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200121001112322 = 237431064009321
BaseRepresentation
bin101101100000001001001101…
…001011101111001100000010
3222020120101021122120110000000
4231200021031023233030002
5202212240302241043242
61545342152503140430
760103156651642653
oct5540111513571402
9866511248513000
10200121001112322
1158845926a90a24
121a54095a444716
1387884389b27b4
14375bc9dcc752a
151820916d95a4c
hexb6024d2ef302

200121001112322 has 64 divisors (see below), whose sum is σ = 460673476053120. Its totient is φ = 65155674719520.

The previous prime is 200121001112243. The next prime is 200121001112327. The reversal of 200121001112322 is 223211100121002.

200121001112322 is a `hidden beast` number, since 20 + 0 + 1 + 210 + 0 + 1 + 112 + 322 = 666.

It is a super-2 number, since 2×2001210011123222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200121001112295 and 200121001112304.

It is not an unprimeable number, because it can be changed into a prime (200121001112327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531816579 + ... + 532192742.

It is an arithmetic number, because the mean of its divisors is an integer number (7198023063330).

Almost surely, 2200121001112322 is an apocalyptic number.

200121001112322 is an abundant number, since it is smaller than the sum of its proper divisors (260552474940798).

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

200121001112322 is an equidigital number, since it uses as much as digits as its factorization.

200121001112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064009387 (or 1064009369 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 200121001112322 its reverse (223211100121002), we get a palindrome (423332101233324).

The spelling of 200121001112322 in words is "two hundred trillion, one hundred twenty-one billion, one million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 729 774 1161 1458 2187 2322 3483 4374 6966 10449 20898 31347 62694 94041 188082 1064009321 2128018642 3192027963 6384055926 9576083889 19152167778 28728251667 45752400803 57456503334 86184755001 91504801606 137257202409 172369510002 258554265003 274514404818 411771607227 517108530006 775662795009 823543214454 1235314821681 1551325590018 2326988385027 2470629643362 3705944465043 4653976770054 7411888930086 11117833395129 22235666790258 33353500185387 66707000370774 100060500556161 200121001112322