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202114011120 = 24357432797813
BaseRepresentation
bin1011110000111011101…
…1110000111111110000
3201022200200011120120120
42330032323300333300
511302412141323440
6232503324410240
720413400514510
oct2741673607760
9638620146516
10202114011120
11787970aa02a
12332076a6980
13160a02a4528
149ad4b77840
1553cdd57dd0
hex2f0eef0ff0

202114011120 has 160 divisors (see below), whose sum is σ = 732713912832. Its totient is φ = 45123111936.

The previous prime is 202114011101. The next prime is 202114011131. The reversal of 202114011120 is 21110411202.

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 202114011120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326667 + ... + 1471146.

Almost surely, 2202114011120 is an apocalyptic number.

202114011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202114011120 is an abundant number, since it is smaller than the sum of its proper divisors (530599901712).

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

202114011120 is a wasteful number, since it uses less digits than its factorization.

202114011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797879 (or 2797873 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202114011120 its reverse (21110411202), we get a palindrome (223224422322).

The spelling of 202114011120 in words is "two hundred two billion, one hundred fourteen million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 688 840 860 903 1032 1204 1290 1505 1680 1720 1806 2064 2408 2580 3010 3440 3612 4515 4816 5160 6020 7224 9030 10320 12040 14448 18060 24080 36120 72240 2797813 5595626 8393439 11191252 13989065 16786878 19584691 22382504 27978130 33573756 39169382 41967195 44765008 55956260 58754073 67147512 78338764 83934390 97923455 111912520 117508146 120305959 134295024 156677528 167868780 195846910 223825040 235016292 240611918 293770365 313355056 335737560 360917877 391693820 470032584 481223836 587540730 601529795 671475120 721835754 783387640 842141713 940065168 962447672 1175081460 1203059590 1443671508 1566775280 1684283426 1804589385 1924895344 2350162920 2406119180 2526425139 2887343016 3368566852 3609178770 4210708565 4700325840 4812238360 5052850278 5774686032 6737133704 7218357540 8421417130 9624476720 10105700556 12632125695 13474267408 14436715080 16842834260 20211401112 25264251390 28873430160 33685668520 40422802224 50528502780 67371337040 101057005560 202114011120