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31505530041 = 351710175511
BaseRepresentation
bin11101010101111000…
…000011110010111001
310000022200012202100000
4131111320003302321
51004010403430131
622250132503213
72163510405156
oct352570036271
9100280182300
1031505530041
11123a8061037
12613317ab09
132c8127248b
14174c38b22d
15c45db6ce6
hex755e03cb9

31505530041 has 48 divisors (see below), whose sum is σ = 50464971648. Its totient is φ = 19572192000.

The previous prime is 31505530031. The next prime is 31505530057. The reversal of 31505530041 is 14003550513.

31505530041 is a `hidden beast` number, since 315 + 0 + 5 + 5 + 300 + 41 = 666.

It is not a de Polignac number, because 31505530041 - 26 = 31505529977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31505529987 and 31505530014.

It is not an unprimeable number, because it can be changed into a prime (31505530031) 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 47 ways as a sum of consecutive naturals, for example, 379476 + ... + 454986.

It is an arithmetic number, because the mean of its divisors is an integer number (1051353576).

Almost surely, 231505530041 is an apocalyptic number.

It is an amenable number.

31505530041 is a deficient number, since it is larger than the sum of its proper divisors (18959441607).

31505530041 is a wasteful number, since it uses less digits than its factorization.

31505530041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75644 (or 75632 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 31505530041 in words is "thirty-one billion, five hundred five million, five hundred thirty thousand, forty-one".

Divisors: 1 3 9 17 27 51 81 101 153 243 303 459 909 1377 1717 2727 4131 5151 8181 15453 24543 46359 75511 139077 226533 417231 679599 1283687 2038797 3851061 6116391 7626611 11553183 18349173 22879833 34659549 68639499 103978647 129652387 205918497 311935941 388957161 617755491 1166871483 1853266473 3500614449 10501843347 31505530041