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1001200011000 = 23353747676191
BaseRepresentation
bin11101001000111000010…
…10111100011011111000
310112201021100110022002220
432210130022330123320
5112400424200323000
62043540034524040
7132222445451250
oct16443412743370
93481240408086
101001200011000
11356674339a22
12142057a36620
1373549a95017
143665b97a960
151b09bca51a0
hexe91c2bc6f8

1001200011000 has 128 divisors (see below), whose sum is σ = 3569993256960. Its totient is φ = 228845712000.

The previous prime is 1001200010917. The next prime is 1001200011013. The reversal of 1001200011000 is 1100021001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1001200011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23817096 + ... + 23859095.

It is an arithmetic number, because the mean of its divisors is an integer number (27890572320).

Almost surely, 21001200011000 is an apocalyptic number.

1001200011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001200011000 is an abundant number, since it is smaller than the sum of its proper divisors (2568793245960).

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

1001200011000 is a wasteful number, since it uses less digits than its factorization.

1001200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47676222 (or 47676208 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001200011000 its reverse (1100021001), we get a palindrome (1002300032001).

It can be divided in two parts, 100120001 and 1000, that added together give a palindrome (100121001).

The spelling of 1001200011000 in words is "one trillion, one billion, two hundred million, eleven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 47676191 95352382 143028573 190704764 238380955 286057146 333733337 381409528 476761910 572114292 667466674 715142865 953523820 1001200011 1144228584 1191904775 1334933348 1430285730 1668666685 1907047640 2002400022 2383809550 2669866696 2860571460 3337333370 3575714325 4004800044 4767619100 5006000055 5721142920 5959523875 6674666740 7151428650 8009600088 8343333425 9535238200 10012000110 11919047750 13349333480 14302857300 16686666850 17878571625 20024000220 23838095500 25030000275 28605714600 33373333700 35757143250 40048000440 41716667125 47676191000 50060000550 66746667400 71514286500 83433334250 100120001100 125150001375 143028573000 166866668500 200240002200 250300002750 333733337000 500600005500 1001200011000