Search a number
-
+
1032202023112 = 231337397709953
BaseRepresentation
bin11110000010101000000…
…10001111000011001000
310122200021221012200200201
433001110002033003020
5113402422204214422
62110104223341544
7134400633301231
oct17012402170310
93580257180621
101032202023112
11368833150537
1214806a4518b4
137644a9200a0
1437d5d0d8088
151bcb385b727
hexf05408f0c8

1032202023112 has 128 divisors (see below), whose sum is σ = 2151258933600. Its totient is φ = 461221060608.

The previous prime is 1032202023049. The next prime is 1032202023133. The reversal of 1032202023112 is 2113202022301.

It can be written as a sum of positive squares in 16 ways, for example, as 70323614596 + 961878408516 = 265186^2 + 980754^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1032202023112.

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, 1083107628 + ... + 1083108580.

Almost surely, 21032202023112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032202023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075629466800).

1032202023112 is an abundant number, since it is smaller than the sum of its proper divisors (1119056910488).

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

1032202023112 is a wasteful number, since it uses less digits than its factorization.

1032202023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1032202023112 its reverse (2113202022301), we get a palindrome (3145404045413).

The spelling of 1032202023112 in words is "one trillion, thirty-two billion, two hundred two million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 397 481 709 794 953 962 1418 1588 1906 1924 2836 3176 3812 3848 5161 5672 7624 9217 10322 12389 14689 18434 20644 24778 26233 29378 35261 36868 41288 49556 52466 58756 70522 73736 99112 104932 117512 141044 190957 209864 281473 282088 341029 378341 381914 458393 562946 675677 682058 756682 763828 916786 1125892 1351354 1364116 1513364 1527656 1833572 2251784 2702708 2728232 3026728 3659149 3667144 4918433 5405416 7318298 8783801 9836866 10414501 13998617 14636596 17567602 19673732 20829002 25000049 27997234 29273192 35135204 39347464 41658004 50000098 55994468 70270408 83316008 100000196 111988936 135388513 181982021 200000392 268243769 270777026 325000637 363964042 536487538 541554052 650001274 727928084 1072975076 1083108104 1300002548 1455856168 2145950152 2600005096 3487168997 6974337994 9925019453 13948675988 19850038906 27897351976 39700077812 79400155624 129025252889 258050505778 516101011556 1032202023112