Search a number
-
+
11051251232040 = 2332562694896781
BaseRepresentation
bin1010000011010001000111…
…1001110110110100101000
31110010111012200220000121200
42200310101321312310220
52422030430303411130
635300512535204200
72220266210363025
oct240642171666450
943114180800550
1011051251232040
11358089a240128
1212a5981816660
13622189485366
142a2c5213054c
15142705d09760
hexa0d11e76d28

11051251232040 has 96 divisors (see below), whose sum is σ = 35922303073800. Its totient is φ = 2946529635840.

The previous prime is 11051251232009. The next prime is 11051251232041. The reversal of 11051251232040 is 4023215215011.

It is a happy number.

11051251232040 is a `hidden beast` number, since 1 + 1 + 0 + 51 + 251 + 2 + 320 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8765851075524 + 2285400156516 = 2960718^2 + 1511754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11051251231995 and 11051251232013.

It is not an unprimeable number, because it can be changed into a prime (11051251232041) 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, 191551 + ... + 4705230.

Almost surely, 211051251232040 is an apocalyptic number.

11051251232040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11051251232040 is an abundant number, since it is smaller than the sum of its proper divisors (24871051841760).

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

11051251232040 is a wasteful number, since it uses less digits than its factorization.

11051251232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903067 (or 4903060 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11051251232040 its reverse (4023215215011), we get a palindrome (15074466447051).

The spelling of 11051251232040 in words is "eleven trillion, fifty-one billion, two hundred fifty-one million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6269 12538 18807 25076 31345 37614 50152 56421 62690 75228 94035 112842 125380 150456 188070 225684 250760 282105 376140 451368 564210 752280 1128420 2256840 4896781 9793562 14690343 19587124 24483905 29380686 39174248 44071029 48967810 58761372 73451715 88142058 97935620 117522744 146903430 176284116 195871240 220355145 293806860 352568232 440710290 587613720 881420580 1762841160 30697920089 61395840178 92093760267 122791680356 153489600445 184187520534 245583360712 276281280801 306979200890 368375041068 460468801335 552562561602 613958401780 736750082136 920937602670 1105125123204 1227916803560 1381406404005 1841875205340 2210250246408 2762812808010 3683750410680 5525625616020 11051251232040