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12113303013100 = 22522931238356543
BaseRepresentation
bin1011000001000101100100…
…0111111000011011101100
31120220000112220200112100001
42300101121013320123230
53041431021032404400
641432435150514044
72360104640514532
oct260213107703354
946800486615301
1012113303013100
11395024a837603
121437780805924
1369b3832b53c3
142dc403724152
15160164eb3a6a
hexb04591f86ec

12113303013100 has 144 divisors (see below), whose sum is σ = 28081722654720. Its totient is φ = 4525350278400.

The previous prime is 12113303013083. The next prime is 12113303013101. The reversal of 12113303013100 is 131030331121.

It is a super-2 number, since 2×121133030131002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12113303013101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214203429 + ... + 214259971.

It is an arithmetic number, because the mean of its divisors is an integer number (195011962880).

Almost surely, 212113303013100 is an apocalyptic number.

12113303013100 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 12113303013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040861327360).

12113303013100 is an abundant number, since it is smaller than the sum of its proper divisors (15968419641620).

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

12113303013100 is a wasteful number, since it uses less digits than its factorization.

12113303013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59000 (or 58993 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12113303013100 its reverse (131030331121), we get a palindrome (12244333344221).

The spelling of 12113303013100 in words is "twelve trillion, one hundred thirteen billion, three hundred three million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 155 290 310 580 620 725 775 899 1450 1550 1798 2383 2900 3100 3596 4495 4766 8990 9532 11915 17980 22475 23830 44950 47660 56543 59575 69107 73873 89900 113086 119150 138214 147746 226172 238300 276428 282715 295492 345535 369365 565430 691070 738730 1130860 1382140 1413575 1477460 1639747 1727675 1752833 1846825 2142317 2827150 3279494 3455350 3505666 3693650 4284634 5654300 6558988 6910700 7011332 7387300 8198735 8569268 8764165 10711585 16397470 17528330 21423170 32794940 35056660 40993675 42846340 43820825 50832157 53557925 81987350 87641650 101664314 107115850 134741969 163974700 175283300 203328628 214231700 254160785 269483938 508321570 538967876 673709845 1016643140 1270803925 1347419690 2541607850 2694839380 3368549225 3907517101 4177001039 5083215700 6737098450 7815034202 8354002078 13474196900 15630068404 16708004156 19537585505 20885005195 39075171010 41770010390 78150342020 83540020780 97687927525 104425025975 121133030131 195375855050 208850051950 242266060262 390751710100 417700103900 484532120524 605665150655 1211330301310 2422660602620 3028325753275 6056651506550 12113303013100