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20122132032 = 263261356989
BaseRepresentation
bin10010101111010111…
…110101111001000000
31220221100100012220100
4102233113311321000
5312202231211112
613124411042400
71311434204652
oct225727657100
956840305810
1020122132032
118596467692
123a96a40400
131b88a9a102
14d8c5d86d2
157cb8432dc
hex4af5f5e40

20122132032 has 84 divisors (see below), whose sum is σ = 57771560860. Its totient is φ = 6696317952.

The previous prime is 20122132031. The next prime is 20122132139. The reversal of 20122132032 is 23023122102.

It can be written as a sum of positive squares in 2 ways, for example, as 7120659456 + 13001472576 = 84384^2 + 114024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20122131996 and 20122132014.

It is not an unprimeable number, because it can be changed into a prime (20122132031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324594 + ... + 381582.

Almost surely, 220122132032 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 20122132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28885780430).

20122132032 is an abundant number, since it is smaller than the sum of its proper divisors (37649428828).

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

20122132032 is a wasteful number, since it uses less digits than its factorization.

20122132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57620 (or 57607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20122132032 its reverse (23023122102), we get a palindrome (43145254134).

The spelling of 20122132032 in words is "twenty billion, one hundred twenty-two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 613 1226 1839 2452 3678 4904 5517 7356 9808 11034 14712 19616 22068 29424 39232 44136 56989 58848 88272 113978 117696 170967 176544 227956 341934 353088 455912 512901 683868 911824 1025802 1367736 1823648 2051604 2735472 3647296 4103208 5470944 8206416 10941888 16412832 32825664 34934257 69868514 104802771 139737028 209605542 279474056 314408313 419211084 558948112 628816626 838422168 1117896224 1257633252 1676844336 2235792448 2515266504 3353688672 5030533008 6707377344 10061066016 20122132032