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1010220031232 = 28191006920627
BaseRepresentation
bin11101011001101011100…
…11100101110100000000
310120120112222012210201022
432230311303211310000
5113022412311444412
62052031053125012
7132662123404316
oct16546563456400
93516488183638
101010220031232
1135a4829646a5
12143954789768
13743567349b9
1436c758c40b6
151b428ad8a72
hexeb35ce5d00

1010220031232 has 72 divisors (see below), whose sum is σ = 2122938871200. Its totient is φ = 478454556672.

The previous prime is 1010220031207. The next prime is 1010220031241. The reversal of 1010220031232 is 2321300220101.

1010220031232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1010220031232.

It is a congruent number.

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, 48965303 + ... + 48985929.

It is an arithmetic number, because the mean of its divisors is an integer number (29485262100).

Almost surely, 21010220031232 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 1010220031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061469435600).

1010220031232 is an abundant number, since it is smaller than the sum of its proper divisors (1112718839968).

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

1010220031232 is a wasteful number, since it uses less digits than its factorization.

1010220031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30731 (or 30717 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1010220031232 its reverse (2321300220101), we get a palindrome (3331520251333).

The spelling of 1010220031232 in words is "one trillion, ten billion, two hundred twenty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 10069 20138 20627 40276 41254 80552 82508 161104 165016 191311 322208 330032 382622 391913 644416 660064 765244 783826 1288832 1320128 1530488 1567652 2577664 2640256 3060976 3135304 5280512 6121952 6270608 12243904 12541216 24487808 25082432 48975616 50164864 100329728 207693263 415386526 830773052 1661546104 3323092208 3946171997 6646184416 7892343994 13292368832 15784687988 26584737664 31569375976 53169475328 63138751952 126277503904 252555007808 505110015616 1010220031232