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1004031213100 = 2252101123780363
BaseRepresentation
bin11101001110001001110…
…11000111111000101100
310112222120122212021020221
432213010323013320230
5112422223442304400
62045125013221124
7132352554332626
oct16470473077054
93488518767227
101004031213100
11357897498a73
121427080317a4
13738ab4c8436
14368499a3c16
151b1b5604c1a
hexe9c4ec7e2c

1004031213100 has 72 divisors (see below), whose sum is σ = 2202125648688. Its totient is φ = 397309728000.

The previous prime is 1004031213079. The next prime is 1004031213131. The reversal of 1004031213100 is 13121304001.

It is a super-2 number, since 2×10040312131002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12453519 + ... + 12533881.

It is an arithmetic number, because the mean of its divisors is an integer number (30585078454).

Almost surely, 21004031213100 is an apocalyptic number.

1004031213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004031213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101062824344).

1004031213100 is an abundant number, since it is smaller than the sum of its proper divisors (1198094435588).

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

1004031213100 is a wasteful number, since it uses less digits than its factorization.

1004031213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81715 (or 81708 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1004031213100 its reverse (13121304001), we get a palindrome (1017152517101).

Subtracting from 1004031213100 its reverse (13121304001), we obtain a palindrome (990909909099).

The spelling of 1004031213100 in words is "one trillion, four billion, thirty-one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 1237 2020 2474 2525 4948 5050 6185 10100 12370 24740 30925 61850 80363 123700 124937 160726 249874 321452 401815 499748 624685 803630 1249370 1607260 2009075 2498740 3123425 4018150 6246850 8036300 8116663 12493700 16233326 32466652 40583315 81166630 99409031 162333260 198818062 202916575 397636124 405833150 497045155 811666300 994090310 1988180620 2485225775 4970451550 9940903100 10040312131 20080624262 40161248524 50201560655 100403121310 200806242620 251007803275 502015606550 1004031213100