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202212331011020 = 2251123293190743189
BaseRepresentation
bin101101111110100100111010…
…001010001011101111001100
3222111222022101000201212010202
4231332210322022023233030
5203001021323214323040
61554023021252553032
760410234032532201
oct5576447212135714
9874868330655122
10202212331011020
115948184a211430
121a81a130622778
1388aa705741c35
1437d11b4139ca8
15185a017d49015
hexb7e93a28bbcc

202212331011020 has 192 divisors, whose sum is σ = 500087293977600. Its totient is φ = 67905687843840.

The previous prime is 202212331010957. The next prime is 202212331011023. The reversal of 202212331011020 is 20110133212202.

It is a super-2 number, since 2×2022123310110202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202212331010983 and 202212331011001.

It is not an unprimeable number, because it can be changed into a prime (202212331011023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4682011586 + ... + 4682054774.

It is an arithmetic number, because the mean of its divisors is an integer number (2604621322800).

Almost surely, 2202212331011020 is an apocalyptic number.

202212331011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202212331011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250043646988800).

202212331011020 is an abundant number, since it is smaller than the sum of its proper divisors (297874962966580).

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

202212331011020 is a wasteful number, since it uses less digits than its factorization.

202212331011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75168 (or 75166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 202212331011020 its reverse (20110133212202), we get a palindrome (222322464223222).

The spelling of 202212331011020 in words is "two hundred two trillion, two hundred twelve billion, three hundred thirty-one million, eleven thousand, twenty".