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231442001000 = 23537311066553
BaseRepresentation
bin1101011110001100000…
…1001010110001101000
3211010101120221211100222
43113203001022301220
512242443123013000
6254153433145212
722502230356260
oct3274301126150
9733346854328
10231442001000
118a176a809a1
1238a3155b208
1318a9537a2b2
14b2b7c527a0
15604898ca85
hex35e304ac68

231442001000 has 128 divisors (see below), whose sum is σ = 638908508160. Its totient is φ = 76791744000.

The previous prime is 231442000991. The next prime is 231442001009. The reversal of 231442001000 is 100244132.

It is an interprime number because it is at equal distance from previous prime (231442000991) and next prime (231442001009).

It is a self number, because there is not a number n which added to its sum of digits gives 231442001000.

It is not an unprimeable number, because it can be changed into a prime (231442001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316277 + ... + 750276.

It is an arithmetic number, because the mean of its divisors is an integer number (4991472720).

Almost surely, 2231442001000 is an apocalyptic number.

231442001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231442001000 is an abundant number, since it is smaller than the sum of its proper divisors (407466507160).

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

231442001000 is a wasteful number, since it uses less digits than its factorization.

231442001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066612 (or 1066598 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 231442001000 its reverse (100244132), we get a palindrome (231542245132).

The spelling of 231442001000 in words is "two hundred thirty-one billion, four hundred forty-two million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 125 140 155 175 200 217 248 250 280 310 350 434 500 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2170 3100 3500 3875 4340 5425 6200 7000 7750 8680 10850 15500 21700 27125 31000 43400 54250 108500 217000 1066553 2133106 4266212 5332765 7465871 8532424 10665530 14931742 21331060 26663825 29863484 33063143 37329355 42662120 53327650 59726968 66126286 74658710 106655300 132252572 133319125 149317420 165315715 186646775 213310600 231442001 264505144 266638250 298634840 330631430 373293550 462884002 533276500 661262860 746587100 826578575 925768004 933233875 1066553000 1157210005 1322525720 1493174200 1653157150 1851536008 1866467750 2314420010 3306314300 3732935500 4132892875 4628840020 5786050025 6612628600 7465871000 8265785750 9257680040 11572100050 16531571500 23144200100 28930250125 33063143000 46288400200 57860500250 115721000500 231442001000