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1000204331022 = 2321329257573511
BaseRepresentation
bin11101000111000001101…
…00101110100000001110
310112121200221220111221200
432203200310232200032
5112341404302043042
62043253150010330
7132155665352211
oct16434064564016
93477627814850
101000204331022
113562032a6906
12141a1a4a69a6
137341b70b280
14365a5635778
151b03e678c4c
hexe8e0d2e80e

1000204331022 has 96 divisors (see below), whose sum is σ = 2423684652480. Its totient is φ = 295986216960.

The previous prime is 1000204330987. The next prime is 1000204331177. The reversal of 1000204331022 is 2201334020001.

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 = 1000204330986 and 1000204331004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457247 + ... + 2030757.

It is an arithmetic number, because the mean of its divisors is an integer number (25246715130).

Almost surely, 21000204331022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000204331022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211842326240).

1000204331022 is an abundant number, since it is smaller than the sum of its proper divisors (1423480321458).

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

1000204331022 is a wasteful number, since it uses less digits than its factorization.

1000204331022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573818 (or 573815 counting only the distinct ones).

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

Adding to 1000204331022 its reverse (2201334020001), we get a palindrome (3201538351023).

The spelling of 1000204331022 in words is "one trillion, two hundred four million, three hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 257 261 377 514 522 754 771 1131 1542 2262 2313 3341 3393 4626 6682 6786 7453 10023 14906 20046 22359 30069 44718 60138 67077 96889 134154 193778 290667 573511 581334 872001 1147022 1720533 1744002 3441066 5161599 7455643 10323198 14911286 16631819 22366929 33263638 44733858 49895457 67100787 99790914 134201574 147392327 149686371 216213647 294784654 299372742 432427294 442176981 648640941 884353962 1297281882 1326530943 1916100251 1945922823 2653061886 3832200502 3891845646 4274377483 5748300753 8548754966 11496601506 12823132449 17244902259 25646264898 34489804518 38469397347 55566907279 76938794694 111133814558 166700721837 333401443674 500102165511 1000204331022