a deficient number, since it is larger than the sum of its proper divisors (53321586609).

100220101119 is an equidigital number, since it uses as much as digits as its factorization.

100220101119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 100220101119 in words is "one hundred billion, two hundred twenty million, one hundred one thousand, one hundred nineteen".

Divisors: 1 3 9 27 47 81 141 311 423 933 1269 1801 2209 2799 3807 5403 6627 8397 14617 16209 19881 25191 43851 48627 59643 84647 131553 145881 178929 253941 394659 560111 686999 761823 1183977 1680333 2060997 2285469 3978409 5040999 6182991 6856407 11935227 15122997 18548973 26325217 35805681 45368991 55646919 78975651 107417043 236926953 322251129 710780859 1237285199 2132342577 3711855597 11135566791 33406700373 100220101119