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1100013030220 = 2251323924173453
BaseRepresentation
bin10000000000011101111…
…000101100101101001100
310220011022210120202211111
4100000131320230231030
5121010311313431340
62201201120501404
7142321230324346
oct20003570545514
93804283522744
101100013030220
11394570750875
1215923417a864
137c9666bb170
143b3530da296
151d931bc6aea
hex1001de2cb4c

1100013030220 has 96 divisors (see below), whose sum is σ = 2508530492160. Its totient is φ = 402775511040.

The previous prime is 1100013030209. The next prime is 1100013030227. The reversal of 1100013030220 is 220303100011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1100013030220.

It is not an unprimeable number, because it can be changed into a prime (1100013030227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14939014 + ... + 15012466.

It is an arithmetic number, because the mean of its divisors is an integer number (26130525960).

Almost surely, 21100013030220 is an apocalyptic number.

1100013030220 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 1100013030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254265246080).

1100013030220 is an abundant number, since it is smaller than the sum of its proper divisors (1408517461940).

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

1100013030220 is a wasteful number, since it uses less digits than its factorization.

1100013030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73955 (or 73953 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1100013030220 its reverse (220303100011), we get a palindrome (1320316130231).

The spelling of 1100013030220 in words is "one trillion, one hundred billion, thirteen million, thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 239 241 260 478 482 956 964 1195 1205 2390 2410 3107 3133 4780 4820 6214 6266 12428 12532 15535 15665 31070 31330 57599 62140 62660 73453 115198 146906 230396 287995 293812 367265 575990 734530 748787 954889 1151980 1469060 1497574 1909778 2995148 3743935 3819556 4774445 7487870 9548890 14975740 17555267 17702173 19097780 35110534 35404346 70221068 70808692 87776335 88510865 175552670 177021730 228218471 230128249 351105340 354043460 456436942 460256498 912873884 920512996 1141092355 1150641245 2282184710 2301282490 4230819347 4564369420 4602564980 8461638694 16923277388 21154096735 42308193470 55000651511 84616386940 110001303022 220002606044 275003257555 550006515110 1100013030220