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1121001011112 = 2331011814096247
BaseRepresentation
bin10000010100000000110…
…111011111011110101000
310222011111111011200002010
4100110000313133132220
5121331302224323422
62214551502035520
7143663310243123
oct20240067373650
93864444150063
101121001011112
113a2460934524
12161310b78ba0
138192c985378
143c3846c13ba
151e25e54cb0c
hex10500ddf7a8

1121001011112 has 128 divisors (see below), whose sum is σ = 2853301651200. Its totient is φ = 366964992000.

The previous prime is 1121001011107. The next prime is 1121001011147. The reversal of 1121001011112 is 2111101001211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 179443173 + ... + 179449419.

It is an arithmetic number, because the mean of its divisors is an integer number (22291419150).

Almost surely, 21121001011112 is an apocalyptic number.

1121001011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121001011112 is an abundant number, since it is smaller than the sum of its proper divisors (1732300640088).

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

1121001011112 is a wasteful number, since it uses less digits than its factorization.

1121001011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6943 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1121001011112 its reverse (2111101001211), we get a palindrome (3232102012323).

Subtracting 1121001011112 from its reverse (2111101001211), we obtain a palindrome (990099990099).

The spelling of 1121001011112 in words is "one trillion, one hundred twenty-one billion, one million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 101 181 202 303 362 404 409 543 606 724 808 818 1086 1212 1227 1448 1636 2172 2424 2454 3272 4344 4908 6247 9816 12494 18281 18741 24988 36562 37482 41309 49976 54843 73124 74029 74964 82618 109686 123927 146248 148058 149928 165236 219372 222087 247854 296116 330472 438744 444174 495708 592232 630947 888348 991416 1130707 1261894 1776696 1892841 2261414 2523788 2555023 3392121 3785682 4522828 5047576 5110046 6784242 7476929 7571364 7665069 9045656 10220092 13568484 14953858 15142728 15330138 20440184 22430787 27136968 29907716 30660276 44861574 59815432 61320552 89723148 114201407 179446296 228402814 258057323 342604221 456805628 462459163 516114646 685208442 774171969 913611256 924918326 1032229292 1370416884 1387377489 1548343938 1849836652 2064458584 2740833768 2774754978 3096687876 3699673304 5549509956 6193375752 11099019912 46708375463 93416750926 140125126389 186833501852 280250252778 373667003704 560500505556 1121001011112