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11310121220 = 22529231109199
BaseRepresentation
bin10101000100010001…
…01100000100000100
31002012012222200120112
422202020230010010
5141130342334340
65110143052152
7550163305226
oct124210540404
932165880515
1011310121220
1148842a5522
1222378a1058
1310b325a228
1479415a416
15462dec065
hex2a222c104

11310121220 has 144 divisors (see below), whose sum is σ = 25753728000. Its totient is φ = 4167313920.

The previous prime is 11310121213. The next prime is 11310121231. The reversal of 11310121220 is 2212101311.

It is a super-2 number, since 2×113101212202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11310121195 and 11310121204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56834681 + ... + 56834879.

Almost surely, 211310121220 is an apocalyptic number.

11310121220 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 11310121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876864000).

11310121220 is an abundant number, since it is smaller than the sum of its proper divisors (14443606780).

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

11310121220 is a wasteful number, since it uses less digits than its factorization.

11310121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11310121220 its reverse (2212101311), we get a palindrome (13522222531).

The spelling of 11310121220 in words is "eleven billion, three hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 109 116 124 145 155 199 218 290 310 398 436 545 580 620 796 841 899 995 1090 1682 1798 1990 2180 3161 3364 3379 3596 3980 4205 4495 5771 6169 6322 6758 8410 8990 11542 12338 12644 13516 15805 16820 16895 17980 21691 23084 24676 26071 28855 30845 31610 33790 43382 52142 57710 61690 63220 67580 86764 91669 97991 104284 108455 115420 123380 130355 167359 178901 183338 195982 216910 260710 334718 357802 366676 391964 433820 458345 489955 521420 629039 669436 672421 715604 836795 894505 916690 979910 1258078 1344842 1673590 1789010 1833380 1959820 2516156 2689684 2841739 3145195 3347180 3362105 3578020 5188129 5683478 6290390 6724210 10376258 11366956 12580780 13448420 14208695 18242131 19500209 20752516 25940645 28417390 36484262 39000418 51881290 56834780 72968524 78000836 91210655 97501045 103762580 182421310 195002090 364842620 390004180 565506061 1131012122 2262024244 2827530305 5655060610 11310121220