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1042413142200 = 2335210117201537
BaseRepresentation
bin11110010101101001010…
…10100100000010111000
310200122122120020021202120
433022310222210002320
5114034330231022300
62114513351201240
7135211653340563
oct17126452440270
93618576207676
101042413142200
113720a3052431
1214a03a076220
13773b72888a1
143864b2d54da
151c1b001d3a0
hexf2b4aa40b8

1042413142200 has 96 divisors (see below), whose sum is σ = 3263475789360. Its totient is φ = 275224576000.

The previous prime is 1042413142187. The next prime is 1042413142219. The reversal of 1042413142200 is 22413142401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 8540169 + ... + 8661368.

Almost surely, 21042413142200 is an apocalyptic number.

1042413142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042413142200 is an abundant number, since it is smaller than the sum of its proper divisors (2221062647160).

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

1042413142200 is a wasteful number, since it uses less digits than its factorization.

1042413142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17201657 (or 17201648 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1042413142200 its reverse (22413142401), we get a palindrome (1064826284601).

The spelling of 1042413142200 in words is "one trillion, forty-two billion, four hundred thirteen million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 17201537 34403074 51604611 68806148 86007685 103209222 137612296 172015370 206418444 258023055 344030740 412836888 430038425 516046110 688061480 860076850 1032092220 1290115275 1720153700 1737355237 2064184440 2580230550 3440307400 3474710474 5160461100 5212065711 6949420948 8686776185 10320922200 10424131422 13898841896 17373552370 20848262844 26060328555 34747104740 41696525688 43433880925 52120657110 69494209480 86867761850 104241314220 130301642775 173735523700 208482628440 260603285550 347471047400 521206571100 1042413142200