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100214403140 = 22549931003549
BaseRepresentation
bin101110101010100111…
…1100111000001000100
3100120200010002011001202
41131111033213001010
53120214341400030
6114012102242032
710145256241355
oct1352517470104
9316603064052
10100214403140
1139556466385
1217509726318
1395b106a7c7
144bc9711d2c
152917e8b745
hex17553e7044

100214403140 has 24 divisors (see below), whose sum is σ = 210492605400. Its totient is φ = 40077692928.

The previous prime is 100214403067. The next prime is 100214403143. The reversal of 100214403140 is 41304412001.

It can be written as a sum of positive squares in 4 ways, for example, as 2039967556 + 98174435584 = 45166^2 + 313328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100214403143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401915 + ... + 601634.

It is an arithmetic number, because the mean of its divisors is an integer number (8770525225).

Almost surely, 2100214403140 is an apocalyptic number.

100214403140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100214403140 is an abundant number, since it is smaller than the sum of its proper divisors (110278202260).

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

100214403140 is a wasteful number, since it uses less digits than its factorization.

100214403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008551 (or 1008549 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100214403140 its reverse (41304412001), we get a palindrome (141518815141).

The spelling of 100214403140 in words is "one hundred billion, two hundred fourteen million, four hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 4993 9986 19972 24965 49930 99860 1003549 2007098 4014196 5017745 10035490 20070980 5010720157 10021440314 20042880628 25053600785 50107201570 100214403140