Search a number
-
+
134124322430010 = 2351143103144763419
BaseRepresentation
bin11110011111110001000000…
…100110000001110000111010
3122120220011022122021210110210
4132133301000212001300322
5120034443103020230020
61153131510233051550
740152106513013013
oct3637610046016072
9576804278253423
10134124322430010
1139810895441620
1213062238256bb6
1359abb3bc0b973
14251991a92a00a
151078d34c1e3e0
hex79fc40981c3a

134124322430010 has 256 divisors, whose sum is σ = 363073505034240. Its totient is φ = 31428256124160.

The previous prime is 134124322429991. The next prime is 134124322430023. The reversal of 134124322430010 is 10034223421431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 134124322430010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2114860081 + ... + 2114923499.

It is an arithmetic number, because the mean of its divisors is an integer number (1418255879040).

Almost surely, 2134124322430010 is an apocalyptic number.

134124322430010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134124322430010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181536752517120).

134124322430010 is an abundant number, since it is smaller than the sum of its proper divisors (228949182604230).

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

134124322430010 is a wasteful number, since it uses less digits than its factorization.

134124322430010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65033.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 134124322430010 its reverse (10034223421431), we get a palindrome (144158545851441).

The spelling of 134124322430010 in words is "one hundred thirty-four trillion, one hundred twenty-four billion, three hundred twenty-two million, four hundred thirty thousand, ten".