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11034121320 = 2334517200329
BaseRepresentation
bin10100100011010111…
…10101010001101000
31001110222122102220000
422101223311101220
5140044213340240
65022523303000
7540302324625
oct122153652150
931428572800
1011034121320
114752523732
12217b37aa60
13106b013491
1476963334c
15448a7e430
hex291af5468

11034121320 has 160 divisors (see below), whose sum is σ = 39268686600. Its totient is φ = 2769334272.

The previous prime is 11034121271. The next prime is 11034121349. The reversal of 11034121320 is 2312143011.

11034121320 is a `hidden beast` number, since 1 + 1 + 0 + 341 + 2 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11023740036 + 10381284 = 104994^2 + 3222^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11034121293 and 11034121302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45085 + ... + 155244.

Almost surely, 211034121320 is an apocalyptic number.

11034121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034121320 is an abundant number, since it is smaller than the sum of its proper divisors (28234565280).

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

11034121320 is a wasteful number, since it uses less digits than its factorization.

11034121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200369 (or 200356 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11034121320 its reverse (2312143011), we get a palindrome (13346264331).

The spelling of 11034121320 in words is "eleven billion, thirty-four million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 200329 400658 600987 801316 1001645 1201974 1602632 1802961 2003290 2403948 3004935 3405593 3605922 4006580 4807896 5408883 6009870 6811186 7211844 8013160 9014805 10216779 10817766 12019740 13622372 14423688 16226649 17027965 18029610 20433558 21635532 24039480 27044415 27244744 30650337 32453298 34055930 36059220 40867116 43271064 51083895 54088830 61300674 64906596 68111860 72118440 81133245 81734232 91951011 102167790 108177660 122601348 129813192 136223720 153251685 162266490 183902022 204335580 216355320 245202696 275853033 306503370 324532980 367804044 408671160 459755055 551706066 613006740 649065960 735608088 919510110 1103412132 1226013480 1379265165 1839020220 2206824264 2758530330 3678040440 5517060660 11034121320