Search a number
-
+
101020110219 = 3271657967709
BaseRepresentation
bin101111000010101000…
…1001000110110001011
3100122202021011022101200
41132011101020312023
53123342122011334
6114224043315243
710204241524530
oct1360521106613
9318667138350
10101020110219
113992a244aa6
12176b351bb23
1396abc6b262
144c64724d87
152963a8e799
hex1785448d8b

101020110219 has 24 divisors (see below), whose sum is σ = 166864170720. Its totient is φ = 57690880128.

The previous prime is 101020110203. The next prime is 101020110221. The reversal of 101020110219 is 912011020101.

It is a happy number.

It is not a de Polignac number, because 101020110219 - 24 = 101020110203 is a prime.

It is a super-2 number, since 2×1010201102192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101020110019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379464 + ... + 588245.

It is an arithmetic number, because the mean of its divisors is an integer number (6952673780).

Almost surely, 2101020110219 is an apocalyptic number.

101020110219 is a deficient number, since it is larger than the sum of its proper divisors (65844060501).

101020110219 is a wasteful number, since it uses less digits than its factorization.

101020110219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969379 (or 969376 counting only the distinct ones).

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

The spelling of 101020110219 in words is "one hundred one billion, twenty million, one hundred ten thousand, two hundred nineteen".

Divisors: 1 3 7 9 21 63 1657 4971 11599 14913 34797 104391 967709 2903127 6773963 8709381 20321889 60965667 1603493813 4810481439 11224456691 14431444317 33673370073 101020110219