Search a number
-
+
1110201000020 = 225719619674263
BaseRepresentation
bin10000001001111101001…
…000101110000001010100
310221010121211001021001022
4100021331020232001110
5121142142424000040
62210004100220312
7143131546540250
oct20117510560124
93833554037038
101110201000020
11398919581322
1215b1b809a698
13808cb30cc68
143ba3c1cd260
151dd2b3146b5
hex1027d22e054

1110201000020 has 96 divisors (see below), whose sum is σ = 2809253529600. Its totient is φ = 360023543424.

The previous prime is 1110201000019. The next prime is 1110201000023. The reversal of 1110201000020 is 200001020111.

It is a junction number, because it is equal to n+sod(n) for n = 1110200999971 and 1110201000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110201000023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309409 + ... + 1983671.

It is an arithmetic number, because the mean of its divisors is an integer number (29263057600).

Almost surely, 21110201000020 is an apocalyptic number.

1110201000020 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 1110201000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404626764800).

1110201000020 is an abundant number, since it is smaller than the sum of its proper divisors (1699052529580).

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

1110201000020 is a wasteful number, since it uses less digits than its factorization.

1110201000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674917 (or 674915 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1110201000020 its reverse (200001020111), we get a palindrome (1310202020131).

The spelling of 1110201000020 in words is "one trillion, one hundred ten billion, two hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 619 665 1238 1330 2476 2660 3095 4333 6190 8666 11761 12380 17332 21665 23522 43330 47044 58805 82327 86660 117610 164654 235220 329308 411635 674263 823270 1348526 1646540 2697052 3371315 4719841 6742630 9439682 12810997 13485260 18879364 23599205 25621994 47198410 51243988 64054985 89676979 94396820 128109970 179353958 256219940 358707916 417368797 448384895 834737594 896769790 1669475188 1793539580 2086843985 2921581579 4173687970 5843163158 7930007143 8347375940 11686326316 14607907895 15860014286 29215815790 31720028572 39650035715 55510050001 58431631580 79300071430 111020100002 158600142860 222040200004 277550250005 555100500010 1110201000020