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101992011820 = 22537547251969
BaseRepresentation
bin101111011111100110…
…0101001100000101100
3100202020222222000202021
41132333030221200230
53132334423334240
6114504322435524
710240312540066
oct1367714514054
9322228860667
10101992011820
113a288917066
1217924b02ba4
13980541ab6a
144d1783a736
1529be07054a
hex17bf32982c

101992011820 has 48 divisors (see below), whose sum is σ = 220374977760. Its totient is φ = 39621464064.

The previous prime is 101992011791. The next prime is 101992011833. The reversal of 101992011820 is 28110299101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278796 + ... + 530764.

It is an arithmetic number, because the mean of its divisors is an integer number (4591145370).

Almost surely, 2101992011820 is an apocalyptic number.

101992011820 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 101992011820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110187488880).

101992011820 is an abundant number, since it is smaller than the sum of its proper divisors (118382965940).

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

101992011820 is a wasteful number, since it uses less digits than its factorization.

101992011820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252562 (or 252560 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 34.

The spelling of 101992011820 in words is "one hundred one billion, nine hundred ninety-two million, eleven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 547 740 1094 2188 2735 5470 10940 20239 40478 80956 101195 202390 251969 404780 503938 1007876 1259845 2519690 5039380 9322853 18645706 37291412 46614265 93228530 137827043 186457060 275654086 551308172 689135215 1378270430 2756540860 5099600591 10199201182 20398402364 25498002955 50996005910 101992011820