Search a number
-
+
100230132210000 = 243541317531511889
BaseRepresentation
bin10110110010100010100101…
…011011010001100101010000
3111010212220111020200002011220
4112302202211123101211100
5101114132302321210000
6553101030450405040
730053250053512062
oct2662424533214520
9433786436602156
10100230132210000
1129a333a6702771
12b2a9330590780
1343c087903a880
141aa7242b15732
15b8c3382861a0
hex5b28a56d1950

100230132210000 has 1600 divisors, whose sum is σ = 378592853506560. Its totient is φ = 22619750400000.

The previous prime is 100230132209969. The next prime is 100230132210007. The reversal of 100230132210000 is 12231032001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100230132210007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53059889056 + ... + 53059890944.

Almost surely, 2100230132210000 is an apocalyptic number.

100230132210000 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 100230132210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189296426753280).

100230132210000 is an abundant number, since it is smaller than the sum of its proper divisors (278362721296560).

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

100230132210000 is a wasteful number, since it uses less digits than its factorization.

100230132210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100230132210000 its reverse (12231032001), we get a palindrome (100242363242001).

The spelling of 100230132210000 in words is "one hundred trillion, two hundred thirty billion, one hundred thirty-two million, two hundred ten thousand".