Search a number
-
+
200012012112 = 243111994434297
BaseRepresentation
bin1011101001000110100…
…1010001101001010000
3201010021011212222000110
42322101221101221100
511234111033341422
6231514555321320
720310325023513
oct2722151215120
9633234788013
10200012012112
1177908626070
123291b750240
1315b26966833
14997592ad7a
15530954860c
hex2e91a51a50

200012012112 has 160 divisors (see below), whose sum is σ = 567913651200. Its totient is φ = 60154997760.

The previous prime is 200012012107. The next prime is 200012012129. The reversal of 200012012112 is 211210210002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46544748 + ... + 46549044.

It is an arithmetic number, because the mean of its divisors is an integer number (3549460320).

Almost surely, 2200012012112 is an apocalyptic number.

200012012112 is a gapful number since it is divisible by the number (22) 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 200012012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283956825600).

200012012112 is an abundant number, since it is smaller than the sum of its proper divisors (367901639088).

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

200012012112 is a wasteful number, since it uses less digits than its factorization.

200012012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200012012112 its reverse (211210210002), we get a palindrome (411222222114).

The spelling of 200012012112 in words is "two hundred billion, twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 199 264 398 443 528 597 796 886 1194 1329 1592 1772 2189 2388 2658 3184 3544 4297 4378 4776 4873 5316 6567 7088 8594 8756 9552 9746 10632 12891 13134 14619 17188 17512 19492 21264 25782 26268 29238 34376 35024 38984 47267 51564 52536 58476 68752 77968 88157 94534 103128 105072 116952 141801 176314 189068 206256 233904 264471 283602 352628 378136 528942 567204 705256 756272 855103 969727 1057884 1134408 1410512 1710206 1903571 1939454 2115768 2268816 2565309 2909181 3420412 3807142 3878908 4231536 5130618 5710713 5818362 6840824 7614284 7757816 9406133 10261236 11421426 11636724 13681648 15228568 15515632 18812266 20522472 20939281 22842852 23273448 28218399 30457136 37624532 41044944 41878562 45685704 46546896 56436798 62817843 75249064 83757124 91371408 112873596 125635686 150498128 167514248 225747192 251271372 335028496 378810629 451494384 502542744 757621258 1005085488 1136431887 1515242516 2272863774 3030485032 4166916919 4545727548 6060970064 8333833838 9091455096 12500750757 16667667676 18182910192 25001501514 33335335352 50003003028 66670670704 100006006056 200012012112