Search a number
-
+
1012000131330 = 2351723359240319
BaseRepresentation
bin11101011100111111110…
…10001000100100000010
310120202011000210020222120
432232133322020210002
5113040034013200310
62052523442545110
7133054210120446
oct16563772104402
93522130706876
101012000131330
11360206767201
12144170968196
137457b478076
1436da409a826
151b4d0010b70
hexeb9fe88902

1012000131330 has 128 divisors (see below), whose sum is σ = 2690968780800. Its totient is φ = 242271304704.

The previous prime is 1012000131323. The next prime is 1012000131349. The reversal of 1012000131330 is 331310002101.

1012000131330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4090911 + ... + 4331229.

It is an arithmetic number, because the mean of its divisors is an integer number (21023193600).

Almost surely, 21012000131330 is an apocalyptic number.

1012000131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012000131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345484390400).

1012000131330 is an abundant number, since it is smaller than the sum of its proper divisors (1678968649470).

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

1012000131330 is a wasteful number, since it uses less digits than its factorization.

1012000131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240728.

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

Adding to 1012000131330 its reverse (331310002101), we get a palindrome (1343310133431).

The spelling of 1012000131330 in words is "one trillion, twelve billion, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 359 391 510 690 718 782 1077 1173 1795 1955 2154 2346 3590 3910 5385 5865 6103 8257 10770 11730 12206 16514 18309 24771 30515 36618 41285 49542 61030 82570 91545 123855 140369 183090 240319 247710 280738 421107 480638 701845 720957 842214 1201595 1403690 1441914 2105535 2403190 3604785 4085423 4211070 5527337 7209570 8170846 11054674 12256269 16582011 20427115 24512538 27636685 33164022 40854230 55273370 61281345 82910055 86274521 93964729 122562690 165820110 172549042 187929458 258823563 281894187 431372605 469823645 517647126 563788374 862745210 939647290 1294117815 1409470935 1466666857 1984313983 2588235630 2818941870 2933333714 3968627966 4400000571 5952941949 7333334285 8800001142 9921569915 11905883898 14666668570 19843139830 22000002855 29764709745 33733337711 44000005710 59529419490 67466675422 101200013133 168666688555 202400026266 337333377110 506000065665 1012000131330