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2100111420 = 22351119223751
BaseRepresentation
bin111110100101101…
…0010100000111100
312102100201201021110
41331023102200330
513300112031140
6544220402020
7103020436551
oct17513224074
95370651243
102100111420
11988504880
124a73a6310
132761297a4
1415ccb8a28
15c458a380
hex7d2d283c

2100111420 has 192 divisors, whose sum is σ = 6791823360. Its totient is φ = 479520000.

The previous prime is 2100111413. The next prime is 2100111437. The reversal of 2100111420 is 241110012.

It is a happy number.

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 = 2100111396 and 2100111405.

It is a congruent number.

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, 2796045 + ... + 2796795.

It is an arithmetic number, because the mean of its divisors is an integer number (35374080).

Almost surely, 22100111420 is an apocalyptic number.

2100111420 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 2100111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395911680).

2100111420 is an abundant number, since it is smaller than the sum of its proper divisors (4691711940).

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

2100111420 is a wasteful number, since it uses less digits than its factorization.

2100111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2100111420 is about 45826.9726253000. The cubic root of 2100111420 is about 1280.6018125442.

Adding to 2100111420 its reverse (241110012), we get a palindrome (2341221432).

The spelling of 2100111420 in words is "two billion, one hundred million, one hundred eleven thousand, four hundred twenty".