Search a number
-
+
1330133203000 = 23537206991841
BaseRepresentation
bin10011010110110010000…
…111011111100000111000
311201011022021021202202201
4103112302013133200320
5133243103044444000
62455015454435544
7165045640451230
oct23266207374070
94634267252681
101330133203000
11473119575648
12195956b02bb4
139857ac59b84
1448543588cc0
15248ee5b196a
hex135b21df838

1330133203000 has 128 divisors (see below), whose sum is σ = 3558914236800. Its totient is φ = 455820288000.

The previous prime is 1330133202971. The next prime is 1330133203019. The reversal of 1330133203000 is 3023310331.

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, 14437080 + ... + 14528920.

It is an arithmetic number, because the mean of its divisors is an integer number (27804017475).

Almost surely, 21330133203000 is an apocalyptic number.

1330133203000 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 1330133203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779457118400).

1330133203000 is an abundant number, since it is smaller than the sum of its proper divisors (2228781033800).

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

1330133203000 is a wasteful number, since it uses less digits than its factorization.

1330133203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93938 (or 93924 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 1330133203000 its reverse (3023310331), we get a palindrome (1333156513331).

The spelling of 1330133203000 in words is "one trillion, three hundred thirty billion, one hundred thirty-three million, two hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2069 3500 4138 7000 8276 10345 14483 16552 20690 28966 41380 51725 57932 72415 82760 91841 103450 115864 144830 183682 206900 258625 289660 362075 367364 413800 459205 517250 579320 642887 724150 734728 918410 1034500 1285774 1448300 1810375 1836820 2069000 2296025 2571548 2896600 3214435 3620750 3673640 4592050 5143096 6428870 7241500 9184100 11480125 12857740 14483000 16072175 18368200 22960250 25715480 32144350 45920500 64288700 80360875 91841000 128577400 160721750 190019029 321443500 380038058 642887000 760076116 950095145 1330133203 1520152232 1900190290 2660266406 3800380580 4750475725 5320532812 6650666015 7600761160 9500951450 10641065624 13301332030 19001902900 23752378625 26602664060 33253330075 38003805800 47504757250 53205328120 66506660150 95009514500 133013320300 166266650375 190019029000 266026640600 332533300750 665066601500 1330133203000