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1331110203000 = 23353508787223
BaseRepresentation
bin10011010111101100010…
…110011100111001111000
311201020211100200111210220
4103113230112130321320
5133302103202444000
62455300435140040
7165112103016564
oct23275426347170
94636740614726
101331110203000
1147358000a166
12195b8a144620
13986a54a3296
14485d722a6a4
152495a24d1a0
hex135ec59ce78

1331110203000 has 128 divisors (see below), whose sum is σ = 4153927864320. Its totient is φ = 354888873600.

The previous prime is 1331110202969. The next prime is 1331110203119. The reversal of 1331110203000 is 3020111331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15217389 + ... + 15304611.

It is an arithmetic number, because the mean of its divisors is an integer number (32452561440).

Almost surely, 21331110203000 is an apocalyptic number.

1331110203000 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 1331110203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076963932160).

1331110203000 is an abundant number, since it is smaller than the sum of its proper divisors (2822817661320).

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

1331110203000 is a wasteful number, since it uses less digits than its factorization.

1331110203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92334 (or 92320 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1331110203000 its reverse (3020111331), we get a palindrome (1334130314331).

The spelling of 1331110203000 in words is "one trillion, three hundred thirty-one billion, one hundred ten million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5087 10174 15261 20348 25435 30522 40696 50870 61044 76305 87223 101740 122088 127175 152610 174446 203480 254350 261669 305220 348892 381525 436115 508700 523338 610440 635875 697784 763050 872230 1017400 1046676 1271750 1308345 1526100 1744460 1907625 2093352 2180575 2543500 2616690 3052200 3488920 3815250 4361150 5087000 5233380 6541725 7630500 8722300 10466760 10902875 13083450 15261000 17444600 21805750 26166900 32708625 43611500 52333800 65417250 87223000 130834500 261669000 443703401 887406802 1331110203 1774813604 2218517005 2662220406 3549627208 4437034010 5324440812 6655551015 8874068020 10648881624 11092585025 13311102030 17748136040 22185170050 26622204060 33277755075 44370340100 53244408120 55462925125 66555510150 88740680200 110925850250 133111020300 166388775375 221851700500 266222040600 332777550750 443703401000 665555101500 1331110203000