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200202000121900 = 225272005731425929
BaseRepresentation
bin101101100001010100101001…
…000110011100000000101100
3222020212010100121111110111201
4231201110221012130000230
5202220102144012400100
61545443310145055244
760112055124111640
oct5541245106340054
9866763317443451
10200202000121900
11588772118a4757
121a5545a4927524
138792c76a98a2a
143761b855d2c20
151822aa7dec36a
hexb6152919c02c

200202000121900 has 72 divisors (see below), whose sum is σ = 496503783911520. Its totient is φ = 68640295395840.

The previous prime is 200202000121847. The next prime is 200202000121901. The reversal of 200202000121900 is 9121000202002.

It is a super-2 number, since 2×2002020001219002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200202000121901) 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 23 ways as a sum of consecutive naturals, for example, 139688136 + ... + 141114064.

It is an arithmetic number, because the mean of its divisors is an integer number (6895885887660).

Almost surely, 2200202000121900 is an apocalyptic number.

200202000121900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200202000121900 is an abundant number, since it is smaller than the sum of its proper divisors (296301783789620).

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

200202000121900 is a wasteful number, since it uses less digits than its factorization.

200202000121900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626523 (or 1626516 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 200202000121900 its reverse (9121000202002), we get a palindrome (209323000323902).

The spelling of 200202000121900 in words is "two hundred trillion, two hundred two billion, one hundred twenty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 200573 401146 802292 1002865 1404011 1425929 2005730 2808022 2851858 4011460 5014325 5616044 5703716 7020055 7129645 9981503 10028650 14040110 14259290 19963006 20057300 28080220 28518580 35100275 35648225 39926012 49907515 70200550 71296450 99815030 140401100 142592900 199630060 249537575 499075150 998150300 286002857317 572005714634 1144011429268 1430014286585 2002020001219 2860028573170 4004040002438 5720057146340 7150071432925 8008080004876 10010100006095 14300142865850 20020200012190 28600285731700 40040400024380 50050500030475 100101000060950 200202000121900