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20101231233220 = 2251759121268333
BaseRepresentation
bin1001001001000001011101…
…01111110100100011000100
32122011122210100212222100211
410210200232233310203010
510113314310143430340
6110430213402445204
74143160151221414
oct444405657644304
978148710788324
1020101231233220
11644a97aaa1955
122307905803804
13b2a6cbc02037
144d6c94a1c644
1524cd2c22a5ea
hex12482ebf48c4

20101231233220 has 24 divisors (see below), whose sum is σ = 44695678860504. Its totient is φ = 7567522346496.

The previous prime is 20101231233151. The next prime is 20101231233221. The reversal of 20101231233220 is 2233213210102.

It can be written as a sum of positive squares in 4 ways, for example, as 7092282701956 + 13008948531264 = 2663134^2 + 3606792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20101231233191 and 20101231233200.

It is not an unprimeable number, because it can be changed into a prime (20101231233221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29560633827 + ... + 29560634506.

It is an arithmetic number, because the mean of its divisors is an integer number (1862319952521).

Almost surely, 220101231233220 is an apocalyptic number.

20101231233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101231233220 is an abundant number, since it is smaller than the sum of its proper divisors (24594447627284).

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

20101231233220 is a wasteful number, since it uses less digits than its factorization.

20101231233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59121268359 (or 59121268357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20101231233220 its reverse (2233213210102), we get a palindrome (22334444443322).

The spelling of 20101231233220 in words is "twenty trillion, one hundred one billion, two hundred thirty-one million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 59121268333 118242536666 236485073332 295606341665 591212683330 1005061561661 1182425366660 2010123123322 4020246246644 5025307808305 10050615616610 20101231233220