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1112100212200 = 235219142169151
BaseRepresentation
bin10000001011101110010…
…101101000110111101000
310221022112011202020101011
4100023232111220313220
5121210040123242300
62210520343033304
7143226610556065
oct20135625506750
93838464666334
101112100212200
1139970363956a
1215b64813b834
1380b41929053
143bb7c52dc6c
151dddce18eba
hex102ee568de8

1112100212200 has 96 divisors (see below), whose sum is σ = 2605381816320. Its totient is φ = 441453600000.

The previous prime is 1112100212173. The next prime is 1112100212203. The reversal of 1112100212200 is 22120012111.

It is not an unprimeable number, because it can be changed into a prime (1112100212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16047625 + ... + 16116775.

It is an arithmetic number, because the mean of its divisors is an integer number (27139393920).

Almost surely, 21112100212200 is an apocalyptic number.

1112100212200 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 1112100212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302690908160).

1112100212200 is an abundant number, since it is smaller than the sum of its proper divisors (1493281604120).

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

1112100212200 is a wasteful number, since it uses less digits than its factorization.

1112100212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69779 (or 69770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1112100212200 its reverse (22120012111), we get a palindrome (1134220224311).

The spelling of 1112100212200 in words is "one trillion, one hundred twelve billion, one hundred million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 382 421 764 842 955 1528 1684 1910 2105 3368 3820 4210 4775 7640 8420 9550 10525 16840 19100 21050 38200 42100 69151 80411 84200 138302 160822 276604 321644 345755 402055 553208 643288 691510 804110 1383020 1608220 1728775 2010275 2766040 3216440 3457550 4020550 6915100 8041100 13207841 13830200 16082200 26415682 29112571 52831364 58225142 66039205 105662728 116450284 132078410 145562855 232900568 264156820 291125710 330196025 528313640 582251420 660392050 727814275 1164502840 1320784100 1455628550 2641568200 2911257100 5560501061 5822514200 11121002122 22242004244 27802505305 44484008488 55605010610 111210021220 139012526525 222420042440 278025053050 556050106100 1112100212200