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2100903420 = 22357211167389
BaseRepresentation
bin111110100111001…
…0011110111111100
312102102012221200210
41331032103313330
513300312402140
6544245352420
7103030245600
oct17516236774
95372187623
102100903420
119889a5920
124a7708710
13276346125
1415d043500
15c4694d80
hex7d393dfc

2100903420 has 288 divisors, whose sum is σ = 7529034240. Its totient is φ = 432821760.

The previous prime is 2100903403. The next prime is 2100903437. The reversal of 2100903420 is 243090012.

It is an interprime number because it is at equal distance from previous prime (2100903403) and next prime (2100903437).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 5400586 + ... + 5400974.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 22100903420 is an apocalyptic number.

2100903420 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 2100903420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764517120).

2100903420 is an abundant number, since it is smaller than the sum of its proper divisors (5428130820).

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

2100903420 is a wasteful number, since it uses less digits than its factorization.

2100903420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2100903420 is about 45835.6130099729. The cubic root of 2100903420 is about 1280.7627737128.

Adding to 2100903420 its reverse (243090012), we get a palindrome (2343993432).

The spelling of 2100903420 in words is "two billion, one hundred million, nine hundred three thousand, four hundred twenty".