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1000022313000 = 233532314493077
BaseRepresentation
bin11101000110101011111…
…10011000100000101000
310112121020021102001011110
432203111332120200220
5112341021203004000
62043223124430320
7132151325260344
oct16432576304050
93477207361143
101000022313000
1135611a585a97
121419895483a0
13733bcaab9b9
14365893b4624
151b02d6c2850
hexe8d5f98828

1000022313000 has 128 divisors (see below), whose sum is σ = 3255725041920. Its totient is φ = 255078137600.

The previous prime is 1000022312981. The next prime is 1000022313029. The reversal of 1000022313000 is 3132200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 7177539 + ... + 7315538.

It is an arithmetic number, because the mean of its divisors is an integer number (25435351890).

Almost surely, 21000022313000 is an apocalyptic number.

1000022313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000022313000 is an abundant number, since it is smaller than the sum of its proper divisors (2255702728920).

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

1000022313000 is a wasteful number, since it uses less digits than its factorization.

1000022313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14493124 (or 14493110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1000022313000 its reverse (3132200001), we get a palindrome (1003154513001).

The spelling of 1000022313000 in words is "one trillion, twenty-two million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 14493077 28986154 43479231 57972308 72465385 86958462 115944616 144930770 173916924 217396155 289861540 333340771 347833848 362326925 434792310 579723080 666681542 724653850 869584620 1000022313 1086980775 1333363084 1449307700 1666703855 1739169240 1811634625 2000044626 2173961550 2666726168 2898615400 3333407710 3623269250 4000089252 4347923100 5000111565 5434903875 6666815420 7246538500 8000178504 8333519275 8695846200 10000223130 10869807750 13333630840 14493077000 16667038550 20000446260 21739615500 25000557825 33334077100 40000892520 41667596375 43479231000 50001115650 66668154200 83335192750 100002231300 125002789125 166670385500 200004462600 250005578250 333340771000 500011156500 1000022313000