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101073059388 = 223674951649
BaseRepresentation
bin101111000100001101…
…1000111111000111100
3100122212221210102000000
41132020123013320330
53123444200400023
6114233214234300
710205453554350
oct1361033077074
9318787712000
10101073059388
113995711a544
12177091b5990
1396b9c19b22
144c6b789460
15296854d243
hex17886c7e3c

101073059388 has 84 divisors (see below), whose sum is σ = 303080593200. Its totient is φ = 28878011136.

The previous prime is 101073059387. The next prime is 101073059393. The reversal of 101073059388 is 883950370101.

101073059388 is a `hidden beast` number, since 10 + 10 + 7 + 30 + 593 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101073059387) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2455413 + ... + 2496236.

It is an arithmetic number, because the mean of its divisors is an integer number (3608102300).

Almost surely, 2101073059388 is an apocalyptic number.

101073059388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101073059388 is an abundant number, since it is smaller than the sum of its proper divisors (202007533812).

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

101073059388 is an equidigital number, since it uses as much as digits as its factorization.

101073059388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951678 (or 4951661 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 101073059388 in words is "one hundred one billion, seventy-three million, fifty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 20412 4951649 9903298 14854947 19806596 29709894 34661543 44564841 59419788 69323086 89129682 103984629 133694523 138646172 178259364 207969258 267389046 311953887 401083569 415938516 534778092 623907774 802167138 935861661 1203250707 1247815548 1604334276 1871723322 2406501414 2807584983 3609752121 3743446644 4813002828 5615169966 7219504242 8422754949 11230339932 14439008484 16845509898 25268264847 33691019796 50536529694 101073059388