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1000022443002 = 23211192231192027
BaseRepresentation
bin11101000110101011111…
…10111000001111111010
310112121020021122122111100
432203111332320033322
5112341021221134002
62043223131312230
7132151326341352
oct16432576701772
93477207578440
101000022443002
1135611a664730
121419895ab676
13733bcb25c1b
1436589409b62
151b02d6eb11c
hexe8d5fb83fa

1000022443002 has 96 divisors (see below), whose sum is σ = 2499253585920. Its totient is φ = 285800153760.

The previous prime is 1000022442997. The next prime is 1000022443009. The reversal of 1000022443002 is 2003442200001.

1000022443002 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 224 + 430 + 0 + 2 = 666.

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 (1000022443009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242913 + ... + 1434939.

It is an arithmetic number, because the mean of its divisors is an integer number (26033891520).

Almost surely, 21000022443002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000022443002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249626792960).

1000022443002 is an abundant number, since it is smaller than the sum of its proper divisors (1499231142918).

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

1000022443002 is a wasteful number, since it uses less digits than its factorization.

1000022443002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192288 (or 1192285 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1000022443002 its reverse (2003442200001), we get a palindrome (3003464643003).

The spelling of 1000022443002 in words is "one trillion, twenty-two million, four hundred forty-three thousand, two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 223 342 418 446 627 669 1254 1338 1881 2007 2453 3762 4014 4237 4906 7359 8474 12711 14718 22077 25422 38133 44154 46607 76266 93214 139821 279642 419463 838926 1192027 2384054 3576081 7152162 10728243 13112297 21456486 22648513 26224594 39336891 45297026 67945539 78673782 118010673 135891078 203836617 236021346 249133643 265822021 407673234 498267286 531644042 747400929 797466063 1494801858 1594932126 2242202787 2392398189 2924042231 4484405574 4784796378 5050618399 5848084462 8772126693 10101236798 15151855197 17544253386 26316380079 30303710394 45455565591 52632760158 55556802389 90911131182 111113604778 166670407167 333340814334 500011221501 1000022443002