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1021123013112 = 233423118158013
BaseRepresentation
bin11101101101111111010…
…11001010100111111000
310121121200211002200010000
432312333223022213320
5113212224442404422
62101033013553000
7133526244254436
oct16667753124770
93547624080100
101021123013112
11364068358324
12145a98045760
13753a3520b77
14375cb93bd56
151b865db1cac
hexedbfaca9f8

1021123013112 has 160 divisors (see below), whose sum is σ = 2987020190880. Its totient is φ = 325294168320.

The previous prime is 1021123013093. The next prime is 1021123013117. The reversal of 1021123013112 is 2113103211201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021123013117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17572618 + ... + 17630630.

It is an arithmetic number, because the mean of its divisors is an integer number (18668876193).

Almost surely, 21021123013112 is an apocalyptic number.

1021123013112 is a gapful number since it is divisible by the number (12) 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 1021123013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493510095440).

1021123013112 is an abundant number, since it is smaller than the sum of its proper divisors (1965897177768).

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

1021123013112 is a wasteful number, since it uses less digits than its factorization.

1021123013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59235 (or 59222 counting only the distinct ones).

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

Adding to 1021123013112 its reverse (2113103211201), we get a palindrome (3134226224313).

The spelling of 1021123013112 in words is "one trillion, twenty-one billion, one hundred twenty-three million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1181 1242 1656 1863 2362 2484 3543 3726 4724 4968 7086 7452 9448 10629 14172 14904 21258 27163 28344 31887 42516 54326 58013 63774 81489 85032 95661 108652 116026 127548 162978 174039 191322 217304 232052 244467 255096 325956 348078 382644 464104 488934 522117 651912 696156 733401 765288 977868 1044234 1334299 1392312 1466802 1566351 1955736 2088468 2200203 2668598 2933604 3132702 4002897 4176936 4400406 4699053 5337196 5867208 6265404 8005794 8800812 9398106 10674392 12008691 12530808 16011588 17601624 18796212 24017382 32023176 36026073 37592424 48034764 68513353 72052146 96069528 108078219 137026706 144104292 205540059 216156438 274053412 288208584 411080118 432312876 548106824 616620177 822160236 864625752 1233240354 1575807119 1644320472 1849860531 2466480708 3151614238 3699721062 4727421357 4932961416 5549581593 6303228476 7399442124 9454842714 11099163186 12606456952 14182264071 14798884248 18909685428 22198326372 28364528142 37819370856 42546792213 44396652744 56729056284 85093584426 113458112568 127640376639 170187168852 255280753278 340374337704 510561506556 1021123013112