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110242024401141 = 3317424075663657
BaseRepresentation
bin11001000100001110111000…
…101101000010100011110101
3112110100000221020011020102000
4121010032320231002203311
5103422201131221314031
61030244253054405513
732135503064135523
oct3104167055024365
9473300836136360
10110242024401141
113214341a852a26
1210445786b00899
134968a16bb1989
141d31a573db313
15cb29ac2513e6
hex6443b8b428f5

110242024401141 has 32 divisors (see below), whose sum is σ = 172932774094080. Its totient is φ = 69169822944768.

The previous prime is 110242024401139. The next prime is 110242024401217. The reversal of 110242024401141 is 141104420242011.

110242024401141 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 4 + 202 + 440 + 1 + 14 + 1 = 666.

It is not a de Polignac number, because 110242024401141 - 21 = 110242024401139 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110242024401101) 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, 16632985 + ... + 22296641.

It is an arithmetic number, because the mean of its divisors is an integer number (5404149190440).

Almost surely, 2110242024401141 is an apocalyptic number.

It is an amenable number.

110242024401141 is a deficient number, since it is larger than the sum of its proper divisors (62690749692939).

110242024401141 is a wasteful number, since it uses less digits than its factorization.

110242024401141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706090 (or 5706084 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 110242024401141 its reverse (141104420242011), we get a palindrome (251346444643152).

The spelling of 110242024401141 in words is "one hundred ten trillion, two hundred forty-two billion, twenty-four million, four hundred one thousand, one hundred forty-one".

Divisors: 1 3 9 17 27 51 153 459 42407 127221 381663 720919 1144989 2162757 5663657 6488271 16990971 19464813 50972913 96282169 152918739 288846507 866539521 2599618563 240178702399 720536107197 2161608321591 4083037940783 6484824964773 12249113822349 36747341467047 110242024401141