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12002132031010 = 25112172232616491
BaseRepresentation
bin1010111010100111011011…
…0100001111011000100010
31120111101121012212111111221
42232221312310033120202
53033120331244443020
641305411530525254
72346061006664242
oct256516664173042
946441535774457
1012002132031010
113908091700300
12141a11589682a
13690a47313cb4
142d6c98c05b22
1515c30a1b36aa
hexaea76d0f622

12002132031010 has 96 divisors (see below), whose sum is σ = 25255971611136. Its totient is φ = 4089259891200.

The previous prime is 12002132030981. The next prime is 12002132031091. The reversal of 12002132031010 is 1013023120021.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3278865 + ... + 5895355.

It is an arithmetic number, because the mean of its divisors is an integer number (263083037616).

Almost surely, 212002132031010 is an apocalyptic number.

12002132031010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002132031010 is an abundant number, since it is smaller than the sum of its proper divisors (13253839580126).

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

12002132031010 is a wasteful number, since it uses less digits than its factorization.

12002132031010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616760 (or 2616749 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12002132031010 its reverse (1013023120021), we get a palindrome (13015155151031).

The spelling of 12002132031010 in words is "twelve trillion, two billion, one hundred thirty-two million, thirty-one thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 223 242 374 446 605 935 1115 1210 1870 2057 2230 2453 3791 4114 4906 7582 10285 12265 18955 20570 24530 26983 37910 41701 53966 83402 134915 208505 269830 417010 458711 917422 2293555 2616491 4587110 5232982 13082455 26164910 28781401 44480347 57562802 88960694 143907005 222401735 287814010 316595411 444803470 489283817 583477493 633190822 978567634 1166954986 1582977055 2446419085 2917387465 3165954110 4892838170 5382121987 5834774930 6418252423 9919117381 10764243974 12836504846 19838234762 26910609935 32091262115 49595586905 53821219870 64182524230 70600776653 99191173810 109110291191 141201553306 218220582382 353003883265 545551455955 706007766530 1091102911910 1200213203101 2400426406202 6001066015505 12002132031010