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1320023014100 = 2252716334933149
BaseRepresentation
bin10011001101010111100…
…000001011101011010100
311200012012200011221212222
4103031113200023223110
5133111401342422400
62450224334201512
7164240254326650
oct23152740135324
94605180157788
101320023014100
1146990064002a
121939b5053298
139762949c38b
1447c64941a60
152450bbda185
hex1335780bad4

1320023014100 has 144 divisors (see below), whose sum is σ = 3303278160000. Its totient is φ = 448500395520.

The previous prime is 1320023014099. The next prime is 1320023014207. The reversal of 1320023014100 is 14103200231.

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, 39804326 + ... + 39837474.

Almost surely, 21320023014100 is an apocalyptic number.

1320023014100 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 1320023014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651639080000).

1320023014100 is an abundant number, since it is smaller than the sum of its proper divisors (1983255145900).

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

1320023014100 is a wasteful number, since it uses less digits than its factorization.

1320023014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33682 (or 33675 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1320023014100 its reverse (14103200231), we get a palindrome (1334126214331).

The spelling of 1320023014100 in words is "one trillion, three hundred twenty billion, twenty-three million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 349 350 652 698 700 815 1141 1396 1630 1745 2282 2443 3260 3490 4075 4564 4886 5705 6980 8150 8725 9772 11410 12215 16300 17450 22820 24430 28525 33149 34900 48860 56887 57050 61075 66298 113774 114100 122150 132596 165745 227548 232043 244300 284435 331490 398209 464086 568870 662980 796418 828725 928172 1137740 1160215 1422175 1592836 1657450 1991045 2320430 2844350 3314900 3982090 4640860 5403287 5688700 5801075 7964180 9955225 10806574 11569001 11602150 19910450 21613148 23138002 23204300 27016435 37823009 39820900 46276004 54032870 57845005 75646018 80983007 108065740 115690010 135082175 151292036 161966014 189115045 231380020 270164350 289225025 323932028 378230090 404915035 540328700 578450050 756460180 809830070 945575225 1156900100 1619660140 1885747163 1891150450 2024575175 3771494326 3782300900 4049150350 7542988652 8098300700 9428735815 13200230141 18857471630 26400460282 37714943260 47143679075 52800920564 66001150705 94287358150 132002301410 188574716300 264004602820 330005753525 660011507050 1320023014100