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1020320231220 = 223257198279533
BaseRepresentation
bin11101101100011111101…
…00110010111100110100
310121112121212112010101100
432312033310302330310
5113204103434344340
62100421215330100
7133500325603443
oct16661764627464
93545555463340
101020320231220
11363796197414
121458b3220930
13752a61059b4
143755308ad5a
151b81a68a830
hexed8fd32f34

1020320231220 has 144 divisors (see below), whose sum is σ = 3103349034240. Its totient is φ = 271349960448.

The previous prime is 1020320231197. The next prime is 1020320231239. The reversal of 1020320231220 is 221320230201.

1020320231220 is a `hidden beast` number, since 10 + 2 + 0 + 320 + 2 + 312 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020320231193 and 1020320231202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107025574 + ... + 107035106.

It is an arithmetic number, because the mean of its divisors is an integer number (21551034960).

Almost surely, 21020320231220 is an apocalyptic number.

1020320231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020320231220 is an abundant number, since it is smaller than the sum of its proper divisors (2083028803020).

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

1020320231220 is a wasteful number, since it uses less digits than its factorization.

1020320231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11094 (or 11089 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1020320231220 its reverse (221320230201), we get a palindrome (1241640461421).

The spelling of 1020320231220 in words is "one trillion, twenty billion, three hundred twenty million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 719 827 1438 1654 2157 2481 2876 3308 3595 4135 4314 4962 6471 7190 7443 8270 8628 9533 9924 10785 12405 12942 14380 14886 16540 19066 21570 24810 25884 28599 29772 32355 37215 38132 43140 47665 49620 57198 64710 74430 85797 95330 114396 129420 142995 148860 171594 190660 285990 343188 428985 571980 594613 857970 1189226 1715940 1783839 2378452 2973065 3567678 5351517 5946130 6854227 7135356 7883791 8919195 10703034 11892260 13708454 15767582 17838390 20562681 21406068 23651373 26757585 27416908 31535164 34271135 35676780 39418955 41125362 47302746 53515170 61688043 68542270 70954119 78837910 82250724 94605492 102813405 107030340 118256865 123376086 137084540 141908238 157675820 205626810 236513730 246752172 283816476 308440215 354770595 411253620 473027460 616880430 709541190 1233760860 1419082380 5668445729 11336891458 17005337187 22673782916 28342228645 34010674374 51016011561 56684457290 68021348748 85026685935 102032023122 113368914580 170053371870 204064046244 255080057805 340106743740 510160115610 1020320231220