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1001111010000 = 2435433370367
BaseRepresentation
bin11101001000101101101…
…11011011101011010000
310112201001010222120200120
432210112313123223100
5112400233404310000
62043523135150240
7132220315116153
oct16442667335320
93481033876616
101001111010000
11356629080182
12142032075380
13735345029ca
143664dc0dc9a
151b0940746a0
hexe916ddbad0

1001111010000 has 100 divisors (see below), whose sum is σ = 3231719918592. Its totient is φ = 266962928000.

The previous prime is 1001111009981. The next prime is 1001111010013. The reversal of 1001111010000 is 101111001.

It is a tau number, because it is divible by the number of its divisors (100).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16655184 + ... + 16715183.

Almost surely, 21001111010000 is an apocalyptic number.

1001111010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001111010000 is an abundant number, since it is smaller than the sum of its proper divisors (2230608908592).

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

1001111010000 is an equidigital number, since it uses as much as digits as its factorization.

1001111010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33370398 (or 33370377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001111010000 its reverse (101111001), we get a palindrome (1001212121001).

It can be divided in two parts, 100111 and 1010000, that added together give a palindrome (1110111).

The spelling of 1001111010000 in words is "one trillion, one billion, one hundred eleven million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 33370367 66740734 100111101 133481468 166851835 200222202 266962936 333703670 400444404 500555505 533925872 667407340 800888808 834259175 1001111010 1334814680 1601777616 1668518350 2002222020 2502777525 2669629360 3337036700 4004444040 4171295875 5005555050 6674073400 8008888080 8342591750 10011110100 12513887625 13348146800 16685183500 20022220200 20856479375 25027775250 33370367000 40044440400 41712958750 50055550500 62569438125 66740734000 83425917500 100111101000 125138876250 166851835000 200222202000 250277752500 333703670000 500555505000 1001111010000