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12111101030 = 25719232831399
BaseRepresentation
bin10110100011110000…
…01011110001100110
31011021001011200022102
423101320023301212
5144300420213110
65321434532102
7606060442310
oct132170136146
934231150272
1012111101030
115155445506
12241bb97032
1311b0194092
1482c69c7b0
154ad3b95a5
hex2d1e0bc66

12111101030 has 128 divisors (see below), whose sum is σ = 27482112000. Its totient is φ = 3746818944.

The previous prime is 12111101003. The next prime is 12111101033. The reversal of 12111101030 is 3010111121.

It is a happy number.

12111101030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111101033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8656271 + ... + 8657669.

It is an arithmetic number, because the mean of its divisors is an integer number (214704000).

Almost surely, 212111101030 is an apocalyptic number.

12111101030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12111101030 is an abundant number, since it is smaller than the sum of its proper divisors (15371010970).

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

12111101030 is a wasteful number, since it uses less digits than its factorization.

12111101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 12111101030 its reverse (3010111121), we get a palindrome (15121212151).

The spelling of 12111101030 in words is "twelve billion, one hundred eleven million, one hundred one thousand, thirty".

Divisors: 1 2 5 7 10 14 19 23 35 38 46 70 95 115 133 161 190 230 266 283 322 437 566 665 805 874 1330 1399 1415 1610 1981 2185 2798 2830 3059 3962 4370 5377 6118 6509 6995 9793 9905 10754 13018 13990 15295 19586 19810 26581 26885 30590 32177 32545 37639 45563 48965 53162 53770 64354 65090 75278 91126 97930 123671 132905 160885 186067 188195 225239 227815 247342 265810 321770 372134 376390 395917 450478 455630 611363 618355 791834 865697 930335 1126195 1222726 1236710 1731394 1860670 1979585 2252390 2771419 3056815 3959170 4279541 4328485 5542838 6113630 7522423 8559082 8656970 9106091 13857095 15044846 18212182 21397705 27714190 37612115 42795410 45530455 52656961 63742637 75224230 91060910 105313922 127485274 173015729 263284805 318713185 346031458 526569610 637426370 865078645 1211110103 1730157290 2422220206 6055550515 12111101030