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200032133201120 = 25511744131527349
BaseRepresentation
bin101101011110110110011100…
…001111100011110011100000
3222020020212220021220210202102
4231132312130033203303200
5202204311302044413440
61545233254323305532
760063562510110563
oct5536663417436340
9866225807823672
10200032133201120
1158811173401a10
121a52769881b2a8
13877cc45597b5c
14375786d4bc4da
15181d4650dcb15
hexb5ed9c3e3ce0

200032133201120 has 96 divisors (see below), whose sum is σ = 515544627074400. Its totient is φ = 72737932400640.

The previous prime is 200032133201111. The next prime is 200032133201129. The reversal of 200032133201120 is 21102331230002.

It is an interprime number because it is at equal distance from previous prime (200032133201111) and next prime (200032133201129).

It is a super-2 number, since 2×2000321332011202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 200032133201092 and 200032133201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200032133201129) 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, 130203206 + ... + 131730554.

It is an arithmetic number, because the mean of its divisors is an integer number (5370256532025).

Almost surely, 2200032133201120 is an apocalyptic number.

200032133201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200032133201120 is an abundant number, since it is smaller than the sum of its proper divisors (315512493873280).

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

200032133201120 is a wasteful number, since it uses less digits than its factorization.

200032133201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601788 (or 1601780 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 200032133201120 its reverse (21102331230002), we get a palindrome (221134464431122).

The spelling of 200032133201120 in words is "two hundred trillion, thirty-two billion, one hundred thirty-three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 74413 148826 297652 372065 595304 744130 818543 1190608 1488260 1527349 1637086 2381216 2976520 3054698 3274172 4092715 5953040 6109396 6548344 7636745 8185430 11906080 12218792 13096688 15273490 16370860 16800839 24437584 26193376 30546980 32741720 33601678 48875168 61093960 65483440 67203356 84004195 122187920 130966880 134406712 168008390 244375840 268813424 336016780 537626848 672033560 1344067120 2688134240 113654621137 227309242274 454618484548 568273105685 909236969096 1136546211370 1250200832507 1818473938192 2273092422740 2500401665014 3636947876384 4546184845480 5000803330028 6251004162535 9092369690960 10001606660056 12502008325070 18184739381920 20003213320112 25004016650140 40006426640224 50008033300280 100016066600560 200032133201120