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1120204470700 = 2252711335294013
BaseRepresentation
bin10000010011010001011…
…000111011100110101100
310222002102222100020001101
4100103101120323212230
5121323134321030300
62214340445252444
7143634465615640
oct20232130734654
93862388306041
101120204470700
113a2092246967
1216112a264124
1381833944093
143c30a9b6c20
151e21465ab6a
hex104d163b9ac

1120204470700 has 144 divisors (see below), whose sum is σ = 2804184895680. Its totient is φ = 380468551680.

The previous prime is 1120204470689. The next prime is 1120204470719. The reversal of 1120204470700 is 70744020211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279141894 + ... + 279145906.

It is an arithmetic number, because the mean of its divisors is an integer number (19473506220).

Almost surely, 21120204470700 is an apocalyptic number.

1120204470700 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 1120204470700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402092447840).

1120204470700 is an abundant number, since it is smaller than the sum of its proper divisors (1683980424980).

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

1120204470700 is a wasteful number, since it uses less digits than its factorization.

1120204470700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 1120204470700 its reverse (70744020211), we get a palindrome (1190948490911).

The spelling of 1120204470700 in words is "one trillion, one hundred twenty billion, two hundred four million, four hundred seventy thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 113 140 175 226 350 452 565 700 791 1130 1582 2260 2825 3164 3529 3955 4013 5650 7058 7910 8026 11300 14116 15820 16052 17645 19775 20065 24703 28091 35290 39550 40130 49406 56182 70580 79100 80260 88225 98812 100325 112364 123515 140455 176450 200650 247030 280910 352900 398777 401300 453469 494060 561820 617575 702275 797554 906938 1235150 1404550 1595108 1813876 1993885 2267345 2470300 2791439 2809100 3174283 3987770 4534690 5582878 6348566 7975540 9069380 9969425 11165756 11336725 12697132 13957195 14161877 15871415 19938850 22673450 27914390 28323754 31742830 39877700 45346900 55828780 56647508 63485660 69785975 70809385 79357075 99133139 139571950 141618770 158714150 198266278 279143900 283237540 317428300 354046925 396532556 495665695 708093850 991331390 1416187700 1600292101 1982662780 2478328475 3200584202 4956656950 6401168404 8001460505 9913313900 11202044707 16002921010 22404089414 32005842020 40007302525 44808178828 56010223535 80014605050 112020447070 160029210100 224040894140 280051117675 560102235350 1120204470700