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2100103320 = 2335723711531
BaseRepresentation
bin111110100101101…
…0000100010011000
312102100201022011110
41331023100202120
513300111301240
6544220300320
7103020404130
oct17513204230
95370638143
102100103320
119884a9787
124a73a16a0
13276125bb3
1415ccb5ac0
15c4587c80
hex7d2d0898

2100103320 has 256 divisors, whose sum is σ = 7624212480. Its totient is φ = 452390400.

The previous prime is 2100103309. The next prime is 2100103333. The reversal of 2100103320 is 233010012.

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 = 2100103296 and 2100103305.

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, 1370955 + ... + 1372485.

It is an arithmetic number, because the mean of its divisors is an integer number (29782080).

Almost surely, 22100103320 is an apocalyptic number.

2100103320 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 2100103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812106240).

2100103320 is an abundant number, since it is smaller than the sum of its proper divisors (5524109160).

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

2100103320 is a wasteful number, since it uses less digits than its factorization.

2100103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2100103320 is about 45826.8842493137. The cubic root of 2100103320 is about 1280.6001661414.

Adding to 2100103320 its reverse (233010012), we get a palindrome (2333113332).

The spelling of 2100103320 in words is "two billion, one hundred million, one hundred three thousand, three hundred twenty".