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1001200122096 = 2431011911081247
BaseRepresentation
bin11101001000111000010…
…11010111100011110000
310112201021100122221111120
432210130023113203300
5112400424212401341
62043540041142240
7132222446423166
oct16443413274360
93481240587446
101001200122096
11356674405439
12142057a8a980
1373549b03765
143665b9a9236
151b09bcc8066
hexe91c2d78f0

1001200122096 has 80 divisors (see below), whose sum is σ = 2625719943168. Its totient is φ = 328698784000.

The previous prime is 1001200122077. The next prime is 1001200122101. The reversal of 1001200122096 is 6902210021001.

1001200122096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385345 + ... + 1466591.

Almost surely, 21001200122096 is an apocalyptic number.

1001200122096 is a gapful number since it is divisible by the number (16) 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 1001200122096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312859971584).

1001200122096 is an abundant number, since it is smaller than the sum of its proper divisors (1624519821072).

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

1001200122096 is a wasteful number, since it uses less digits than its factorization.

1001200122096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081550 (or 1081544 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 1001200122096 its reverse (6902210021001), we get a palindrome (7903410143097).

The spelling of 1001200122096 in words is "one trillion, one billion, two hundred million, one hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 191 202 303 382 404 573 606 764 808 1146 1212 1528 1616 2292 2424 3056 4584 4848 9168 19291 38582 57873 77164 115746 154328 231492 308656 462984 925968 1081247 2162494 3243741 4324988 6487482 8649976 12974964 17299952 25949928 51899856 109205947 206518177 218411894 327617841 413036354 436823788 619554531 655235682 826072708 873647576 1239109062 1310471364 1652145416 1747295152 2478218124 2620942728 3304290832 4956436248 5241885456 9912872496 20858335877 41716671754 62575007631 83433343508 125150015262 166866687016 250300030524 333733374032 500600061048 1001200122096