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110553140214 = 232114121931721
BaseRepresentation
bin110011011110101111…
…0110000101111110110
3101120100122020102002200
41212331132300233312
53302403100441324
6122442025245330
710662416121066
oct1467536605766
9346318212080
10110553140214
1142981402590
1219514033846
13a56ac997ca
1454ca84d3a6
152d2095aec9
hex19bd7b0bf6

110553140214 has 144 divisors (see below), whose sum is σ = 269380408752. Its totient is φ = 32495616000.

The previous prime is 110553140171. The next prime is 110553140297. The reversal of 110553140214 is 412041355011.

110553140214 is a `hidden beast` number, since 1 + 105 + 531 + 4 + 0 + 21 + 4 = 666.

It is a super-2 number, since 2×1105531402142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64236874 + ... + 64238594.

It is an arithmetic number, because the mean of its divisors is an integer number (1870697283).

Almost surely, 2110553140214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110553140214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134690204376).

110553140214 is an abundant number, since it is smaller than the sum of its proper divisors (158827268538).

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

110553140214 is a wasteful number, since it uses less digits than its factorization.

110553140214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1971 counting only the distinct ones).

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

Adding to 110553140214 its reverse (412041355011), we get a palindrome (522594495225).

The spelling of 110553140214 in words is "one hundred ten billion, five hundred fifty-three million, one hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 193 198 246 369 386 451 579 738 902 1158 1353 1681 1721 1737 2123 2706 3362 3442 3474 4059 4246 5043 5163 6369 7913 8118 10086 10326 12738 15129 15489 15826 18491 18931 19107 23739 30258 30978 36982 37862 38214 47478 55473 56793 70561 71217 87043 110946 113586 141122 142434 166419 170379 174086 211683 261129 324433 332153 332838 340758 423366 522258 635049 648866 664306 776171 783387 973299 996459 1270098 1552342 1566774 1946598 1992918 2328513 2893001 2919897 2989377 3568763 3653683 4657026 5786002 5839794 5978754 6985539 7137526 7307366 8679003 10706289 10961049 13618273 13971078 17358006 21412578 21922098 26037009 27236546 31823011 32118867 32883147 40854819 52074018 63646022 64237734 65766294 81709638 95469033 122564457 149801003 190938066 245128914 286407099 299602006 449403009 558349193 572814198 898806018 1116698386 1348209027 1675047579 2696418054 3350095158 5025142737 6141841123 10050285474 12283682246 18425523369 36851046738 55276570107 110553140214