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2301010131120 = 243541233842493
BaseRepresentation
bin100001011110111110111…
…001000011100010110000
322010222022100111212002220
4201132332321003202300
5300144432043143440
64521023000441040
7325146114255201
oct41367671034260
98128270455086
102301010131120
11807942260598
12311b4b779180
13138ca47395ac
147d525c195a8
153ecc41be8d0
hex217bee438b0

2301010131120 has 80 divisors (see below), whose sum is σ = 7307110252512. Its totient is φ = 598636779520.

The previous prime is 2301010131083. The next prime is 2301010131127. The reversal of 2301010131120 is 211310101032.

It is a happy number.

2301010131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2301010131120.

It is not an unprimeable number, because it can be changed into a prime (2301010131127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116911407 + ... + 116931086.

Almost surely, 22301010131120 is an apocalyptic number.

2301010131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301010131120 is an abundant number, since it is smaller than the sum of its proper divisors (5006100121392).

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

2301010131120 is a wasteful number, since it uses less digits than its factorization.

2301010131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233842550 (or 233842544 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2301010131120 its reverse (211310101032), we get a palindrome (2512320232152).

The spelling of 2301010131120 in words is "two trillion, three hundred one billion, ten million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 233842493 467684986 701527479 935369972 1169212465 1403054958 1870739944 2338424930 2806109916 3507637395 3741479888 4676849860 5612219832 7015274790 9353699720 9587542213 11224439664 14030549580 18707399440 19175084426 28061099160 28762626639 38350168852 47937711065 56122198320 57525253278 76700337704 95875422130 115050506556 143813133195 153400675408 191750844260 230101013112 287626266390 383501688520 460202026224 575252532780 767003377040 1150505065560 2301010131120