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100231044144 = 24371127118789
BaseRepresentation
bin101110101011000111…
…1000101110000110000
3100120201021101121020020
41131112033011300300
53120233121403034
6114013455043440
710145550550410
oct1352617056060
9316637347206
10100231044144
11395648a1a80
1217513210580
1395b464605a
144bcba04640
152919677249
hex17563c5c30

100231044144 has 80 divisors (see below), whose sum is σ = 322822076160. Its totient is φ = 26034036480.

The previous prime is 100231044139. The next prime is 100231044167. The reversal of 100231044144 is 441440132001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13555699 + ... + 13563090.

It is an arithmetic number, because the mean of its divisors is an integer number (4035275952).

Almost surely, 2100231044144 is an apocalyptic number.

100231044144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100231044144 is an abundant number, since it is smaller than the sum of its proper divisors (222591032016).

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

100231044144 is a wasteful number, since it uses less digits than its factorization.

100231044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27118818 (or 27118812 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100231044144 its reverse (441440132001), we get a palindrome (541671176145).

The spelling of 100231044144 in words is "one hundred billion, two hundred thirty-one million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 27118789 54237578 81356367 108475156 162712734 189831523 216950312 298306679 325425468 379663046 433900624 569494569 596613358 650850936 759326092 894920037 1138989138 1193226716 1301701872 1518652184 1789840074 2088146753 2277978276 2386453432 3037304368 3579680148 4176293506 4555956552 4772906864 6264440259 7159360296 8352587012 9111913104 12528880518 14318720592 16705174024 25057761036 33410348048 50115522072 100231044144