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20120100 = 223527111367
BaseRepresentation
bin100110011000…
…0001000100100
31101212012120220
41030300020210
520122320400
61555124340
7333006120
oct114601044
941765526
1020120100
11103a2590
1268a36b0
134225cb0
14295a580
151b767a0
hex1330224

20120100 has 288 divisors, whose sum is σ = 79328256. Its totient is φ = 3801600.

The previous prime is 20120081. The next prime is 20120143. The reversal of 20120100 is 102102.

Adding to 20120100 its reverse (102102), we get a palindrome (20222202).

It can be divided in two parts, 201 and 20100, that multiplied together give a square (4040100 = 20102).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 300267 + ... + 300333.

Almost surely, 220120100 is an apocalyptic number.

20120100 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 20120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39664128).

20120100 is an abundant number, since it is smaller than the sum of its proper divisors (59208156).

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

20120100 is a wasteful number, since it uses less digits than its factorization.

20120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 20120100 is about 4485.5434453364. The cubic root of 20120100 is about 271.9840136222.

The spelling of 20120100 in words is "twenty million, one hundred twenty thousand, one hundred".