Search a number
-
+
101420042240 = 2115111947389
BaseRepresentation
bin101111001110100011…
…0110000100000000000
3100200210010200221222202
41132131012300200000
53130202012322430
6114331451252332
710220166064226
oct1363506604000
9320703627882
10101420042240
113a014a73930
12177a544a0a8
139743a8791a
144ca18acb16
152988c3cd45
hex179d1b0800

101420042240 has 192 divisors, whose sum is σ = 279449352000. Its totient is φ = 34938224640.

The previous prime is 101420042239. The next prime is 101420042257. The reversal of 101420042240 is 42240024101.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2116466 + ... + 2163854.

It is an arithmetic number, because the mean of its divisors is an integer number (1455465375).

Almost surely, 2101420042240 is an apocalyptic number.

101420042240 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 101420042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139724676000).

101420042240 is an abundant number, since it is smaller than the sum of its proper divisors (178029309760).

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

101420042240 is a wasteful number, since it uses less digits than its factorization.

101420042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47446 (or 47426 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 101420042240 its reverse (42240024101), we get a palindrome (143660066341).

The spelling of 101420042240 in words is "one hundred one billion, four hundred twenty million, forty-two thousand, two hundred forty".