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2134102293 = 3217253113137
BaseRepresentation
bin111111100110011…
…1101000100010101
312111201200121222200
41333030331010111
513332312233133
6551433115113
7103612366401
oct17714750425
95451617880
102134102293
119a5710704
124b6858a99
1328019b12b
14163606101
15c7551913
hex7f33d115

2134102293 has 72 divisors (see below), whose sum is σ = 3390466248. Its totient is φ = 1292648448.

The previous prime is 2134102273. The next prime is 2134102297. The reversal of 2134102293 is 3922014312.

It is a happy number.

2134102293 is a `hidden beast` number, since 21 + 3 + 410 + 229 + 3 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 146458404 + 1987643889 = 12102^2 + 44583^2 .

It is not a de Polignac number, because 2134102293 - 213 = 2134094101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134102297) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15577321 + ... + 15577457.

It is an arithmetic number, because the mean of its divisors is an integer number (47089809).

Almost surely, 22134102293 is an apocalyptic number.

It is an amenable number.

2134102293 is a deficient number, since it is larger than the sum of its proper divisors (1256363955).

2134102293 is a wasteful number, since it uses less digits than its factorization.

2134102293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2134102293 is about 46196.3450177609. The cubic root of 2134102293 is about 1287.4738322265.

The spelling of 2134102293 in words is "two billion, one hundred thirty-four million, one hundred two thousand, two hundred ninety-three".

Divisors: 1 3 9 17 51 53 113 137 153 159 289 339 411 477 867 901 1017 1233 1921 2329 2601 2703 5763 5989 6987 7261 8109 15317 15481 17289 17967 20961 21783 32657 39593 45951 46443 53901 65349 97971 101813 118779 123437 137853 139329 263177 293913 305439 356337 370311 789531 820493 916317 1110933 1730821 2098429 2368593 2461479 4474009 5192463 6295287 7384437 13422027 13948381 15577389 18885861 40266081 41845143 125535429 237122477 711367431 2134102293