Search a number
-
+
200111000112 = 243231227197479
BaseRepresentation
bin1011101001011110001…
…0111000101000110000
3201010112002011002000200
42322113202320220300
511234311404000422
6231532453115200
720312636302332
oct2722742705060
9633462132020
10200111000112
1177959496231
1232948928b00
1315b4131480a
149984b37452
15531309d2ac
hex2e978b8a30

200111000112 has 120 divisors (see below), whose sum is σ = 580648074240. Its totient is φ = 64267240320.

The previous prime is 200111000101. The next prime is 200111000129. The reversal of 200111000112 is 211000111002.

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 = 200111000094 and 200111000103.

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, 914589 + ... + 1112067.

It is an arithmetic number, because the mean of its divisors is an integer number (4838733952).

Almost surely, 2200111000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200111000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290324037120).

200111000112 is an abundant number, since it is smaller than the sum of its proper divisors (380537074128).

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

200111000112 is a wasteful number, since it uses less digits than its factorization.

200111000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197751 (or 197742 counting only the distinct ones).

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

Adding to 200111000112 its reverse (211000111002), we get a palindrome (411111111114).

The spelling of 200111000112 in words is "two hundred billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 227 248 279 372 454 496 558 681 744 908 1116 1362 1488 1816 2043 2232 2724 3632 4086 4464 5448 7037 8172 10896 14074 16344 21111 28148 32688 42222 56296 63333 84444 112592 126666 168888 197479 253332 337776 394958 506664 592437 789916 1013328 1184874 1579832 1777311 2369748 3159664 3554622 4739496 6121849 7109244 9478992 12243698 14218488 18365547 24487396 28436976 36731094 44827733 48974792 55096641 73462188 89655466 97949584 110193282 134483199 146924376 179310932 220386564 268966398 293848752 358621864 403449597 440773128 537932796 717243728 806899194 881546256 1075865592 1389659723 1613798388 2151731184 2779319446 3227596776 4168979169 5558638892 6455193552 8337958338 11117277784 12506937507 16675916676 22234555568 25013875014 33351833352 50027750028 66703666704 100055500056 200111000112