Search a number
-
+
31505151104 = 27735161999
BaseRepresentation
bin11101010101110110…
…100111010010000000
310000022122111111112022
4131111312213102000
51004010304313404
622250120421012
72163504236330
oct352566472200
9100278444468
1031505151104
11123a7922369
126133017768
132c8116bb5b
14174c2cd0c0
15c45d3e8be
hex755da7480

31505151104 has 32 divisors (see below), whose sum is σ = 71730480000. Its totient is φ = 13502207232.

The previous prime is 31505151103. The next prime is 31505151187. The reversal of 31505151104 is 40115150513.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (31505151101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17580104 + ... + 17581895.

It is an arithmetic number, because the mean of its divisors is an integer number (2241577500).

Almost surely, 231505151104 is an apocalyptic number.

It is an amenable number.

31505151104 is an abundant number, since it is smaller than the sum of its proper divisors (40225328896).

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

31505151104 is an equidigital number, since it uses as much as digits as its factorization.

31505151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35162020 (or 35162008 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The spelling of 31505151104 in words is "thirty-one billion, five hundred five million, one hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 35161999 70323998 140647996 246133993 281295992 492267986 562591984 984535972 1125183968 1969071944 2250367936 3938143888 4500735872 7876287776 15752575552 31505151104