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1123320322332 = 22321319167756463
BaseRepresentation
bin10000010110001011000…
…110111101100100011100
310222101111010100212221200
4100112023012331210130
5121401030000303312
62220013552555500
7144104632124325
oct20261306754434
93871433325850
101123320322332
113a344104535a
12161859852b90
1381c0c32c280
143c52473944c
151e347e860dc
hex1058b1bd91c

1123320322332 has 144 divisors (see below), whose sum is σ = 3238150056960. Its totient is φ = 325484417664.

The previous prime is 1123320322303. The next prime is 1123320322337. The reversal of 1123320322332 is 2332230233211.

1123320322332 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 2 + 0 + 322 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1123320322296 and 1123320322305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123320322337) 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 47 ways as a sum of consecutive naturals, for example, 1106733 + ... + 1863195.

Almost surely, 21123320322332 is an apocalyptic number.

1123320322332 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 1123320322332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619075028480).

1123320322332 is an abundant number, since it is smaller than the sum of its proper divisors (2114829734628).

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

1123320322332 is a wasteful number, since it uses less digits than its factorization.

1123320322332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756672 (or 756667 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1123320322332 its reverse (2332230233211), we get a palindrome (3455550555543).

The spelling of 1123320322332 in words is "one trillion, one hundred twenty-three billion, three hundred twenty million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 167 171 228 234 247 334 342 468 494 501 668 684 741 988 1002 1482 1503 2004 2171 2223 2964 3006 3173 4342 4446 6012 6346 6513 8684 8892 9519 12692 13026 19038 19539 26052 28557 38076 39078 41249 57114 78156 82498 114228 123747 164996 247494 371241 494988 742482 756463 1484964 1512926 2269389 3025852 4538778 6808167 9077556 9834019 13616334 14372797 19668038 27232668 28745594 29502057 39336076 43118391 57491188 59004114 86236782 88506171 118008228 126329321 129355173 172473564 177012342 186846361 252658642 258710346 354024684 373692722 378987963 505317284 517420692 560539083 747385444 757975926 1121078166 1136963889 1515951852 1642281173 1681617249 2242156332 2273927778 2400257099 3284562346 3363234498 4547855556 4800514198 4926843519 6569124692 6726468996 7200771297 9601028396 9853687038 14401542594 14780530557 19707374076 21602313891 28803085188 29561061114 31203342287 43204627782 59122122228 62406684574 86409255564 93610026861 124813369148 187220053722 280830080583 374440107444 561660161166 1123320322332