Search a number
-
+
110500054146 = 23353199194017
BaseRepresentation
bin110011011101001010…
…0010000010010000010
3101120012221100100201000
41212322110100102002
53302301003213041
6122432451352430
710661202651156
oct1467224202202
9346187310630
10110500054146
11429544441a9
12194ba2b2716
13a55cca0831
1454c3791066
152d1ae71bb6
hex19ba510482

110500054146 has 64 divisors (see below), whose sum is σ = 251447328000. Its totient is φ = 35956597248.

The previous prime is 110500054141. The next prime is 110500054153. The reversal of 110500054146 is 641450005011.

110500054146 is a `hidden beast` number, since 1 + 10 + 500 + 0 + 5 + 4 + 146 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (110500054141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472530 + ... + 666546.

It is an arithmetic number, because the mean of its divisors is an integer number (3928864500).

Almost surely, 2110500054146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110500054146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125723664000).

110500054146 is an abundant number, since it is smaller than the sum of its proper divisors (140947273854).

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

110500054146 is a wasteful number, since it uses less digits than its factorization.

110500054146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194280 (or 194274 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 110500054146 its reverse (641450005011), we get a palindrome (751950059157).

The spelling of 110500054146 in words is "one hundred ten billion, five hundred million, fifty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 199 318 398 477 597 954 1194 1431 1791 2862 3582 5373 10547 10746 21094 31641 63282 94923 189846 194017 284769 388034 569538 582051 1164102 1746153 3492306 5238459 10282901 10476918 20565802 30848703 38609383 61697406 77218766 92546109 115828149 185092218 231656298 277638327 347484447 555276654 694968894 1042453341 2046297299 2084906682 4092594598 6138891897 12277783794 18416675691 36833351382 55250027073 110500054146