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1010011131330 = 235176197334699
BaseRepresentation
bin11101011001010010101…
…10101100110111000010
310120120000102010120220220
432230221112230313002
5113022000322200310
62051554231443510
7132654005651565
oct16545126546702
93516012116826
101010011131330
1135a385a53053
121438b6826596
13743223827a6
1436c55c664dc
151b4155c2670
hexeb295acdc2

1010011131330 has 128 divisors (see below), whose sum is σ = 2635593811200. Its totient is φ = 246766141440.

The previous prime is 1010011131329. The next prime is 1010011131377. The reversal of 1010011131330 is 331311100101.

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, 2850321 + ... + 3185019.

It is an arithmetic number, because the mean of its divisors is an integer number (20590576650).

Almost surely, 21010011131330 is an apocalyptic number.

1010011131330 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 1010011131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317796905600).

1010011131330 is an abundant number, since it is smaller than the sum of its proper divisors (1625582679870).

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

1010011131330 is a wasteful number, since it uses less digits than its factorization.

1010011131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334884.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1010011131330 its reverse (331311100101), we get a palindrome (1341322231431).

The spelling of 1010011131330 in words is "one trillion, ten billion, eleven million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 97 102 122 170 183 194 255 291 305 366 485 510 582 610 915 970 1037 1455 1649 1830 2074 2910 3111 3298 4947 5185 5917 6222 8245 9894 10370 11834 15555 16490 17751 24735 29585 31110 35502 49470 59170 88755 100589 177510 201178 301767 334699 502945 603534 669398 1004097 1005890 1508835 1673495 2008194 3017670 3346990 5020485 5689883 10040970 11379766 17069649 20416639 28449415 32465803 34139298 40833278 56898830 61249917 64931606 85348245 97397409 102083195 122499834 162329015 170696490 194794818 204166390 306249585 324658030 347082863 486987045 551918651 612499170 694165726 973974090 1041248589 1103837302 1655755953 1735414315 1980413983 2082497178 2759593255 3311511906 3470828630 3960827966 5206242945 5519186510 5941241949 8278779765 9902069915 10412485890 11882483898 16557559530 19804139830 29706209745 33667037711 59412419490 67334075422 101001113133 168335188555 202002226266 336670377110 505005565665 1010011131330