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1240112401000 = 235311909112401
BaseRepresentation
bin10010000010111100011…
…101011000101001101000
311101112221120021012122221
4102002330131120221220
5130304222233313000
62345411052323424
7155411066325364
oct22027435305150
94345846235587
101240112401000
11438a24136720
12180413173574
138cc32a33425
14440439d42a4
15223d14c661a
hex120bc758a68

1240112401000 has 128 divisors (see below), whose sum is σ = 3166272270720. Its totient is φ = 450864000000.

The previous prime is 1240112400983. The next prime is 1240112401001. The reversal of 1240112401000 is 1042110421.

It is a happy number.

It is a super-2 number, since 2×12401124010002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1240112401001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99994800 + ... + 100007200.

It is an arithmetic number, because the mean of its divisors is an integer number (24736502115).

Almost surely, 21240112401000 is an apocalyptic number.

1240112401000 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 1240112401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583136135360).

1240112401000 is an abundant number, since it is smaller than the sum of its proper divisors (1926159869720).

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

1240112401000 is a wasteful number, since it uses less digits than its factorization.

1240112401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21524 (or 21510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1240112401000 its reverse (1042110421), we get a palindrome (1241154511421).

The spelling of 1240112401000 in words is "one trillion, two hundred forty billion, one hundred twelve million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 9091 11000 12401 18182 24802 36364 45455 49604 62005 72728 90910 99208 100001 124010 136411 181820 200002 227275 248020 272822 310025 363640 400004 454550 496040 500005 545644 620050 682055 800008 909100 1000010 1091288 1136375 1240100 1364110 1550125 1818200 2000020 2272750 2480200 2500025 2728220 3100250 3410275 4000040 4545500 5000050 5456440 6200500 6820550 9091000 10000100 12401000 12500125 13641100 17051375 20000200 25000250 27282200 34102750 50000500 68205500 100001000 112737491 136411000 225474982 450949964 563687455 901899928 1127374910 1240112401 2254749820 2480224802 2818437275 4509499640 4960449604 5636874550 6200562005 9920899208 11273749100 12401124010 14092186375 22547498200 24802248020 28184372750 31002810025 49604496040 56368745500 62005620050 112737491000 124011240100 155014050125 248022480200 310028100250 620056200500 1240112401000