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1234012161320 = 235436782912917
BaseRepresentation
bin10001111101010000110…
…110110100010100101000
311100222012102120220222222
4101331100312310110220
5130204224103130240
62342521455133212
7155103654206141
oct21752066642450
94328172526888
101234012161320
11436383770324
1217b1b0214208
138c49cc6ba53
1443a25770ac8
1522175b8ceb5
hex11f50db4528

1234012161320 has 128 divisors (see below), whose sum is σ = 2887204003200. Its totient is φ = 474320157696.

The previous prime is 1234012161311. The next prime is 1234012161377. The reversal of 1234012161320 is 231612104321.

It is a happy number.

It is a Cunningham number, because it is equal to 11108612-1.

It is a self number, because there is not a number n which added to its sum of digits gives 1234012161320.

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 31 ways as a sum of consecutive naturals, for example, 95527502 + ... + 95540418.

It is an arithmetic number, because the mean of its divisors is an integer number (22556281275).

Almost surely, 21234012161320 is an apocalyptic number.

1234012161320 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 1234012161320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443602001600).

1234012161320 is an abundant number, since it is smaller than the sum of its proper divisors (1653191841880).

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

1234012161320 is a wasteful number, since it uses less digits than its factorization.

1234012161320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13867 (or 13863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1234012161320 its reverse (231612104321), we get a palindrome (1465624265641).

The spelling of 1234012161320 in words is "one trillion, two hundred thirty-four billion, twelve million, one hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 67 86 134 172 215 268 335 344 430 536 670 829 860 1340 1658 1720 2680 2881 3316 4145 5762 6632 8290 11524 12917 14405 16580 23048 25834 28810 33160 35647 51668 55543 57620 64585 71294 103336 111086 115240 129170 142588 178235 222172 258340 277715 285176 356470 444344 516680 555430 555431 712940 865439 1110860 1110862 1425880 1730878 2221720 2221724 2388349 2777155 3461756 4327195 4443448 4776698 5554310 6923512 8654390 9553396 10708193 11108620 11941745 17308780 19106792 21416386 22217240 23883490 34617560 37213877 42832772 47766980 53540965 74427754 85665544 95533960 107081930 148855508 186069385 214163860 297711016 372138770 428327720 460452299 717448931 744277540 920904598 1434897862 1488555080 1841809196 2302261495 2869795724 3587244655 3683618392 4604522990 5739591448 7174489310 9209045980 14348978620 18418091960 28697957240 30850304033 61700608066 123401216132 154251520165 246802432264 308503040330 617006080660 1234012161320