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1213023113232 = 243783191227729
BaseRepresentation
bin10001101001101101110…
…011111101000000010000
311021222000122222210211120
4101221231303331000100
5124333232404110412
62325131035042240
7153431562224130
oct21515563750020
94258018883746
101213023113232
11428492a18897
12177112ba0380
138a5066bcb78
14429d3d8cac0
15218481a5b8c
hex11a6dcfd010

1213023113232 has 160 divisors (see below), whose sum is σ = 3643446804480. Its totient is φ = 340608215040.

The previous prime is 1213023113213. The next prime is 1213023113233. The reversal of 1213023113232 is 2323113203121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1213023113233) by changing a digit.

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, 5212744 + ... + 5440472.

It is an arithmetic number, because the mean of its divisors is an integer number (22771542528).

Almost surely, 21213023113232 is an apocalyptic number.

1213023113232 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 1213023113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821723402240).

1213023113232 is an abundant number, since it is smaller than the sum of its proper divisors (2430423691248).

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

1213023113232 is a wasteful number, since it uses less digits than its factorization.

1213023113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228021 (or 228015 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1213023113232 its reverse (2323113203121), we get a palindrome (3536136316353).

The spelling of 1213023113232 in words is "one trillion, two hundred thirteen billion, twenty-three million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 191 249 332 336 382 498 573 581 664 764 996 1146 1162 1328 1337 1528 1743 1992 2292 2324 2674 3056 3486 3984 4011 4584 4648 5348 6972 8022 9168 9296 10696 13944 15853 16044 21392 27888 31706 32088 47559 63412 64176 95118 110971 126824 190236 221942 227729 253648 332913 380472 443884 455458 665826 683187 760944 887768 910916 1331652 1366374 1594103 1775536 1821832 2663304 2732748 3188206 3643664 4782309 5326608 5465496 6376412 9564618 10930992 12752824 18901507 19129236 25505648 37803014 38258472 43496239 56704521 75606028 76516944 86992478 113409042 130488717 132310549 151212056 173984956 226818084 260977434 264621098 302424112 304473673 347969912 396931647 453636168 521954868 529242196 608947346 695939824 793863294 907272336 913421019 1043909736 1058484392 1217894692 1587726588 1826842038 2087819472 2116968784 2435789384 3175453176 3610187837 3653684076 4871578768 6350906352 7220375674 7307368152 10830563511 14440751348 14614736304 21661127022 25271314859 28881502696 43322254044 50542629718 57763005392 75813944577 86644508088 101085259436 151627889154 173289016176 202170518872 303255778308 404341037744 606511556616 1213023113232