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2100103140 = 2235137255487
BaseRepresentation
bin111110100101101…
…0000011111100100
312102100201021220210
41331023100133210
513300111300030
6544220255420
7103020403452
oct17513203744
95370637823
102100103140
119884a9633
124a73a1570
13276125aa5
1415ccb59d2
15c4587bb0
hex7d2d07e4

2100103140 has 48 divisors (see below), whose sum is σ = 5923233792. Its totient is φ = 555937536.

The previous prime is 2100103139. The next prime is 2100103147. The reversal of 2100103140 is 413010012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2100103147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119524 + ... + 135963.

It is an arithmetic number, because the mean of its divisors is an integer number (123400704).

Almost surely, 22100103140 is an apocalyptic number.

2100103140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100103140 is an abundant number, since it is smaller than the sum of its proper divisors (3823130652).

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

2100103140 is a wasteful number, since it uses less digits than its factorization.

2100103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255636 (or 255634 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100103140 is about 45826.8822854010. The cubic root of 2100103140 is about 1280.6001295546.

Adding to 2100103140 its reverse (413010012), we get a palindrome (2513113152).

The spelling of 2100103140 in words is "two billion, one hundred million, one hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 255487 510974 766461 1021948 1277435 1532922 2554870 3065844 3832305 5109740 7664610 15329220 35001719 70003438 105005157 140006876 175008595 210010314 350017190 420020628 525025785 700034380 1050051570 2100103140