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20121021032 = 2378912233301
BaseRepresentation
bin10010101111010011…
…100110101001101000
31220221021020202220012
4102233103212221220
5312201440133112
613124331151052
71311421566620
oct225723465150
956837222805
1020121021032
118595878a02
123a965a5488
131b8879b508
14d8c3c9880
157cb6c4022
hex4af4e6a68

20121021032 has 64 divisors (see below), whose sum is σ = 43649798400. Its totient is φ = 8516851200.

The previous prime is 20121021031. The next prime is 20121021059. The reversal of 20121021032 is 23012012102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20121020998 and 20121021016.

It is not an unprimeable number, because it can be changed into a prime (20121021031) 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, 6093782 + ... + 6097082.

It is an arithmetic number, because the mean of its divisors is an integer number (682028100).

Almost surely, 220121021032 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 20121021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21824899200).

20121021032 is an abundant number, since it is smaller than the sum of its proper divisors (23528777368).

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

20121021032 is a wasteful number, since it uses less digits than its factorization.

20121021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20121021032 its reverse (23012012102), we get a palindrome (43133033134).

The spelling of 20121021032 in words is "twenty billion, one hundred twenty-one million, twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 1223 1246 2446 2492 3301 4892 4984 6602 8561 9784 13204 17122 23107 26408 34244 46214 68488 92428 108847 184856 217694 293789 435388 587578 761929 870776 1175156 1523858 2056523 2350312 3047716 4037123 4113046 6095432 8074246 8226092 16148492 16452184 28259861 32296984 56519722 113039444 226078888 359303947 718607894 1437215788 2515127629 2874431576 5030255258 10060510516 20121021032