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101123330440 = 235111931190807
BaseRepresentation
bin101111000101101101…
…0111001000110001000
3100200000110101102220211
41132023122321012020
53124100033033230
6114242211530504
710206634061236
oct1361332710610
9320013342824
10101123330440
1139982535970
1217721bb9a34
1396c746b702
144c74313956
15296cb7d42a
hex178b6b9188

101123330440 has 64 divisors (see below), whose sum is σ = 249498092160. Its totient is φ = 36581560320.

The previous prime is 101123330411. The next prime is 101123330447. The reversal of 101123330440 is 44033321101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (101123330447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510484 + ... + 680323.

It is an arithmetic number, because the mean of its divisors is an integer number (3898407690).

Almost surely, 2101123330440 is an apocalyptic number.

101123330440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101123330440 is an abundant number, since it is smaller than the sum of its proper divisors (148374761720).

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

101123330440 is a wasteful number, since it uses less digits than its factorization.

101123330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191022 (or 1191018 counting only the distinct ones).

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

Adding to 101123330440 its reverse (44033321101), we get a palindrome (145156651541).

The spelling of 101123330440 in words is "one hundred one billion, one hundred twenty-three million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 193 220 386 440 772 965 1544 1930 2123 3860 4246 7720 8492 10615 16984 21230 42460 84920 1190807 2381614 4763228 5954035 9526456 11908070 13098877 23816140 26197754 47632280 52395508 65494385 104791016 130988770 229825751 261977540 459651502 523955080 919303004 1149128755 1838606008 2298257510 2528083261 4596515020 5056166522 9193030040 10112333044 12640416305 20224666088 25280832610 50561665220 101123330440