Search a number
-
+
1010021233122 = 2321116133162503
BaseRepresentation
bin11101011001010011111…
…01001111000111100010
310120120001010010210222100
432230221331033013202
5113022010413424442
62051555232151230
7132654160554066
oct16545175170742
93516033123870
101010021233122
1135a390722740
121438ba098516
13743244ab795
1436c57335aa6
151b41641a84c
hexeb29f4f1e2

1010021233122 has 48 divisors (see below), whose sum is σ = 2388803721408. Its totient is φ = 305877193440.

The previous prime is 1010021233099. The next prime is 1010021233181. The reversal of 1010021233122 is 2213321200101.

1010021233122 is a `hidden beast` number, since 1 + 0 + 100 + 212 + 331 + 22 = 666.

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 = 1010021233095 and 1010021233104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261878 + ... + 1900625.

It is an arithmetic number, because the mean of its divisors is an integer number (49766744196).

Almost surely, 21010021233122 is an apocalyptic number.

1010021233122 is an abundant number, since it is smaller than the sum of its proper divisors (1378782488286).

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

1010021233122 is a wasteful number, since it uses less digits than its factorization.

1010021233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164135 (or 3164132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010021233122 its reverse (2213321200101), we get a palindrome (3223342433223).

The spelling of 1010021233122 in words is "one trillion, ten billion, twenty-one million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1613 3226 4839 9678 14517 17743 29034 35486 53229 106458 159687 319374 3162503 6325006 9487509 18975018 28462527 34787533 56925054 69575066 104362599 208725198 313087797 626175594 5101117339 10202234678 15303352017 30606704034 45910056051 56112290729 91820112102 112224581458 168336872187 336673744374 505010616561 1010021233122