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11242122110120 = 23511997215311903
BaseRepresentation
bin1010001110011000001010…
…1100011110010010101000
31110210201212211010021010102
42203212002230132102220
52433142331230010440
635524320512404532
72240134160153156
oct243460254362250
943721784107112
1011242122110120
113644836938970
12131696bb46748
13637187355335
142ac19b9c83d6
15147677a98b15
hexa3982b1e4a8

11242122110120 has 128 divisors (see below), whose sum is σ = 27637128253440. Its totient is φ = 4081704253440.

The previous prime is 11242122110119. The next prime is 11242122110143. The reversal of 11242122110120 is 2101122124211.

It is a super-2 number, since 2×112421221101202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11242122110092 and 11242122110101.

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 31 ways as a sum of consecutive naturals, for example, 944472089 + ... + 944483991.

It is an arithmetic number, because the mean of its divisors is an integer number (215915064480).

Almost surely, 211242122110120 is an apocalyptic number.

11242122110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242122110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818564126720).

11242122110120 is an abundant number, since it is smaller than the sum of its proper divisors (16395006143320).

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

11242122110120 is a wasteful number, since it uses less digits than its factorization.

11242122110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15075 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11242122110120 its reverse (2101122124211), we get a palindrome (13343244234331).

The spelling of 11242122110120 in words is "eleven trillion, two hundred forty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 997 1994 2153 3988 4306 4985 7976 8612 9970 10765 10967 11903 17224 19940 21530 21934 23683 23806 39880 43060 43868 47366 47612 54835 59515 86120 87736 94732 95224 109670 118415 119030 130933 189464 219340 236830 238060 261866 438680 473660 476120 523732 654665 947320 1047464 1309330 2146541 2618660 4293082 5237320 8586164 10732705 11867291 17172328 21465410 23611951 23734582 25627159 42930820 47223902 47469164 51254318 59336455 85861640 94447804 94938328 102508636 118059755 118672910 128135795 130540201 188895608 205017272 236119510 237345820 256271590 261080402 281898749 472239020 474691640 512543180 522160804 563797498 652701005 944478040 1025086360 1044321608 1127594996 1305402010 1409493745 2255189992 2610804020 2818987490 5221608040 5637974980 11275949960 25550277523 51100555046 102201110092 127751387615 204402220184 255502775230 281053052753 511005550460 562106105506 1022011100920 1124212211012 1405265263765 2248424422024 2810530527530 5621061055060 11242122110120