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142232223101100 = 2235211811160733071
BaseRepresentation
bin100000010101110000000101…
…001000100011000010101100
3200122121021020011211012211120
4200111300011020203002230
5122120313043103213400
61222300325315020540
741646640036422246
oct4025600510430254
9618537204735746
10142232223101100
114135738aa54aa0
1213b5168389a750
1361495970b8462
14271a10d639096
151169bbe7e8ca0
hex815c052230ac

142232223101100 has 288 divisors, whose sum is σ = 449783484014592. Its totient is φ = 34415552160000.

The previous prime is 142232223101053. The next prime is 142232223101107. The reversal of 142232223101100 is 1101322232241.

It is not an unprimeable number, because it can be changed into a prime (142232223101107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4300797565 + ... + 4300830635.

It is an arithmetic number, because the mean of its divisors is an integer number (1561748208384).

Almost surely, 2142232223101100 is an apocalyptic number.

142232223101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142232223101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224891742007296).

142232223101100 is an abundant number, since it is smaller than the sum of its proper divisors (307551260913492).

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

142232223101100 is a wasteful number, since it uses less digits than its factorization.

142232223101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35517 (or 35510 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 142232223101100 its reverse (1101322232241), we get a palindrome (143333545333341).

The spelling of 142232223101100 in words is "one hundred forty-two trillion, two hundred thirty-two billion, two hundred twenty-three million, one hundred one thousand, one hundred".