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137021171220 = 223251275993927
BaseRepresentation
bin111111110011100011…
…0010010011000010100
3111002200020111200212100
41333213012102120110
54221104404434340
6142540251122100
712620340511203
oct1774706223024
9432606450770
10137021171220
1153123973a7a
1222680143330
13cbc86b100b
1468bbb7723a
15386e460830
hex1fe7192614

137021171220 has 72 divisors (see below), whose sum is σ = 418903640064. Its totient is φ = 36251264448.

The previous prime is 137021171213. The next prime is 137021171227. The reversal of 137021171220 is 22171120731.

137021171220 is a `hidden beast` number, since 1 + 370 + 2 + 1 + 1 + 71 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (137021171213) and next prime (137021171227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137021171227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2974104 + ... + 3019823.

It is an arithmetic number, because the mean of its divisors is an integer number (5818106112).

Almost surely, 2137021171220 is an apocalyptic number.

137021171220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137021171220 is an abundant number, since it is smaller than the sum of its proper divisors (281882468844).

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

137021171220 is a wasteful number, since it uses less digits than its factorization.

137021171220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994069 (or 5994064 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 137021171220 its reverse (22171120731), we get a palindrome (159192291951).

The spelling of 137021171220 in words is "one hundred thirty-seven billion, twenty-one million, one hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 5993927 11987854 17981781 23975708 29969635 35963562 53945343 59939270 71927124 89908905 107890686 119878540 179817810 215781372 269726715 359635620 539453430 761228729 1078906860 1522457458 2283686187 3044914916 3806143645 4567372374 6851058561 7612287290 9134744748 11418430935 13702117122 15224574580 22836861870 27404234244 34255292805 45673723740 68510585610 137021171220