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11041100314040 = 23510313921191373
BaseRepresentation
bin1010000010101011010011…
…0111001011010110111000
31110002112000021010221220202
42200222310313023112320
52421344133140022130
635252113401541332
72216456521115636
oct240526467132670
943075007127822
1011041100314040
1135775603171a5
1212a3a0a1a4848
1362122c4371c4
142a256bd24356
1514230ea8a145
hexa0ab4dcb5b8

11041100314040 has 128 divisors (see below), whose sum is σ = 25384135795200. Its totient is φ = 4321471633920.

The previous prime is 11041100314033. The next prime is 11041100314063. The reversal of 11041100314040 is 4041300114011.

11041100314040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110411003140402 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120789794 + ... + 120881166.

It is an arithmetic number, because the mean of its divisors is an integer number (198313560900).

Almost surely, 211041100314040 is an apocalyptic number.

11041100314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11041100314040 is an abundant number, since it is smaller than the sum of its proper divisors (14343035481160).

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

11041100314040 is a wasteful number, since it uses less digits than its factorization.

11041100314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91837 (or 91833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11041100314040 its reverse (4041300114011), we get a palindrome (15082400428051).

The spelling of 11041100314040 in words is "eleven trillion, forty-one billion, one hundred million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 103 139 206 211 278 412 422 515 556 695 824 844 1030 1055 1112 1390 1688 2060 2110 2780 4120 4220 5560 8440 14317 21733 28634 29329 43466 57268 58658 71585 86932 91373 108665 114536 117316 143170 146645 173864 182746 217330 234632 286340 293290 365492 434660 456865 572680 586580 730984 869320 913730 1173160 1827460 3020887 3654920 6041774 9411419 12083548 12700847 15104435 18822838 19279703 24167096 25401694 30208870 37645676 38559406 47057095 50803388 60417740 63504235 75291352 77118812 94114190 96398515 101606776 120835480 127008470 154237624 188228380 192797030 254016940 376456760 385594060 508033880 771188120 1308187241 1985809409 2616374482 2679878717 3971618818 5232748964 5359757434 6540936205 7943237636 9929047045 10465497928 10719514868 13081872410 13399393585 15886475272 19858094090 21439029736 26163744820 26798787170 39716188180 52327489640 53597574340 79432376360 107195148680 276027507851 552055015702 1104110031404 1380137539255 2208220062808 2760275078510 5520550157020 11041100314040