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101022320200 = 2352739837039
BaseRepresentation
bin101111000010101100…
…1100100011001001000
3100122202102022120220211
41132011121210121020
53123343203221300
6114224202530504
710204266360604
oct1360531443110
9318672276824
10101022320200
113993051442a
12176b4206a34
1396ac563139
144c64b3c504
152963d794ba
hex1785664648

101022320200 has 96 divisors (see below), whose sum is σ = 238370457600. Its totient is φ = 39809180160.

The previous prime is 101022320171. The next prime is 101022320227. The reversal of 101022320200 is 2023220101.

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, 14348281 + ... + 14355319.

It is an arithmetic number, because the mean of its divisors is an integer number (2483025600).

Almost surely, 2101022320200 is an apocalyptic number.

101022320200 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 101022320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119185228800).

101022320200 is an abundant number, since it is smaller than the sum of its proper divisors (137348137400).

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

101022320200 is a wasteful number, since it uses less digits than its factorization.

101022320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8111 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 101022320200 its reverse (2023220101), we get a palindrome (103045540301).

The spelling of 101022320200 in words is "one hundred one billion, twenty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 983 1460 1825 1966 2920 3650 3932 4915 7039 7300 7864 9830 14078 14600 19660 24575 28156 35195 39320 49150 56312 70390 71759 98300 140780 143518 175975 196600 281560 287036 351950 358795 513847 574072 703900 717590 1027694 1407800 1435180 1793975 2055388 2569235 2870360 3587950 4110776 5138470 6919337 7175900 10276940 12846175 13838674 14351800 20553880 25692350 27677348 34596685 51384700 55354696 69193370 102769400 138386740 172983425 276773480 345966850 505111601 691933700 1010223202 1383867400 2020446404 2525558005 4040892808 5051116010 10102232020 12627790025 20204464040 25255580050 50511160100 101022320200