Search a number
-
+
1111310200020 = 2235292113194899
BaseRepresentation
bin10000001010111111001…
…111111110110011010100
310221020111010012110101210
4100022333033332303110
5121201430402400040
62210310122221420
7143201205561426
oct20127717766324
93836433173353
101111310200020
113993386aa739
1215b467654870
1380a47062317
143bb05644816
151dd938b6480
hex102bf3fecd4

1111310200020 has 144 divisors (see below), whose sum is σ = 3251203300800. Its totient is φ = 283596859392.

The previous prime is 1111310199953. The next prime is 1111310200027. The reversal of 1111310200020 is 200020131111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1111310199969 and 1111310200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111310200027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5604531 + ... + 5799429.

It is an arithmetic number, because the mean of its divisors is an integer number (22577800700).

Almost surely, 21111310200020 is an apocalyptic number.

1111310200020 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 1111310200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625601650400).

1111310200020 is an abundant number, since it is smaller than the sum of its proper divisors (2139893100780).

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

1111310200020 is a wasteful number, since it uses less digits than its factorization.

1111310200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195082 (or 195051 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1111310200020 its reverse (200020131111), we get a palindrome (1311330331131).

The spelling of 1111310200020 in words is "one trillion, one hundred eleven billion, three hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 113 116 145 174 226 290 339 348 435 452 565 580 678 841 870 1130 1356 1682 1695 1740 2260 2523 3277 3364 3390 4205 5046 6554 6780 8410 9831 10092 12615 13108 16385 16820 19662 25230 32770 39324 49155 50460 65540 95033 98310 190066 194899 196620 285099 380132 389798 475165 570198 584697 779596 950330 974495 1140396 1169394 1425495 1900660 1948990 2338788 2850990 2923485 3897980 5652071 5701980 5846970 11304142 11693940 16956213 22023587 22608284 28260355 33912426 44047174 56520710 66070761 67824852 84781065 88094348 110117935 113041420 132141522 163910059 169562130 220235870 264283044 327820118 330353805 339124260 440471740 491730177 638684023 655640236 660707610 819550295 983460354 1277368046 1321415220 1639100590 1916052069 1966920708 2458650885 2554736092 3193420115 3278201180 3832104138 4917301770 6386840230 7664208276 9580260345 9834603540 12773680460 18521836667 19160520690 37043673334 38321041380 55565510001 74087346668 92609183335 111131020002 185218366670 222262040004 277827550005 370436733340 555655100010 1111310200020