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1155304453120 = 2105866926029
BaseRepresentation
bin10000110011111101100…
…000101111010000000000
311002110001011011002002021
4100303331200233100000
5122412030414444440
62242423423531224
7146316343552126
oct20637540572000
94073034132067
101155304453120
11405a642771a4
12167aa5159b14
1384c387a354c
143dcba4ab916
15200bad8a84a
hex10cfd82f400

1155304453120 has 88 divisors (see below), whose sum is σ = 2771802988200. Its totient is φ = 462050721792.

The previous prime is 1155304453099. The next prime is 1155304453141. The reversal of 1155304453120 is 213544035511.

It is an interprime number because it is at equal distance from previous prime (1155304453099) and next prime (1155304453141).

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 1155298223104 = 2496^2 + 1074848^2 .

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 7 ways as a sum of consecutive naturals, for example, 44372266 + ... + 44398294.

Almost surely, 21155304453120 is an apocalyptic number.

1155304453120 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 1155304453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385901494100).

1155304453120 is an abundant number, since it is smaller than the sum of its proper divisors (1616498535080).

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

1155304453120 is an equidigital number, since it uses as much as digits as its factorization.

1155304453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34723 (or 34705 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 1155304453120 its reverse (213544035511), we get a palindrome (1368848488631).

The spelling of 1155304453120 in words is "one trillion, one hundred fifty-five billion, three hundred four million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 8669 17338 26029 34676 43345 52058 69352 86690 104116 130145 138704 173380 208232 260290 277408 346760 416464 520580 554816 693520 832928 1041160 1109632 1387040 1665856 2082320 2219264 2774080 3331712 4164640 4438528 5548160 6663424 8329280 8877056 11096320 13326848 16658560 22192640 26653696 33317120 44385280 66634240 133268480 225645401 451290802 902581604 1128227005 1805163208 2256454010 3610326416 4512908020 7220652832 9025816040 14441305664 18051632080 28882611328 36103264160 57765222656 72206528320 115530445312 144413056640 231060890624 288826113280 577652226560 1155304453120