Search a number
-
+
11022010022040 = 23352831289251791
BaseRepresentation
bin1010000001100100001011…
…1111011111100010011000
31110000200201211101122102220
42200121002333133202120
52421041034031201130
635235235210424040
72215212453242643
oct240310277374230
943020654348386
1011022010022040
11356a454350276
1212a0180a32020
1361c4a9374934
142a167a7a4a5a
15141a93b17410
hexa0642fdf898

11022010022040 has 128 divisors (see below), whose sum is σ = 33208746163200. Its totient is φ = 2926533012480.

The previous prime is 11022010022039. The next prime is 11022010022117. The reversal of 11022010022040 is 4022001022011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43648545 + ... + 43900335.

It is an arithmetic number, because the mean of its divisors is an integer number (259443329400).

Almost surely, 211022010022040 is an apocalyptic number.

11022010022040 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 11022010022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604373081600).

11022010022040 is an abundant number, since it is smaller than the sum of its proper divisors (22186736141160).

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

11022010022040 is a wasteful number, since it uses less digits than its factorization.

11022010022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253377 (or 253373 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11022010022040 its reverse (4022001022011), we get a palindrome (15044011044051).

The spelling of 11022010022040 in words is "eleven trillion, twenty-two billion, ten million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 283 566 849 1132 1289 1415 1698 2264 2578 2830 3396 3867 4245 5156 5660 6445 6792 7734 8490 10312 11320 12890 15468 16980 19335 25780 30936 33960 38670 51560 77340 154680 251791 364787 503582 729574 755373 1007164 1094361 1258955 1459148 1510746 1823935 2014328 2188722 2517910 2918296 3021492 3647870 3776865 4377444 5035820 5471805 6042984 7295740 7553730 8754888 10071640 10943610 14591480 15107460 21887220 30214920 43774440 71256853 142513706 213770559 285027412 324558599 356284265 427541118 570054824 649117198 712568530 855082236 973675797 1068852795 1298234396 1425137060 1622792995 1710164472 1947351594 2137705590 2596468792 2850274120 3245585990 3894703188 4275411180 4868378985 6491171980 7789406376 8550822360 9736757970 12982343960 19473515940 38947031880 91850083517 183700167034 275550250551 367400334068 459250417585 551100501102 734800668136 918500835170 1102201002204 1377751252755 1837001670340 2204402004408 2755502505510 3674003340680 5511005011020 11022010022040