Search a number
-
+
105081033261 = 3797205321407
BaseRepresentation
bin110000111011101010…
…0010101001000101101
3101001020021111120112210
41201313110111020231
53210201221031021
6120135031121033
710410002021361
oct1416724251055
9331207446483
10105081033261
114062355a646
1218447513179
139ba83a0ab9
14512bbb72a1
152b0034ae76
hex187751522d

105081033261 has 16 divisors (see below), whose sum is σ = 140358726144. Its totient is φ = 69928778304.

The previous prime is 105081033259. The next prime is 105081033287. The reversal of 105081033261 is 162330180501.

It is not a de Polignac number, because 105081033261 - 21 = 105081033259 is a prime.

It is a super-3 number, since 3×1050810332613 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105081033221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4898020 + ... + 4919426.

It is an arithmetic number, because the mean of its divisors is an integer number (8772420384).

Almost surely, 2105081033261 is an apocalyptic number.

It is an amenable number.

105081033261 is a deficient number, since it is larger than the sum of its proper divisors (35277692883).

105081033261 is a wasteful number, since it uses less digits than its factorization.

105081033261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24260.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 105081033261 in words is "one hundred five billion, eighty-one million, thirty-three thousand, two hundred sixty-one".

Divisors: 1 3 797 2053 2391 6159 21407 64221 1636241 4908723 17061379 43948571 51184137 131845713 35027011087 105081033261