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100023001200 = 24335283241463
BaseRepresentation
bin101110100100111010…
…1011110000001110000
3100120011202220220222000
41131021311132001300
53114321342014300
6113541104014000
710140443324253
oct1351165360160
9316152826860
10100023001200
1139468416261
1217475601300
139580503c15
144bac12b09a
15290627ec00
hex1749d5e070

100023001200 has 480 divisors, whose sum is σ = 362573460480. Its totient is φ = 26185420800.

The previous prime is 100023001189. The next prime is 100023001219. The reversal of 100023001200 is 2100320001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216032169 + ... + 216032631.

It is an arithmetic number, because the mean of its divisors is an integer number (755361376).

Almost surely, 2100023001200 is an apocalyptic number.

100023001200 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 100023001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181286730240).

100023001200 is an abundant number, since it is smaller than the sum of its proper divisors (262550459280).

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

100023001200 is a wasteful number, since it uses less digits than its factorization.

100023001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100023001200 its reverse (2100320001), we get a palindrome (102123321201).

The spelling of 100023001200 in words is "one hundred billion, twenty-three million, one thousand, two hundred".