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110420321232 = 24313677137199
BaseRepresentation
bin110011011010110010…
…0000110001111010000
3101120000101022111201010
41212311210012033100
53302120100234412
6122420522410520
710656214146534
oct1466544061720
9346011274633
10110420321232
1142913435731
1219497660a40
13a549604bb0
1454b6d57bc4
152d13e7233c
hex19b59063d0

110420321232 has 160 divisors (see below), whose sum is σ = 316179763200. Its totient is φ = 32996113920.

The previous prime is 110420321203. The next prime is 110420321251. The reversal of 110420321232 is 232123024011.

It is a junction number, because it is equal to n+sod(n) for n = 110420321199 and 110420321208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2949769 + ... + 2986967.

It is an arithmetic number, because the mean of its divisors is an integer number (1976123520).

Almost surely, 2110420321232 is an apocalyptic number.

110420321232 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 110420321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158089881600).

110420321232 is an abundant number, since it is smaller than the sum of its proper divisors (205759441968).

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

110420321232 is a wasteful number, since it uses less digits than its factorization.

110420321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37361 (or 37355 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 110420321232 its reverse (232123024011), we get a palindrome (342543345243).

The spelling of 110420321232 in words is "one hundred ten billion, four hundred twenty million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 71 78 104 134 142 156 201 208 213 268 284 312 402 426 536 568 624 804 852 871 923 1072 1136 1608 1704 1742 1846 2613 2769 3216 3408 3484 3692 4757 5226 5538 6968 7384 9514 10452 11076 13936 14271 14768 19028 20904 22152 28542 37199 38056 41808 44304 57084 61841 74398 76112 111597 114168 123682 148796 185523 223194 228336 247364 297592 371046 446388 483587 494728 595184 742092 892776 967174 989456 1450761 1484184 1785552 1934348 2492333 2641129 2901522 2968368 3868696 4984666 5282258 5803044 7476999 7737392 7923387 9969332 10564516 11606088 14953998 15846774 19938664 21129032 23212176 29907996 31693548 32400329 34334677 39877328 42258064 59815992 63387096 64800658 68669354 97200987 103004031 119631984 126774192 129601316 137338708 176955643 194401974 206008062 259202632 274677416 353911286 388803948 412016124 518405264 530866929 549354832 707822572 777607896 824032248 1061733858 1415645144 1555215792 1648064496 2123467716 2300423359 2831290288 4246935432 4600846718 6901270077 8493870864 9201693436 13802540154 18403386872 27605080308 36806773744 55210160616 110420321232