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72971203131121 = 337971222998723
BaseRepresentation
bin10000100101110111101110…
…101001000011011011110001
3100120100222102121111112111111
4100211313232221003123301
534031030011000143441
6415110301414113321
721240665303400151
oct2045675651033361
9316328377445444
1072971203131121
1121283a058a3009
12822638434b841
1331942024c1209
141403b7a01a761
15868236069081
hex425deea436f1

72971203131121 has 8 divisors (see below), whose sum is σ = 73263108788064. Its totient is φ = 72679743474240.

The previous prime is 72971203131109. The next prime is 72971203131161. The reversal of 72971203131121 is 12113130217927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72971203131121 - 27 = 72971203130993 is a prime.

It is a super-3 number, since 3×729712031311213 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72971203131161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111172135 + ... + 111826588.

It is an arithmetic number, because the mean of its divisors is an integer number (9157888598508).

Almost surely, 272971203131121 is an apocalyptic number.

It is an amenable number.

72971203131121 is a deficient number, since it is larger than the sum of its proper divisors (291905656943).

72971203131121 is a wasteful number, since it uses less digits than its factorization.

72971203131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223000031.

The product of its (nonzero) digits is 31752, while the sum is 40.

The spelling of 72971203131121 in words is "seventy-two trillion, nine hundred seventy-one billion, two hundred three million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 337 971 327227 222998723 75150569651 216531760033 72971203131121