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20002121232 = 2437926919609
BaseRepresentation
bin10010101000001110…
…000010011000010000
31220121222112001000220
4102220032002120100
5311431020334412
613104442513040
71305446140152
oct225016023020
956558461026
1020002121232
118534748805
123a62805780
131b69c6b2c2
14d7a6b8ad2
157c103968c
hex4a8382610

20002121232 has 80 divisors (see below), whose sum is σ = 52523424000. Its totient is φ = 6558170112.

The previous prime is 20002121231. The next prime is 20002121261. The reversal of 20002121232 is 23212120002.

It is a happy number.

It is a super-4 number, since 4×200021212324 (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (20002121231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010244 + ... + 1029852.

It is an arithmetic number, because the mean of its divisors is an integer number (656542800).

Almost surely, 220002121232 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 20002121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26261712000).

20002121232 is an abundant number, since it is smaller than the sum of its proper divisors (32521302768).

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

20002121232 is a wasteful number, since it uses less digits than its factorization.

20002121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19968 (or 19962 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20002121232 its reverse (23212120002), we get a palindrome (43214241234).

The spelling of 20002121232 in words is "twenty billion, two million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 269 316 474 538 632 807 948 1076 1264 1614 1896 2152 3228 3792 4304 6456 12912 19609 21251 39218 42502 58827 63753 78436 85004 117654 127506 156872 170008 235308 255012 313744 340016 470616 510024 941232 1020048 1549111 3098222 4647333 5274821 6196444 9294666 10549642 12392888 15824463 18589332 21099284 24785776 31648926 37178664 42198568 63297852 74357328 84397136 126595704 253191408 416710859 833421718 1250132577 1666843436 2500265154 3333686872 5000530308 6667373744 10001060616 20002121232