Search a number
-
+
100111211310 = 23511303367307
BaseRepresentation
bin101110100111100010…
…1111101101100101110
3100120101220220110111010
41131033011331230232
53120011432230220
6113553534410050
710142564153505
oct1351705755456
9316356813433
10100111211310
1139503194880
121749b060926
13959587a256
144bb9b2d83c
15290dda61e0
hex174f17db2e

100111211310 has 32 divisors (see below), whose sum is σ = 262109354112. Its totient is φ = 24269384480.

The previous prime is 100111211273. The next prime is 100111211323. The reversal of 100111211310 is 13112111001.

It is a super-2 number, since 2×1001112113102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 151683324 + ... + 151683983.

It is an arithmetic number, because the mean of its divisors is an integer number (8190917316).

Almost surely, 2100111211310 is an apocalyptic number.

100111211310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111211310 is an abundant number, since it is smaller than the sum of its proper divisors (161998142802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111211310 is a wasteful number, since it uses less digits than its factorization.

100111211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303367328.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100111211310 its reverse (13112111001), we get a palindrome (113223322311).

The spelling of 100111211310 in words is "one hundred billion, one hundred eleven million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 303367307 606734614 910101921 1516836535 1820203842 3033673070 3337040377 4550509605 6674080754 9101019210 10011121131 16685201885 20022242262 33370403770 50055605655 100111211310