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200251015540212 = 2237213238111002583
BaseRepresentation
bin101101100010000010010010…
…101001011010110111110100
3222021000210212120122200222010
4231202002102221122313310
5202221403034434241322
61545522014015404220
760115441562231100
oct5542022251326764
9867023776580863
10200251015540212
1158895a84814a2a
121a561ba3b23670
138797788869430
1437642b526a900
151823ec610920c
hexb62092a5adf4

200251015540212 has 144 divisors (see below), whose sum is σ = 585595017286272. Its totient is φ = 52791268642560.

The previous prime is 200251015540211. The next prime is 200251015540223. The reversal of 200251015540212 is 212045510152002.

It is a self number, because there is not a number n which added to its sum of digits gives 200251015540212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200251015540211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12699073 + ... + 23701655.

It is an arithmetic number, because the mean of its divisors is an integer number (4066632064488).

Almost surely, 2200251015540212 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 200251015540212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292797508643136).

200251015540212 is an abundant number, since it is smaller than the sum of its proper divisors (385344001746060).

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

200251015540212 is a wasteful number, since it uses less digits than its factorization.

200251015540212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004998 (or 11004989 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 200251015540212 its reverse (212045510152002), we get a palindrome (412296525692214).

The spelling of 200251015540212 in words is "two hundred trillion, two hundred fifty-one billion, fifteen million, five hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2381 2548 3822 4762 7143 7644 9524 14286 16667 28572 30953 33334 50001 61906 66668 92859 100002 116669 123812 185718 200004 216671 233338 350007 371436 433342 466676 650013 700014 866684 1300026 1400028 1516697 2600052 3033394 4550091 6066788 9100182 11002583 18200364 22005166 33007749 44010332 66015498 77018081 132030996 143033579 154036162 231054243 286067158 308072324 429100737 462108486 539126567 572134316 858201474 924216972 1001235053 1078253134 1617379701 1716402948 2002470106 2156506268 3003705159 3234759402 4004940212 6007410318 6469518804 7008645371 12014820636 14017290742 21025936113 26197150123 28034581484 42051872226 52394300246 78591450369 84103744452 104788600492 157182900738 183380050861 314365801476 340562951599 366760101722 550140152583 681125903198 733520203444 1021688854797 1100280305166 1283660356027 1362251806396 2043377709594 2200560610332 2383940661193 2567320712054 3850981068081 4086755419188 4767881322386 5134641424108 7151821983579 7701962136162 9535762644772 14303643967158 15403924272324 16687584628351 28607287934316 33375169256702 50062753885053 66750338513404 100125507770106 200251015540212