Search a number
-
+
101033514045 = 325174727110369
BaseRepresentation
bin101111000011000010…
…0010001010000111101
3100122210012101021222200
41132012010101100331
53123404034422140
6114225242502113
710204463461662
oct1360604212075
9318705337880
10101033514045
113993686a542
12176b7b04939
1396b1982209
144c66413a69
152964d3b030
hex178611143d

101033514045 has 96 divisors (see below), whose sum is σ = 190088570880. Its totient is φ = 49447895040.

The previous prime is 101033514037. The next prime is 101033514059. The reversal of 101033514045 is 540415330101.

It is a happy number.

101033514045 is a `hidden beast` number, since 1 + 0 + 103 + 3 + 514 + 0 + 45 = 666.

It is not a de Polignac number, because 101033514045 - 23 = 101033514037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9738621 + ... + 9748989.

It is an arithmetic number, because the mean of its divisors is an integer number (1980089280).

Almost surely, 2101033514045 is an apocalyptic number.

101033514045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101033514045 is a deficient number, since it is larger than the sum of its proper divisors (89055056835).

101033514045 is a wasteful number, since it uses less digits than its factorization.

101033514045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10715 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 101033514045 its reverse (540415330101), we get a palindrome (641448844146).

The spelling of 101033514045 in words is "one hundred one billion, thirty-three million, five hundred fourteen thousand, forty-five".

Divisors: 1 3 5 9 15 17 45 47 51 85 141 153 235 255 271 423 705 765 799 813 1355 2115 2397 2439 3995 4065 4607 7191 10369 11985 12195 12737 13821 23035 31107 35955 38211 41463 51845 63685 69105 93321 114633 155535 176273 191055 207315 216529 466605 487343 528819 573165 649587 881365 1082645 1462029 1586457 1948761 2436715 2644095 2809999 3247935 4386087 7310145 7932285 8284831 8429997 9743805 14049995 21930435 24854493 25289991 41424155 42149985 47769983 74563479 124272465 126449955 132069953 143309949 238849915 372817395 396209859 429929847 660349765 716549745 1188629577 1981049295 2149649235 2245189201 5943147885 6735567603 11225946005 20206702809 33677838015 101033514045