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2100465141 = 317173317751
BaseRepresentation
bin111110100110010…
…1000110111110101
312102101101200111020
41331030220313311
513300204341031
6544232131353
7103023442035
oct17514506765
95371350436
102100465141
11988726605
124a7536b59
132762217a8
1415cd6b8c5
15c460a096
hex7d328df5

2100465141 has 32 divisors (see below), whose sum is σ = 2995895808. Its totient is φ = 1304448000.

The previous prime is 2100465097. The next prime is 2100465149. The reversal of 2100465141 is 1415640012.

It is a happy number.

It is not a de Polignac number, because 2100465141 - 211 = 2100463093 is a prime.

It is a super-2 number, since 2×21004651412 = 8823907617112299762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100465149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2796516 + ... + 2797266.

It is an arithmetic number, because the mean of its divisors is an integer number (93621744).

Almost surely, 22100465141 is an apocalyptic number.

It is an amenable number.

2100465141 is a deficient number, since it is larger than the sum of its proper divisors (895430667).

2100465141 is a wasteful number, since it uses less digits than its factorization.

2100465141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2100465141 is about 45830.8317729452. The cubic root of 2100465141 is about 1280.6737056067.

The spelling of 2100465141 in words is "two billion, one hundred million, four hundred sixty-five thousand, one hundred forty-one".

Divisors: 1 3 17 51 173 317 519 751 951 2253 2941 5389 8823 12767 16167 38301 54841 129923 164523 238067 389769 714201 932297 2208691 2796891 4047139 6626073 12141417 41185591 123556773 700155047 2100465141