Search a number
-
+
102134230000 = 24541129101317
BaseRepresentation
bin101111100011110101…
…1001010101111110000
3100202121220120110102021
41133013223022233300
53133132330330000
6114530403001224
710243660426255
oct1370753125760
9322556513367
10102134230000
113a351123750
1217964669214
139828a23a2a
144d2c69b42c
1529cb7b411a
hex17c7acabf0

102134230000 has 400 divisors, whose sum is σ = 282710878560. Its totient is φ = 35392000000.

The previous prime is 102134229983. The next prime is 102134230039. The reversal of 102134230000 is 32431201.

It is a happy number.

102134230000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 322189842 + ... + 322190158.

Almost surely, 2102134230000 is an apocalyptic number.

102134230000 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 102134230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141355439280).

102134230000 is an abundant number, since it is smaller than the sum of its proper divisors (180576648560).

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

102134230000 is a wasteful number, since it uses less digits than its factorization.

102134230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102134230000 its reverse (32431201), we get a palindrome (102166661201).

The spelling of 102134230000 in words is "one hundred two billion, one hundred thirty-four million, two hundred thirty thousand".