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421211120 = 24511653733
BaseRepresentation
bin11001000110110…
…010101111110000
31002100120202000212
4121012302233300
51330312223440
6105444003252
713303143521
oct3106625760
91070522025
10421211120
111a6843170
12b9090528
136935a065
143dd26848
1526ea3465
hex191b2bf0

421211120 has 80 divisors (see below), whose sum is σ = 1071440352. Its totient is φ = 152724480.

The previous prime is 421211099. The next prime is 421211123. The reversal of 421211120 is 21112124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4212111202 = 354837615223308800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421211095 and 421211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421211123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574274 + ... + 575006.

Almost surely, 2421211120 is an apocalyptic number.

421211120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535720176).

421211120 is an abundant number, since it is smaller than the sum of its proper divisors (650229232).

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

421211120 is a wasteful number, since it uses less digits than its factorization.

421211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 421211120 is about 20523.4285634735. The cubic root of 421211120 is about 749.6063830867.

Adding to 421211120 its reverse (21112124), we get a palindrome (442323244).

The spelling of 421211120 in words is "four hundred twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 653 733 880 1306 1466 2612 2932 3265 3665 5224 5864 6530 7183 7330 8063 10448 11728 13060 14366 14660 16126 26120 28732 29320 32252 35915 40315 52240 57464 58640 64504 71830 80630 114928 129008 143660 161260 287320 322520 478649 574640 645040 957298 1914596 2393245 3829192 4786490 5265139 7658384 9572980 10530278 19145960 21060556 26325695 38291920 42121112 52651390 84242224 105302780 210605560 421211120