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100023130020 = 2235112310165239
BaseRepresentation
bin101110100100111010…
…1111101011110100100
3100120011210011110200010
41131021311331132210
53114321410130040
6113541110450220
710140444401652
oct1351165753644
9316153143603
10100023130020
11394684a4020
1217475663970
13958054a748
144bac161dd2
1529062a7e80
hex1749d7d7a4

100023130020 has 192 divisors, whose sum is σ = 321970360320. Its totient is φ = 22963776000.

The previous prime is 100023130013. The next prime is 100023130063. The reversal of 100023130020 is 20031320001.

It is a happy number.

It is a super-3 number, since 3×1000231300203 (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100023129978 and 100023130005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1500561 + ... + 1565799.

It is an arithmetic number, because the mean of its divisors is an integer number (1676928960).

Almost surely, 2100023130020 is an apocalyptic number.

100023130020 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 100023130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160985180160).

100023130020 is an abundant number, since it is smaller than the sum of its proper divisors (221947230300).

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

100023130020 is a wasteful number, since it uses less digits than its factorization.

100023130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65386 (or 65384 counting only the distinct ones).

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

Adding to 100023130020 its reverse (20031320001), we get a palindrome (120054450021).

The spelling of 100023130020 in words is "one hundred billion, twenty-three million, one hundred thirty thousand, twenty".