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220211211010120 = 23511245498184093
BaseRepresentation
bin110010000100011111101011…
…000000100000000001001000
31001212200222121220212120102121
4302010133223000200001020
5212330420030004310440
62100203344520341024
764245510044321221
oct6204375300400110
91055628556776377
10220211211010120
11641910607a2400
12208464a9014774
1395b4a9c429c85
143c543cac80248
151a6d2eb71a34a
hexc847eb020048

220211211010120 has 48 divisors (see below), whose sum is σ = 544613263605180. Its totient is φ = 80076804001920.

The previous prime is 220211211010117. The next prime is 220211211010129. The reversal of 220211211010120 is 21010112112022.

It can be written as a sum of positive squares in 2 ways, for example, as 204749942155396 + 15461268854724 = 14309086^2 + 3932082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220211211010094 and 220211211010103.

It is not an unprimeable number, because it can be changed into a prime (220211211010129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22749087207 + ... + 22749096886.

Almost surely, 2220211211010120 is an apocalyptic number.

220211211010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211211010120 is an abundant number, since it is smaller than the sum of its proper divisors (324402052595060).

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

220211211010120 is a wasteful number, since it uses less digits than its factorization.

220211211010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45498184126 (or 45498184111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220211211010120 its reverse (21010112112022), we get a palindrome (241221323122142).

The spelling of 220211211010120 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 45498184093 90996368186 181992736372 227490920465 363985472744 454981840930 500480025023 909963681860 1000960050046 1819927363720 2001920100092 2502400125115 4003840200184 5004800250230 5505280275253 10009600500460 11010560550506 20019201000920 22021121101012 27526401376265 44042242202024 55052802752530 110105605505060 220211211010120