Search a number
-
+
100045211420 = 22571164964423
BaseRepresentation
bin101110100101100101…
…0001100011100011100
3100120020022201022122202
41131023022030130130
53114343033231140
6113543220031032
710141133160140
oct1351312143434
9316208638582
10100045211420
1139479a06110
1217480b32478
139584cac36b
144bb106d220
1529081ba915
hex174b28c71c

100045211420 has 48 divisors (see below), whose sum is σ = 261936557568. Its totient is φ = 31182922560.

The previous prime is 100045211407. The next prime is 100045211467. The reversal of 100045211420 is 24112540001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100045211392 and 100045211401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32480672 + ... + 32483751.

It is an arithmetic number, because the mean of its divisors is an integer number (5457011616).

Almost surely, 2100045211420 is an apocalyptic number.

100045211420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100045211420 is an abundant number, since it is smaller than the sum of its proper divisors (161891346148).

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

100045211420 is a wasteful number, since it uses less digits than its factorization.

100045211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64964450 (or 64964448 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 100045211420 its reverse (24112540001), we get a palindrome (124157751421).

The spelling of 100045211420 in words is "one hundred billion, forty-five million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 64964423 129928846 259857692 324822115 454750961 649644230 714608653 909501922 1299288460 1429217306 1819003844 2273754805 2858434612 3573043265 4547509610 5002260571 7146086530 9095019220 10004521142 14292173060 20009042284 25011302855 50022605710 100045211420