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1132022433120 = 25354349542281
BaseRepresentation
bin10000011110010001110…
…010111000010101100000
311000012221120220220210020
4100132101302320111200
5122021340220324440
62224013253233440
7144533366626605
oct20362162702540
94005846826706
101132022433120
113a70a7173a57
12163488032880
1382998170457
143cb0c36a6ac
151e6a6e1e3d0
hex10791cb8560

1132022433120 has 96 divisors (see below), whose sum is σ = 3566697170400. Its totient is φ = 301802680320.

The previous prime is 1132022433103. The next prime is 1132022433131. The reversal of 1132022433120 is 213342202311.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 1816380 + ... + 2358660.

It is an arithmetic number, because the mean of its divisors is an integer number (37153095525).

Almost surely, 21132022433120 is an apocalyptic number.

1132022433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132022433120 is an abundant number, since it is smaller than the sum of its proper divisors (2434674737280).

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

1132022433120 is a wasteful number, since it uses less digits than its factorization.

1132022433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546648 (or 546640 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1132022433120 its reverse (213342202311), we get a palindrome (1345364635431).

The spelling of 1132022433120 in words is "one trillion, one hundred thirty-two billion, twenty-two million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4349 8698 13047 17396 21745 26094 34792 43490 52188 65235 69584 86980 104376 130470 139168 173960 208752 260940 347920 417504 521880 542281 695840 1043760 1084562 1626843 2087520 2169124 2711405 3253686 4338248 5422810 6507372 8134215 8676496 10845620 13014744 16268430 17352992 21691240 26029488 32536860 43382480 52058976 65073720 86764960 130147440 260294880 2358380069 4716760138 7075140207 9433520276 11791900345 14150280414 18867040552 23583800690 28300560828 35375701035 37734081104 47167601380 56601121656 70751402070 75468162208 94335202760 113202243312 141502804140 188670405520 226404486624 283005608280 377340811040 566011216560 1132022433120