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1120330133020 = 2257431311420621
BaseRepresentation
bin10000010011011000111…
…000010010111000011100
310222002202201210112100101
4100103120320102320130
5121323414003224040
62214401134510444
7143640553002250
oct20233070227034
93862681715311
101120330133020
113a214717591a
12161164365424
13818539a1397
143c31d568260
151e2206ce09a
hex104d8e12e1c

1120330133020 has 96 divisors (see below), whose sum is σ = 2772326785536. Its totient is φ = 372316089600.

The previous prime is 1120330132981. The next prime is 1120330133033. The reversal of 1120330133020 is 203310330211.

It is a super-2 number, since 2×11203301330202 (a number of 25 digits) contains 22 as substring.

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, 78310 + ... + 1498930.

It is an arithmetic number, because the mean of its divisors is an integer number (28878404016).

Almost surely, 21120330133020 is an apocalyptic number.

1120330133020 is a gapful number since it is divisible by the number (10) 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 1120330133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386163392768).

1120330133020 is an abundant number, since it is smaller than the sum of its proper divisors (1651996652516).

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

1120330133020 is a wasteful number, since it uses less digits than its factorization.

1120330133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420811 (or 1420809 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1120330133020 its reverse (203310330211), we get a palindrome (1323640463231).

The spelling of 1120330133020 in words is "one trillion, one hundred twenty billion, three hundred thirty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 131 140 172 215 262 301 430 524 602 655 860 917 1204 1310 1505 1834 2620 3010 3668 4585 5633 6020 9170 11266 18340 22532 28165 39431 56330 78862 112660 157724 197155 394310 788620 1420621 2841242 5682484 7103105 9944347 14206210 19888694 28412420 39777388 49721735 61086703 99443470 122173406 186101351 198886940 244346812 305433515 372202702 427606921 610867030 744405404 855213842 930506755 1221734060 1302709457 1710427684 1861013510 2138034605 2605418914 3722027020 4276069210 5210837828 6513547285 8002358093 8552138420 13027094570 16004716186 26054189140 32009432372 40011790465 56016506651 80023580930 112033013302 160047161860 224066026604 280082533255 560165066510 1120330133020