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2243114113120 = 25537419241571
BaseRepresentation
bin100000101001000100000…
…001010001100001100000
321221102212110221102001221
4200221010001101201200
5243222344203104440
64434250012104424
7321026313240616
oct40510401214140
97842773842057
102243114113120
11795332491331
12302892465114
131336a8b6288a
147a7d296b6b6
153d53651dd4a
hex20a44051860

2243114113120 has 96 divisors (see below), whose sum is σ = 5575329488736. Its totient is φ = 851703091200.

The previous prime is 2243114113111. The next prime is 2243114113139. The reversal of 2243114113120 is 213114113422.

It is a super-2 number, since 2×22431141131202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4378066 + ... + 4863505.

It is an arithmetic number, because the mean of its divisors is an integer number (58076348841).

Almost surely, 22243114113120 is an apocalyptic number.

2243114113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243114113120 is an abundant number, since it is smaller than the sum of its proper divisors (3332215375616).

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

2243114113120 is a wasteful number, since it uses less digits than its factorization.

2243114113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241664 (or 9241656 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 2243114113120 its reverse (213114113422), we get a palindrome (2456228226542).

The spelling of 2243114113120 in words is "two trillion, two hundred forty-three billion, one hundred fourteen million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 41 74 80 82 148 160 164 185 205 296 328 370 410 592 656 740 820 1184 1312 1480 1517 1640 2960 3034 3280 5920 6068 6560 7585 12136 15170 24272 30340 48544 60680 121360 242720 9241571 18483142 36966284 46207855 73932568 92415710 147865136 184831420 295730272 341938127 369662840 378904411 683876254 739325680 757808822 1367752508 1478651360 1515617644 1709690635 1894522055 2735505016 3031235288 3419381270 3789044110 5471010032 6062470576 6838762540 7578088220 10942020064 12124941152 13677525080 14019463207 15156176440 27355050160 28038926414 30312352880 54710100320 56077852828 60624705760 70097316035 112155705656 140194632070 224311411312 280389264140 448622822624 560778528280 1121557056560 2243114113120