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2002212111200 = 255271918817783
BaseRepresentation
bin11101001000101101001…
…001000100001101100000
321002102001121022202001112
4131020231021010031200
5230301012300024300
64131445322122452
7264440453065610
oct35105511041540
97072047282045
102002212111200
117021515a2764
12284060950428
13116a66946502
146cc9c5a0a40
15371372dce35
hex1d22d244360

2002212111200 has 144 divisors (see below), whose sum is σ = 5880181144320. Its totient is φ = 650342545920.

The previous prime is 2002212111197. The next prime is 2002212111233. The reversal of 2002212111200 is 21112122002.

It is a super-2 number, since 2×20022121112002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9302492 + ... + 9515291.

It is an arithmetic number, because the mean of its divisors is an integer number (40834591280).

Almost surely, 22002212111200 is an apocalyptic number.

2002212111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002212111200 is an abundant number, since it is smaller than the sum of its proper divisors (3877969033120).

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

2002212111200 is a wasteful number, since it uses less digits than its factorization.

2002212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18817829 (or 18817816 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2002212111200 its reverse (21112122002), we get a palindrome (2023324233202).

The spelling of 2002212111200 in words is "two trillion, two billion, two hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 100 112 133 140 152 160 175 190 200 224 266 280 304 350 380 400 475 532 560 608 665 700 760 800 950 1064 1120 1330 1400 1520 1900 2128 2660 2800 3040 3325 3800 4256 5320 5600 6650 7600 10640 13300 15200 21280 26600 53200 106400 18817783 37635566 75271132 94088915 131724481 150542264 188177830 263448962 301084528 357537877 376355660 470444575 526897924 602169056 658622405 715075754 752711320 940889150 1053795848 1317244810 1430151508 1505422640 1787689385 1881778300 2107591696 2502765139 2634489620 2860303016 3010845280 3293112025 3575378770 3763556600 4215183392 5005530278 5268979240 5720606032 6586224050 7150757540 7527113200 8938446925 10011060556 10537958480 11441212064 12513825695 13172448100 14301515080 15054226400 17876893850 20022121112 21075916960 25027651390 26344896200 28603030160 35753787700 40044242224 50055302780 52689792400 57206060320 62569128475 71507575400 80088484448 100110605560 105379584800 125138256950 143015150800 200221211120 250276513900 286030301600 400442422240 500553027800 1001106055600 2002212111200