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11034213212040 = 23352919267164569
BaseRepresentation
bin1010000010010001101001…
…0110111101111110001000
31110001212020021211221001220
42200210122112331332020
52421241032040241130
635245014135242040
72216124042531234
oct240443226757610
943055207757056
1011034213212040
113574646773567
1212a2607819320
136206a263c715
142a20b73955c4
1514205a122410
hexa091a5bdf88

11034213212040 has 128 divisors (see below), whose sum is σ = 34246095408000. Its totient is φ = 2840828110848.

The previous prime is 11034213212039. The next prime is 11034213212047. The reversal of 11034213212040 is 4021231243011.

It is a super-2 number, since 2×110342132120402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11034213212040.

It is not an unprimeable number, because it can be changed into a prime (11034213212047) 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, 66966876 + ... + 67131444.

It is an arithmetic number, because the mean of its divisors is an integer number (267547620375).

Almost surely, 211034213212040 is an apocalyptic number.

11034213212040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034213212040 is an abundant number, since it is smaller than the sum of its proper divisors (23211882195960).

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

11034213212040 is a wasteful number, since it uses less digits than its factorization.

11034213212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183879 (or 183875 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11034213212040 its reverse (4021231243011), we get a palindrome (15055444455051).

The spelling of 11034213212040 in words is "eleven trillion, thirty-four billion, two hundred thirteen million, two hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 19267 38534 57801 77068 96335 115602 154136 164569 192670 231204 289005 329138 385340 462408 493707 558743 578010 658276 770680 822845 987414 1117486 1156020 1316552 1645690 1676229 1974828 2234972 2312040 2468535 2793715 3291380 3352458 3949656 4469944 4772501 4937070 5587430 6582760 6704916 8381145 9545002 9874140 11174860 13409832 14317503 16762290 19090004 19748280 22349720 23862505 28635006 33524580 38180008 47725010 57270012 67049160 71587515 95450020 114540024 143175030 190900040 286350060 572700120 3170750923 6341501846 9512252769 12683003692 15853754615 19024505538 25366007384 31707509230 38049011076 47561263845 63415018460 76098022152 91951776767 95122527690 126830036920 183903553534 190245055380 275855330301 367807107068 380490110760 459758883835 551710660602 735614214136 919517767670 1103421321204 1379276651505 1839035535340 2206842642408 2758553303010 3678071070680 5517106606020 11034213212040