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2301163165040 = 245173121760699
BaseRepresentation
bin100001011111001000000…
…000110101010101110000
322010222201000110210011212
4201133020000311111300
5300200240232240130
64521050104455252
7325152653112215
oct41371000652560
98128630423155
102301163165040
11807a10685203
12311b92a7a528
13138cca35b3cc
147d53c293b0c
153ecd284ce95
hex217c8035570

2301163165040 has 120 divisors (see below), whose sum is σ = 5853559834800. Its totient is φ = 838373959680.

The previous prime is 2301163165033. The next prime is 2301163165099. The reversal of 2301163165040 is 405613611032.

It is a junction number, because it is equal to n+sod(n) for n = 2301163164988 and 2301163165006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426611 + ... + 2187309.

It is an arithmetic number, because the mean of its divisors is an integer number (48779665290).

Almost surely, 22301163165040 is an apocalyptic number.

2301163165040 is a gapful number since it is divisible by the number (20) 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 2301163165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926779917400).

2301163165040 is an abundant number, since it is smaller than the sum of its proper divisors (3552396669760).

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

2301163165040 is a wasteful number, since it uses less digits than its factorization.

2301163165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760791 (or 1760754 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 2301163165040 its reverse (405613611032), we get a palindrome (2706776776072).

The spelling of 2301163165040 in words is "two trillion, three hundred one billion, one hundred sixty-three million, one hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 961 1054 1240 1360 1922 2108 2480 2635 3844 4216 4805 5270 7688 8432 9610 10540 15376 16337 19220 21080 32674 38440 42160 65348 76880 81685 130696 163370 261392 326740 653480 1306960 1760699 3521398 7042796 8803495 14085592 17606990 28171184 29931883 35213980 54581669 59863766 70427960 109163338 119727532 140855920 149659415 218326676 239455064 272908345 299318830 436653352 478910128 545816690 598637660 873306704 927888373 1091633380 1197275320 1692031739 1855776746 2183266760 2394550640 3384063478 3711553492 4366533520 4639441865 6768126956 7423106984 8460158695 9278883730 13536253912 14846213968 16920317390 18557767460 27072507824 28764539563 33840634780 37115534920 57529079126 67681269560 74231069840 115058158252 135362539120 143822697815 230116316504 287645395630 460232633008 575290791260 1150581582520 2301163165040