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101110022020 = 225731727187
BaseRepresentation
bin101111000101010100…
…0000111111110000100
3100122222112100022012101
41132022220013332010
53124033131201040
6114241014401444
710206413002210
oct1361250077604
9318875308171
10101110022020
1139975a76077
1217719660284
1396c478bcc7
144c7264b940
15296b90009a
hex178aa07f84

101110022020 has 72 divisors (see below), whose sum is σ = 243465840576. Its totient is φ = 34552127616.

The previous prime is 101110022009. The next prime is 101110022047. The reversal of 101110022020 is 20220011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101110021988 and 101110022006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14064867 + ... + 14072053.

It is an arithmetic number, because the mean of its divisors is an integer number (3381470008).

Almost surely, 2101110022020 is an apocalyptic number.

101110022020 is a gapful number since it is divisible by the number (10) 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 101110022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121732920288).

101110022020 is an abundant number, since it is smaller than the sum of its proper divisors (142355818556).

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

101110022020 is an equidigital number, since it uses as much as digits as its factorization.

101110022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101110022020 its reverse (20220011101), we get a palindrome (121330033121).

The spelling of 101110022020 in words is "one hundred one billion, one hundred ten million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 317 634 1268 1585 2219 3170 4438 6340 7187 8876 11095 14374 22190 28748 35935 44380 50309 71870 100489 100618 143740 200978 201236 251545 401956 502445 503090 703423 1004890 1006180 1406846 2009780 2278279 2813692 3517115 4556558 7034230 9113116 11391395 14068460 15947953 22782790 31895906 45565580 63791812 79739765 159479530 318959060 722214443 1444428886 2888857772 3611072215 5055501101 7222144430 10111002202 14444288860 20222004404 25277505505 50555011010 101110022020