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11121201111020 = 22572111379357793
BaseRepresentation
bin1010000111010101101100…
…1111011101111111101100
31110101011202121221001101012
42201311123033131333230
52424202204441023040
635353002000004352
72225323505502200
oct241653317357754
943334677831335
1011121201111020
1135a8525109570
1212b74439006b8
136289564014b0
142a63aa21ab00
1514444bd19865
hexa1d5b3ddfec

11121201111020 has 144 divisors (see below), whose sum is σ = 31917069884448. Its totient is φ = 3199706173440.

The previous prime is 11121201111017. The next prime is 11121201111089. The reversal of 11121201111020 is 2011110212111.

It is a super-2 number, since 2×111212011110202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11121201110986 and 11121201111004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39538757 + ... + 39819036.

It is an arithmetic number, because the mean of its divisors is an integer number (221646318642).

Almost surely, 211121201111020 is an apocalyptic number.

11121201111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121201111020 is an abundant number, since it is smaller than the sum of its proper divisors (20795868773428).

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

11121201111020 is a wasteful number, since it uses less digits than its factorization.

11121201111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79357840 (or 79357831 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11121201111020 its reverse (2011110212111), we get a palindrome (13132311323131).

The spelling of 11121201111020 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 79357793 158715586 317431172 396788965 555504551 793577930 872935723 1031651309 1111009102 1587155860 1745871446 2063302618 2222018204 2777522755 3491742892 3888531857 4126605236 4364678615 5158256545 5555045510 6110550061 7221559163 7777063714 8729357230 10316513090 11110091020 11348164399 12221100122 14443118326 15554127428 17458714460 19442659285 20633026180 22696328798 24442200244 28886236652 30552750305 36107795815 38885318570 42773850427 45392657596 50550914141 56740821995 61105500610 72215591630 77770637140 79437150793 85547700854 101101828282 113481643990 122211001220 144431183260 158874301586 171095401708 202203656564 213869252135 226963287980 252754570705 317748603172 397185753965 427738504270 505509141410 556060055551 794371507930 855477008540 1011018282820 1112120111102 1588743015860 2224240222204 2780300277755 5560600555510 11121201111020