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1001213010432 = 2932585737097
BaseRepresentation
bin11101001000111001111…
…00100010001000000000
310112201022020220201222100
432210130330202020000
5112400441012313212
62043541221310400
7132222664112415
oct16443474421000
93481266821870
101001213010432
11356680708658
12142060265400
137354c696bab
143665d5a210c
151b09cec1bdc
hexe91cf22200

1001213010432 has 120 divisors (see below), whose sum is σ = 2890139797116. Its totient is φ = 333671694336.

The previous prime is 1001213010383. The next prime is 1001213010433. The reversal of 1001213010432 is 2340103121001.

1001213010432 is a `hidden beast` number, since 10 + 0 + 1 + 213 + 0 + 10 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 987908772096 + 13304238336 = 993936^2 + 115344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1001213010433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26970508 + ... + 27007604.

Almost surely, 21001213010432 is an apocalyptic number.

1001213010432 is a gapful number since it is divisible by the number (12) 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 1001213010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445069898558).

1001213010432 is an abundant number, since it is smaller than the sum of its proper divisors (1888926786684).

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

1001213010432 is an equidigital number, since it uses as much as digits as its factorization.

1001213010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42978 (or 42959 counting only the distinct ones).

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

Adding to 1001213010432 its reverse (2340103121001), we get a palindrome (3341316131433).

The spelling of 1001213010432 in words is "one trillion, one billion, two hundred thirteen million, ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 5857 11714 17571 23428 35142 37097 46856 52713 70284 74194 93712 105426 111291 140568 148388 187424 210852 222582 281136 296776 333873 374848 421704 445164 562272 593552 667746 749696 843408 890328 1124544 1187104 1335492 1499392 1686816 1780656 2249088 2374208 2670984 2998784 3373632 3561312 4498176 4748416 5341968 6747264 7122624 8996352 9496832 10683936 13494528 14245248 18993664 21367872 26989056 28490496 42735744 56980992 85471488 170942976 217277129 434554258 651831387 869108516 1303662774 1738217032 1955494161 2607325548 3476434064 3910988322 5214651096 6952868128 7821976644 10429302192 13905736256 15643953288 20858604384 27811472512 31287906576 41717208768 55622945024 62575813152 83434417536 111245890048 125151626304 166868835072 250303252608 333737670144 500606505216 1001213010432