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111332045352 = 233118348710433
BaseRepresentation
bin110011110101111101…
…0000011001000101000
3101122100220212220002010
41213223322003020220
53311002000422402
6123051212035520
711020624525413
oct1475372031050
9348326786063
10111332045352
1143241045540
12196b0a62ba0
13a663474b18
145562086b7a
152d69017a6c
hex19ebe83228

111332045352 has 128 divisors (see below), whose sum is σ = 307951580160. Its totient is φ = 33258885120.

The previous prime is 111332045347. The next prime is 111332045359. The reversal of 111332045352 is 253540233111.

It is not an unprimeable number, because it can be changed into a prime (111332045359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10665928 + ... + 10676360.

It is an arithmetic number, because the mean of its divisors is an integer number (2405871720).

Almost surely, 2111332045352 is an apocalyptic number.

111332045352 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 111332045352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153975790080).

111332045352 is an abundant number, since it is smaller than the sum of its proper divisors (196619534808).

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

111332045352 is a wasteful number, since it uses less digits than its factorization.

111332045352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11023 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 111332045352 its reverse (253540233111), we get a palindrome (364872278463).

The spelling of 111332045352 in words is "one hundred eleven billion, three hundred thirty-two million, forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 487 498 664 913 974 996 1461 1826 1948 1992 2739 2922 3652 3896 5357 5478 5844 7304 10433 10714 10956 11688 16071 20866 21428 21912 31299 32142 40421 41732 42856 62598 64284 80842 83464 114763 121263 125196 128568 161684 229526 242526 250392 323368 344289 444631 459052 485052 688578 865939 889262 918104 970104 1333893 1377156 1731878 1778524 2597817 2667786 2754312 3463756 3557048 5080871 5195634 5335572 6927512 9525329 10161742 10391268 10671144 15242613 19050658 20323484 20782536 28575987 30485226 38101316 40646968 55889581 57151974 60970452 76202632 111779162 114303948 121940904 167668743 223558324 228607896 335337486 421712293 447116648 670674972 843424586 1265136879 1341349944 1686849172 2530273758 3373698344 4638835223 5060547516 9277670446 10121095032 13916505669 18555340892 27833011338 37110681784 55666022676 111332045352