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212021120032 = 2554130614001
BaseRepresentation
bin1100010101110101110…
…0011000110000100000
3202021021010010212002021
43011131130120300200
511433204401320112
6241222352231224
721214036533121
oct3053534306040
9667233125067
10212021120032
1181a10438647
123511153b514
1316cbb969b57
14a39483a048
1557ad9b7907
hex315d718c20

212021120032 has 48 divisors (see below), whose sum is σ = 418429318104. Its totient is φ = 105753600000.

The previous prime is 212021120021. The next prime is 212021120093. The reversal of 212021120032 is 230021120212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 171525192336 + 40495927696 = 414156^2 + 201236^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212021119988 and 212021120015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52990032 + ... + 52994032.

Almost surely, 2212021120032 is an apocalyptic number.

It is an amenable number.

212021120032 is a deficient number, since it is larger than the sum of its proper divisors (206408198072).

212021120032 is a wasteful number, since it uses less digits than its factorization.

212021120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212021120032 its reverse (230021120212), we get a palindrome (442042240244).

The spelling of 212021120032 in words is "two hundred twelve billion, twenty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 541 1082 2164 3061 4001 4328 6122 8002 8656 12244 16004 17312 24488 32008 48976 64016 97952 128032 1656001 2164541 3312002 4329082 6624004 8658164 12247061 13248008 17316328 24494122 26496016 34632656 48988244 52992032 69265312 97976488 195952976 391905952 6625660001 13251320002 26502640004 53005280008 106010560016 212021120032