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200701126912 = 28111350910771
BaseRepresentation
bin1011101011101010111…
…0000010100100000000
3201012001012120121210211
42322322232002210000
511242013442030122
6232111213403504
720333363300536
oct2727256024400
9635035517724
10200701126912
1178131610230
1232a92499594
1315c06664480
1499dd270156
155349cba877
hex2ebab82900

200701126912 has 144 divisors (see below), whose sum is σ = 471624874560. Its totient is φ = 84037017600.

The previous prime is 200701126883. The next prime is 200701126963. The reversal of 200701126912 is 219621107002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18628087 + ... + 18638857.

It is an arithmetic number, because the mean of its divisors is an integer number (3275172740).

Almost surely, 2200701126912 is an apocalyptic number.

200701126912 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 200701126912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235812437280).

200701126912 is an abundant number, since it is smaller than the sum of its proper divisors (270923747648).

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

200701126912 is a wasteful number, since it uses less digits than its factorization.

200701126912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 200701126912 in words is "two hundred billion, seven hundred one million, one hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 509 572 704 832 1018 1144 1408 1664 2036 2288 2816 3328 4072 4576 5599 6617 8144 9152 10771 11198 13234 16288 18304 21542 22396 26468 32576 36608 43084 44792 52936 65152 72787 86168 89584 105872 118481 130304 140023 145574 172336 179168 211744 236962 280046 291148 344672 358336 423488 473924 560092 582296 689344 716672 846976 947848 1120184 1164592 1378688 1433344 1540253 1693952 1895696 2240368 2329184 2757376 3080506 3791392 4480736 4658368 5482439 6161012 7582784 8961472 9316736 10964878 12322024 15165568 17922944 18633472 21929756 24644048 30331136 35845888 43859512 49288096 60306829 71271707 87719024 98576192 120613658 142543414 175438048 197152384 241227316 285086828 350876096 394304768 482454632 570173656 701752192 783988777 964909264 1140347312 1403504384 1567977554 1929818528 2280694624 3135955108 3859637056 4561389248 6271910216 7719274112 9122778496 12543820432 15438548224 18245556992 25087640864 50175281728 100350563456 200701126912