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1101000200112 = 243271149722737
BaseRepresentation
bin10000000001011000101…
…110011100111110110000
310220020212121010012100100
4100001120232130332300
5121014322022400422
62201443103152400
7142354545200601
oct20013056347660
93806777105310
101101000200112
11394a27a0115a
1215946a8a5700
137ca93085567
143b408267da8
151d98d6c17ac
hex10058b9cfb0

1101000200112 has 120 divisors (see below), whose sum is σ = 3145644871200. Its totient is φ = 359402158080.

The previous prime is 1101000200099. The next prime is 1101000200123. The reversal of 1101000200112 is 2110020001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101000200094 and 1101000200103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162008 + ... + 1884744.

It is an arithmetic number, because the mean of its divisors is an integer number (26213707260).

Almost surely, 21101000200112 is an apocalyptic number.

1101000200112 is a gapful number since it is divisible by the number (12) 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 1101000200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572822435600).

1101000200112 is an abundant number, since it is smaller than the sum of its proper divisors (2044644671088).

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

1101000200112 is a wasteful number, since it uses less digits than its factorization.

1101000200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722971 (or 722962 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101000200112 its reverse (2110020001011), we get a palindrome (3211020201123).

The spelling of 1101000200112 in words is "one trillion, one hundred one billion, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 149 213 284 298 426 447 568 596 639 852 894 1136 1192 1278 1341 1704 1788 2384 2556 2682 3408 3576 5112 5364 7152 10224 10579 10728 21158 21456 31737 42316 63474 84632 95211 126948 169264 190422 253896 380844 507792 722737 761688 1445474 1523376 2168211 2890948 4336422 5781896 6504633 8672844 11563792 13009266 17345688 26018532 34691376 51314327 52037064 102628654 104074128 107687813 153942981 205257308 215375626 307885962 323063439 410514616 430751252 461828943 615771924 646126878 821029232 861502504 923657886 969190317 1231543848 1292253756 1723005008 1847315772 1938380634 2463087696 2584507512 3694631544 3876761268 5169015024 7389263088 7645834723 7753522536 15291669446 15507045072 22937504169 30583338892 45875008338 61166677784 68812512507 91750016676 122333355568 137625025014 183500033352 275250050028 367000066704 550500100056 1101000200112