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100101120 = 210357319
BaseRepresentation
bin1011111011101…
…10110000000000
320222100122220220
411331312300000
5201111213440
613533303040
72323563000
oct575666000
9228318826
10100101120
11515604a9
1229634a80
131797a842
14d41a000
158bc48d0
hex5f76c00

100101120 has 352 divisors, whose sum is σ = 393024000. Its totient is φ = 21676032.

The previous prime is 100101107. The next prime is 100101121. The reversal of 100101120 is 21101001.

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 junction number, because it is equal to n+sod(n) for n = 100101099 and 100101108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5268471 + ... + 5268489.

Almost surely, 2100101120 is an apocalyptic number.

100101120 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 100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196512000).

100101120 is an abundant number, since it is smaller than the sum of its proper divisors (292922880).

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

100101120 is an equidigital number, since it uses as much as digits as its factorization.

100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100101120 is about 10005.0547224890. The cubic root of 100101120 is about 464.3152831436.

Adding to 100101120 its reverse (21101001), we get a palindrome (121202121).

The spelling of 100101120 in words is "one hundred million, one hundred one thousand, one hundred twenty".