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120002120100200 = 23521346154661577
BaseRepresentation
bin11011010010010000101011…
…101111011010100101101000
3120201220002110002010021200002
4123102100223233122211220
5111212103320221201300
61103120113554002132
734163603255555252
oct3322205357324550
9521802402107602
10120002120100200
1135266682390938
121156126b276348
1351c61c7734730
14218c1c286ccd2
15dd17e583d5d5
hex6d242bbda968

120002120100200 has 48 divisors (see below), whose sum is σ = 300466846872780. Its totient is φ = 44308475112960.

The previous prime is 120002120100199. The next prime is 120002120100241. The reversal of 120002120100200 is 2001021200021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40835652917284 + 79166467182916 = 6390278^2 + 8897554^2 .

It is a super-5 number, since 5×1200021201002005 (a number of 72 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23077328189 + ... + 23077333388.

Almost surely, 2120002120100200 is an apocalyptic number.

120002120100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002120100200 is an abundant number, since it is smaller than the sum of its proper divisors (180464726772580).

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

120002120100200 is a wasteful number, since it uses less digits than its factorization.

120002120100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46154661606 (or 46154661597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120002120100200 its reverse (2001021200021), we get a palindrome (122003141300221).

The spelling of 120002120100200 in words is "one hundred twenty trillion, two billion, one hundred twenty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 46154661577 92309323154 184618646308 230773307885 369237292616 461546615770 600010600501 923093231540 1153866539425 1200021201002 1846186463080 2307733078850 2400042402004 3000053002505 4615466157700 4800084804008 6000106005010 9230932315400 12000212010020 15000265012525 24000424020040 30000530025050 60001060050100 120002120100200