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1123121110032 = 243263125214903
BaseRepresentation
bin10000010101111111001…
…111000001110000010000
310222100222020111212001100
4100111333033001300100
5121400123001010112
62215542115104400
7144066662630415
oct20257717016020
93870866455040
101123121110032
113a3349650199
12161802ba2100
1381ba9c8c67c
143c5060c010c
151e3357352dc
hex1057f3c1c10

1123121110032 has 120 divisors (see below), whose sum is σ = 3150051602048. Its totient is φ = 373555929600.

The previous prime is 1123121110021. The next prime is 1123121110051. The reversal of 1123121110032 is 2300111213211.

It is a super-2 number, since 2×11231211100322 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1123121109987 and 1123121110014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229065693 + ... + 229070595.

Almost surely, 21123121110032 is an apocalyptic number.

1123121110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1123121110032 is an abundant number, since it is smaller than the sum of its proper divisors (2026930492016).

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

1123121110032 is a wasteful number, since it uses less digits than its factorization.

1123121110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8069 (or 8060 counting only the distinct ones).

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

Adding to 1123121110032 its reverse (2300111213211), we get a palindrome (3423232323243).

The spelling of 1123121110032 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 631 1262 1893 2521 2524 3786 4903 5042 5048 5679 7563 7572 9806 10084 10096 11358 14709 15126 15144 19612 20168 22689 22716 29418 30252 30288 39224 40336 44127 45378 45432 58836 60504 78448 88254 90756 90864 117672 121008 176508 181512 235344 353016 363024 706032 1590751 3093793 3181502 4772253 6187586 6363004 9281379 9544506 12360463 12375172 12726008 14316759 18562758 19089012 24720926 24750344 25452016 27844137 28633518 37081389 37125516 38178024 49441852 49500688 55688274 57267036 74162778 74251032 76356048 98883704 111244167 111376548 114534072 148325556 148502064 197767408 222488334 222753096 229068144 296651112 444976668 445506192 593302224 889953336 1779906672 7799452153 15598904306 23398356459 31197808612 46796712918 62395617224 70195069377 93593425836 124791234448 140390138754 187186851672 280780277508 374373703344 561560555016 1123121110032