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31105451007 = 331152053741
BaseRepresentation
bin11100111110000001…
…111000001111111111
32222021210101122002000
4130332001320033333
51002200443413012
622142321433343
72150551654041
oct347601701777
988253348060
1031105451007
1112212241804
12604119b853
132c19403c17
1417111a5a91
15c20bd9ddc
hex73e0783ff

31105451007 has 8 divisors (see below), whose sum is σ = 46082149680. Its totient is φ = 20736967320.

The previous prime is 31105450993. The next prime is 31105451023. The reversal of 31105451007 is 70015450113.

31105451007 is a `hidden beast` number, since 3 + 1 + 10 + 545 + 100 + 7 = 666.

It is not a de Polignac number, because 31105451007 - 28 = 31105450751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1152053741 = 31105451007 / (3 + 1 + 1 + 0 + 5 + 4 + 5 + 1 + 0 + 0 + 7).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31105451087) 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, 576026844 + ... + 576026897.

It is an arithmetic number, because the mean of its divisors is an integer number (5760268710).

Almost surely, 231105451007 is an apocalyptic number.

31105451007 is a deficient number, since it is larger than the sum of its proper divisors (14976698673).

31105451007 is a wasteful number, since it uses less digits than its factorization.

31105451007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152053750 (or 1152053744 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 31105451007 in words is "thirty-one billion, one hundred five million, four hundred fifty-one thousand, seven".

Divisors: 1 3 9 27 1152053741 3456161223 10368483669 31105451007