Search a number
-
+
110100132122130 = 233531127103575887
BaseRepresentation
bin11001000010001010101111…
…010000111100111000010010
3112102211110200111210121212000
4121002022233100330320102
5103412340032310402010
61030055145154414430
732122320624515013
oct3102125720747022
9472743614717760
10110100132122130
1132099227307637
1210422187591416
134958523290577
141d28c3675500a
15cade553497c0
hex6422af43ce12

110100132122130 has 128 divisors (see below), whose sum is σ = 305457722818560. Its totient is φ = 28189213133760.

The previous prime is 110100132122129. The next prime is 110100132122203. The reversal of 110100132122130 is 31221231001011.

110100132122130 is a `hidden beast` number, since 110 + 10 + 0 + 1 + 321 + 221 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 50724954 + ... + 52850933.

It is an arithmetic number, because the mean of its divisors is an integer number (2386388459520).

Almost surely, 2110100132122130 is an apocalyptic number.

110100132122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110100132122130 is an abundant number, since it is smaller than the sum of its proper divisors (195357590696430).

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

110100132122130 is a wasteful number, since it uses less digits than its factorization.

110100132122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103576061 (or 103576055 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110100132122130 its reverse (31221231001011), we get a palindrome (141321363123141).

The spelling of 110100132122130 in words is "one hundred ten trillion, one hundred billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 127 135 155 186 254 270 279 310 381 465 558 635 762 837 930 1143 1270 1395 1674 1905 2286 2790 3429 3810 3937 4185 5715 6858 7874 8370 11430 11811 17145 19685 23622 34290 35433 39370 59055 70866 106299 118110 177165 212598 354330 531495 1062990 103575887 207151774 310727661 517879435 621455322 932182983 1035758870 1553638305 1864365966 2796548949 3107276610 3210852497 4660914915 5593097898 6421704994 9321829830 9632557491 13154137649 13982744745 16054262485 19265114982 26308275298 27965489490 28897672473 32108524970 39462412947 48162787455 57795344946 65770688245 78924825894 86693017419 96325574910 118387238841 131541376490 144488362365 173386034838 197312064735 236774477682 288976724730 355161716523 394624129470 407778267119 433465087095 591936194205 710323433046 815556534238 866930174190 1183872388410 1223334801357 1775808582615 2038891335595 2446669602714 3551617165230 3670004404071 4077782671190 6116674006785 7340008808142 11010013212213 12233348013570 18350022020355 22020026424426 36700044040710 55050066061065 110100132122130