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21232121232 = 2437421150097
BaseRepresentation
bin10011110001100010…
…000111010110010000
32000210200222111211110
4103301202013112100
5321440410334412
613430502013320
71351103024040
oct236142072620
960720874743
1021232121232
119005a84a33
124146717240
132004a3775a
141055bb7720
15843eedd3c
hex4f1887590

21232121232 has 80 divisors (see below), whose sum is σ = 62834625152. Its totient is φ = 6051870720.

The previous prime is 21232121213. The next prime is 21232121249. The reversal of 21232121232 is 23212123212.

21232121232 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 21232121199 and 21232121208.

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, 66408 + ... + 216504.

Almost surely, 221232121232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21232121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31417312576).

21232121232 is an abundant number, since it is smaller than the sum of its proper divisors (41602503920).

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

21232121232 is a wasteful number, since it uses less digits than its factorization.

21232121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150536 (or 150530 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 21232121232 its reverse (23212123212), we get a palindrome (44444244444).

The spelling of 21232121232 in words is "twenty-one billion, two hundred thirty-two million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 421 842 1263 1684 2526 2947 3368 5052 5894 6736 8841 10104 11788 17682 20208 23576 35364 47152 70728 141456 150097 300194 450291 600388 900582 1050679 1200776 1801164 2101358 2401552 3152037 3602328 4202716 6304074 7204656 8405432 12608148 16810864 25216296 50432592 63190837 126381674 189572511 252763348 379145022 442335859 505526696 758290044 884671718 1011053392 1327007577 1516580088 1769343436 2654015154 3033160176 3538686872 5308030308 7077373744 10616060616 21232121232