Search a number
-
+
1032230302312 = 23111912734714009
BaseRepresentation
bin11110000010101011011…
…10000111001001101000
310122200100220102102110111
433001111232013021220
5113403001424133222
62110111113424104
7134401425541666
oct17012556071150
93580326372414
101032230302312
11368848106080
12148077a0b034
1376453741a41
1437d62b79c36
151bcb6095777
hexf055b87268

1032230302312 has 128 divisors (see below), whose sum is σ = 2246621184000. Its totient is φ = 439698792960.

The previous prime is 1032230302309. The next prime is 1032230302321. The reversal of 1032230302312 is 2132030322301.

It is a super-2 number, since 2×10322303023122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 73676364 + ... + 73690372.

It is an arithmetic number, because the mean of its divisors is an integer number (17551728000).

Almost surely, 21032230302312 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 1032230302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123310592000).

1032230302312 is an abundant number, since it is smaller than the sum of its proper divisors (1214390881688).

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

1032230302312 is a wasteful number, since it uses less digits than its factorization.

1032230302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14519 (or 14515 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1032230302312 its reverse (2132030322301), we get a palindrome (3164260624613).

The spelling of 1032230302312 in words is "one trillion, thirty-two billion, two hundred thirty million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 127 152 209 254 347 418 508 694 836 1016 1388 1397 1672 2413 2776 2794 3817 4826 5588 6593 7634 9652 11176 13186 14009 15268 19304 26372 26543 28018 30536 44069 52744 53086 56036 72523 88138 106172 112072 145046 154099 176276 212344 266171 290092 308198 352552 484759 532342 580184 616396 837311 969518 1064684 1232792 1674622 1779143 1939036 2129368 2927881 3349244 3558286 3878072 4861123 5855762 6698488 7116572 9210421 9722246 11711524 14233144 18420842 19444492 19570573 23423048 33803717 36841684 38888984 39141146 53472353 67607434 73683368 78282292 92361337 106944706 135214868 156564584 184722674 213889412 270429736 369445348 371840887 427778824 617362621 738890696 743681774 1015974707 1234725242 1487363548 2031949414 2469450484 2974727096 4063898828 4938900968 6790988831 8127797656 11729889799 13581977662 23459779598 27163955324 46919559196 54327910648 93839118392 129028787789 258057575578 516115151156 1032230302312