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2114225510100 = 2235211258243127
BaseRepresentation
bin11110110001000001101…
…010010001011011010100
321111010012000021222111020
4132301001222101123110
5234114413212310400
64255132314041140
7305514323214654
oct36610152213324
97433160258436
102114225510100
11745702201200
122a1901a191b0
131244a82cc3c2
1474486d2a364
1539ee10432a0
hex1ec41a916d4

2114225510100 has 108 divisors (see below), whose sum is σ = 6723819668832. Its totient is φ = 512539508800.

The previous prime is 2114225510069. The next prime is 2114225510101. The reversal of 2114225510100 is 10155224112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114225510101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 29085264 + ... + 29157863.

Almost surely, 22114225510100 is an apocalyptic number.

2114225510100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114225510100 is an abundant number, since it is smaller than the sum of its proper divisors (4609594158732).

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

2114225510100 is a wasteful number, since it uses less digits than its factorization.

2114225510100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58243166 (or 58243148 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 2114225510100 in words is "two trillion, one hundred fourteen billion, two hundred twenty-five million, five hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 58243127 116486254 174729381 232972508 291215635 349458762 582431270 640674397 698917524 873646905 1164862540 1281348794 1456078175 1747293810 1922023191 2562697588 2912156350 3203371985 3494587620 3844046382 4368234525 5824312700 6406743970 7047418367 7688092764 8736469050 9610115955 12813487940 14094836734 16016859925 17472938100 19220231910 21142255101 28189673468 32033719850 35237091835 38440463820 42284510202 48050579775 64067439700 70474183670 84569020404 96101159550 105711275505 140948367340 176185459175 192202319100 211422551010 352370918350 422845102020 528556377525 704741836700 1057112755050 2114225510100