Search a number
-
+
142103314031100 = 2235261283127721487
BaseRepresentation
bin100000010011111000000001…
…100011011110000111111100
3200122010221111021122221211120
4200103320001203132013330
5122111210041342443400
61222121210010150540
741634424410413652
oct4023700143360774
9618127437587746
10142103314031100
114130774a165804
1213b306a8422450
13613a39223a146
142713ba0dcadd2
151166677628ca0
hex813e018de1fc

142103314031100 has 288 divisors, whose sum is σ = 419717042390016. Its totient is φ = 37110481689600.

The previous prime is 142103314031099. The next prime is 142103314031143. The reversal of 142103314031100 is 1130413301241.

It is a happy number.

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, 6613444557 + ... + 6613466043.

It is an arithmetic number, because the mean of its divisors is an integer number (1457350841632).

Almost surely, 2142103314031100 is an apocalyptic number.

142103314031100 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 142103314031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209858521195008).

142103314031100 is an abundant number, since it is smaller than the sum of its proper divisors (277613728358916).

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

142103314031100 is a wasteful number, since it uses less digits than its factorization.

142103314031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23125 (or 23118 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 142103314031100 its reverse (1130413301241), we get a palindrome (143233727332341).

The spelling of 142103314031100 in words is "one hundred forty-two trillion, one hundred three billion, three hundred fourteen million, thirty-one thousand, one hundred".