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100223130000 = 2435472292351
BaseRepresentation
bin101110101010111000…
…0111001100110010000
3100120200201111112001210
41131111300321212100
53120224110130000
6114013013300120
710145423356200
oct1352560714620
9316621445053
10100223130000
1139560386a64
1217510634640
1395b2b04a26
144bca944400
152918b12350
hex1755c39990

100223130000 has 600 divisors, whose sum is σ = 389498820480. Its totient is φ = 22108800000.

The previous prime is 100223129999. The next prime is 100223130047. The reversal of 100223130000 is 31322001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42628825 + ... + 42631175.

Almost surely, 2100223130000 is an apocalyptic number.

100223130000 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 100223130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194749410240).

100223130000 is an abundant number, since it is smaller than the sum of its proper divisors (289275690480).

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

100223130000 is a wasteful number, since it uses less digits than its factorization.

100223130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100223130000 its reverse (31322001), we get a palindrome (100254452001).

The spelling of 100223130000 in words is "one hundred billion, two hundred twenty-three million, one hundred thirty thousand".