Search a number
-
+
10201221122220 = 22325232464063073
BaseRepresentation
bin1001010001110010100000…
…1010010100100010101100
31100010020010122021101002200
42110130220022110202230
52314114100101402340
633410213140021500
72102004524561352
oct224345012244254
940106118241080
1010201221122220
11328334a418437
121189094391890
1358cc8145600b
14273a5547b7d2
1512a5556c6330
hex947282948ac

10201221122220 has 72 divisors (see below), whose sum is σ = 32289082521696. Its totient is φ = 2602050604032.

The previous prime is 10201221122219. The next prime is 10201221122237. The reversal of 10201221122220 is 2222112210201.

It is a happy number.

10201221122220 is a `hidden beast` number, since 1 + 0 + 201 + 221 + 1 + 22 + 220 = 666.

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 = 10201221122193 and 10201221122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232027397 + ... + 1232035676.

It is an arithmetic number, because the mean of its divisors is an integer number (448459479468).

Almost surely, 210201221122220 is an apocalyptic number.

10201221122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201221122220 is an abundant number, since it is smaller than the sum of its proper divisors (22087861399476).

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

10201221122220 is a wasteful number, since it uses less digits than its factorization.

10201221122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464063111 (or 2464063106 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10201221122220 its reverse (2222112210201), we get a palindrome (12423333332421).

The spelling of 10201221122220 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 2464063073 4928126146 7392189219 9856252292 12320315365 14784378438 22176567657 24640630730 29568756876 36960946095 44353135314 49281261460 56673450679 73921892190 88706270628 110882838285 113346901358 147843784380 170020352037 221765676570 226693802716 283367253395 340040704074 443531353140 510061056111 566734506790 680081408148 850101760185 1020122112222 1133469013580 1700203520370 2040244224444 2550305280555 3400407040740 5100610561110 10201221122220