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201012230100 = 22352112101109503
BaseRepresentation
bin1011101100110101000…
…0110011011111010100
3201012211212222022011010
42323031100303133110
511243133112330400
6232202125412220
720344161523113
oct2731520633724
9635755868133
10201012230100
1178281188700
1232b5a70a070
1315c55c4bcb6
149a2c6d3c7a
15536726e450
hex2ecd4337d4

201012230100 has 432 divisors, whose sum is σ = 652821966720. Its totient is φ = 47710080000.

The previous prime is 201012230077. The next prime is 201012230101. The reversal of 201012230100 is 1032210102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012230101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 399626449 + ... + 399626951.

It is an arithmetic number, because the mean of its divisors is an integer number (1511161960).

Almost surely, 2201012230100 is an apocalyptic number.

201012230100 is a gapful number since it is divisible by the number (20) 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 201012230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326410983360).

201012230100 is an abundant number, since it is smaller than the sum of its proper divisors (451809736620).

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

201012230100 is a wasteful number, since it uses less digits than its factorization.

201012230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201012230100 its reverse (1032210102), we get a palindrome (202044440202).

The spelling of 201012230100 in words is "two hundred one billion, twelve million, two hundred thirty thousand, one hundred".