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2116434210102 = 233172818204569
BaseRepresentation
bin11110110011000101010…
…011110010110100110110
321111022212221100120022000
4132303011103302310312
5234133424124210402
64300135414120130
7305623132650402
oct36630523626466
97438787316260
102116434210102
11746635a33203
122a2219650046
1312476aa88994
14746163d0102
153a0bedccc1c
hex1ecc54f2d36

2116434210102 has 64 divisors (see below), whose sum is σ = 4997567678400. Its totient is φ = 661616363520.

The previous prime is 2116434210073. The next prime is 2116434210109. The reversal of 2116434210102 is 2010124346112.

2116434210102 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 434 + 210 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116434210109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3844327 + ... + 4360242.

It is an arithmetic number, because the mean of its divisors is an integer number (78086994975).

Almost surely, 22116434210102 is an apocalyptic number.

2116434210102 is an abundant number, since it is smaller than the sum of its proper divisors (2881133468298).

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

2116434210102 is a wasteful number, since it uses less digits than its factorization.

2116434210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204878 (or 8204872 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 2116434210102 its reverse (2010124346112), we get a palindrome (4126558556214).

The spelling of 2116434210102 in words is "two trillion, one hundred sixteen billion, four hundred thirty-four million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 281 306 459 562 843 918 1686 2529 4777 5058 7587 9554 14331 15174 28662 42993 85986 128979 257958 8204569 16409138 24613707 49227414 73841121 139477673 147682242 221523363 278955346 418433019 443046726 836866038 1255299057 2305483889 2510598114 3765897171 4610967778 6916451667 7531794342 13832903334 20749355001 39193226113 41498710002 62248065003 78386452226 117579678339 124496130006 235159356678 352739035017 705478070034 1058217105051 2116434210102