Search a number
-
+
1110003131000 = 23531319841549
BaseRepresentation
bin10000001001110001010…
…101111010001001111000
310221010010000201110210002
4100021301111322021320
5121141241300143000
62205532311212132
7143123624636531
oct20116125721170
93833100643702
101110003131000
11398827914405
1215b161977048
13808993208ba
143ba1dc03688
151dd18c7b8d5
hex1027157a278

1110003131000 has 64 divisors (see below), whose sum is σ = 2599379640000. Its totient is φ = 443664105600.

The previous prime is 1110003130997. The next prime is 1110003131053. The reversal of 1110003131000 is 1313000111.

It is a happy number.

It is a super-2 number, since 2×11100031310002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898226 + ... + 1739774.

It is an arithmetic number, because the mean of its divisors is an integer number (40615306875).

Almost surely, 21110003131000 is an apocalyptic number.

1110003131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110003131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299689820000).

1110003131000 is an abundant number, since it is smaller than the sum of its proper divisors (1489376509000).

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

1110003131000 is a wasteful number, since it uses less digits than its factorization.

1110003131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842889 (or 842875 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1110003131000 its reverse (1313000111), we get a palindrome (1111316131111).

The spelling of 1110003131000 in words is "one trillion, one hundred ten billion, three million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1319 2638 5276 6595 10552 13190 26380 32975 52760 65950 131900 164875 263800 329750 659500 841549 1319000 1683098 3366196 4207745 6732392 8415490 16830980 21038725 33661960 42077450 84154900 105193625 168309800 210387250 420774500 841549000 1110003131 2220006262 4440012524 5550015655 8880025048 11100031310 22200062620 27750078275 44400125240 55500156550 111000313100 138750391375 222000626200 277500782750 555001565500 1110003131000