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31005400355405 = 573675094742261
BaseRepresentation
bin1110000110011000000011…
…10111111101001001001101
311001210002100122211122220022
413003030001313331021031
513030443024442333110
6145535403450031525
76350031503404520
oct703140167751115
9131702318748808
1031005400355405
119974353211993
123589079a185a5
13143ba484a0958
14792952b0cbb7
1538b7c56ca755
hex1c3301dfd24d

31005400355405 has 32 divisors (see below), whose sum is σ = 42721331143680. Its totient is φ = 21161254014720.

The previous prime is 31005400355357. The next prime is 31005400355429. The reversal of 31005400355405 is 50455300450013.

It is not a de Polignac number, because 31005400355405 - 212 = 31005400351309 is a prime.

It is a super-2 number, since 2×310054003554052 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4166975 + ... + 8909235.

It is an arithmetic number, because the mean of its divisors is an integer number (1335041598240).

Almost surely, 231005400355405 is an apocalyptic number.

31005400355405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31005400355405 is a deficient number, since it is larger than the sum of its proper divisors (11715930788275).

31005400355405 is a wasteful number, since it uses less digits than its factorization.

31005400355405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743149.

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 31005400355405 in words is "thirty-one trillion, five billion, four hundred million, three hundred fifty-five thousand, four hundred five".

Divisors: 1 5 7 35 367 509 1835 2545 2569 3563 12845 17815 186803 934015 1307621 4742261 6538105 23711305 33195827 165979135 1740409787 2413810849 8702048935 12069054245 12182868509 16896675943 60914342545 84483379715 885868581583 4429342907915 6201080071081 31005400355405