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1211313231330 = 2351729264730941
BaseRepresentation
bin10001101000000111111…
…001010001010111100010
311021210121111112210211020
4101220013321101113202
5124321232141400310
62324245234230310
7153341320403526
oct21500771212742
94253544483736
101211313231330
11427795816254
12176916425396
138a2c3393727
14428b0c53d86
1521797eee170
hex11a07e515e2

1211313231330 has 128 divisors (see below), whose sum is σ = 3185610094080. Its totient is φ = 293412188160.

The previous prime is 1211313231329. The next prime is 1211313231361. The reversal of 1211313231330 is 331323131121.

It is a self number, because there is not a number n which added to its sum of digits gives 1211313231330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39133660 + ... + 39164600.

It is an arithmetic number, because the mean of its divisors is an integer number (24887578860).

Almost surely, 21211313231330 is an apocalyptic number.

1211313231330 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 1211313231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592805047040).

1211313231330 is an abundant number, since it is smaller than the sum of its proper divisors (1974296862750).

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

1211313231330 is a wasteful number, since it uses less digits than its factorization.

1211313231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33644.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1211313231330 its reverse (331323131121), we get a palindrome (1542636362451).

The spelling of 1211313231330 in words is "one trillion, two hundred eleven billion, three hundred thirteen million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 870 986 1479 2465 2647 2958 4930 5294 7395 7941 13235 14790 15882 26470 30941 39705 44999 61882 76763 79410 89998 92823 134997 153526 154705 185646 224995 230289 269994 309410 383815 449990 460578 464115 525997 674985 767630 897289 928230 1051994 1151445 1304971 1349970 1577991 1794578 2302890 2609942 2629985 2691867 3155982 3914913 4486445 5259970 5383734 6524855 7829826 7889955 8972890 13049710 13459335 15253913 15779910 19574565 26918670 30507826 39149130 45761739 76269565 81900827 91523478 152539130 163801654 228808695 245702481 409504135 457617390 491404962 819008270 1228512405 1392314059 2375123983 2457024810 2784628118 4176942177 4750247966 6961570295 7125371949 8353884354 11875619915 13923140590 14250743898 20884710885 23751239830 35626859745 40377107711 41769421770 71253719490 80754215422 121131323133 201885538555 242262646266 403771077110 605656615665 1211313231330