Search a number
-
+
11051157021720 = 23353471442318401
BaseRepresentation
bin1010000011010000110001…
…0010011110010000011000
31110010110222010121122100120
42200310030102132100120
52422030232144143340
635300455332033240
72220263654533254
oct240641422362030
943113863548316
1011051157021720
113580851043562
1212a5956162820
13622172ababca
142a2c43809264
151426ec8ea4d0
hexa0d0c49e418

11051157021720 has 128 divisors (see below), whose sum is σ = 33253126525440. Its totient is φ = 2938119065600.

The previous prime is 11051157021679. The next prime is 11051157021727. The reversal of 11051157021720 is 2712075115011.

It is a super-2 number, since 2×110511570217202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11051157021727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600564520 + ... + 600582920.

It is an arithmetic number, because the mean of its divisors is an integer number (259790050980).

Almost surely, 211051157021720 is an apocalyptic number.

11051157021720 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 11051157021720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626563262720).

11051157021720 is an abundant number, since it is smaller than the sum of its proper divisors (22201969503720).

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

11051157021720 is a wasteful number, since it uses less digits than its factorization.

11051157021720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33185 (or 33181 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 33.

The spelling of 11051157021720 in words is "eleven trillion, fifty-one billion, one hundred fifty-seven million, twenty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 10410 13880 14423 18401 20820 28846 36802 41640 43269 55203 57692 72115 73604 86538 92005 110406 115384 144230 147208 173076 184010 216345 220812 276015 288460 346152 368020 432690 441624 552030 576920 736040 865380 1104060 1730760 2208120 5004781 6385147 10009562 12770294 15014343 19155441 20019124 25023905 25540588 30028686 31925735 38310882 40038248 50047810 51081176 60057372 63851470 75071715 76621764 95777205 100095620 120114744 127702940 150143430 153243528 191554410 200191240 255405880 265397623 300286860 383108820 530795246 600573720 766217640 796192869 1061590492 1326988115 1592385738 2123180984 2653976230 3184771476 3980964345 5307952460 6369542952 7961928690 10615904920 15923857380 31847714760 92092975181 184185950362 276278925543 368371900724 460464875905 552557851086 736743801448 920929751810 1105115702172 1381394627715 1841859503620 2210231404344 2762789255430 3683719007240 5525578510860 11051157021720