Search a number
-
+
12112021020100 = 225210917929321187
BaseRepresentation
bin1011000001000000110010…
…1101011101110111000100
31120212220020120101112112211
42300100030231131313010
53041420404340120400
641432104033153204
72360031112662601
oct260201455356704
946786216345484
1012112021020100
11394a752119261
1214374833bb804
1369b20a813671
142dc32136d6a8
151600dc67ddba
hexb040cb5ddc4

12112021020100 has 144 divisors (see below), whose sum is σ = 26764690075200. Its totient is φ = 4757026475520.

The previous prime is 12112021020091. The next prime is 12112021020103. The reversal of 12112021020100 is 102012021121.

It is not an unprimeable number, because it can be changed into a prime (12112021020103) 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, 571661707 + ... + 571682893.

It is an arithmetic number, because the mean of its divisors is an integer number (185865903300).

Almost surely, 212112021020100 is an apocalyptic number.

12112021020100 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 12112021020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382345037600).

12112021020100 is an abundant number, since it is smaller than the sum of its proper divisors (14652669055100).

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

12112021020100 is a wasteful number, since it uses less digits than its factorization.

12112021020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21782 (or 21775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12112021020100 its reverse (102012021121), we get a palindrome (12214033041221).

The spelling of 12112021020100 in words is "twelve trillion, one hundred twelve billion, twenty-one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 179 218 293 358 436 545 586 716 895 1090 1172 1465 1790 2180 2725 2930 3580 4475 5450 5860 7325 8950 10900 14650 17900 19511 21187 29300 31937 39022 42374 52447 63874 78044 84748 97555 104894 105935 127748 159685 195110 209788 211870 262235 319370 390220 423740 487775 524470 529675 638740 798425 975550 1048940 1059350 1311175 1596850 1951100 2118700 2309383 2622350 3193700 3792473 4618766 5244700 5716723 6207791 7584946 9237532 11433446 11546915 12415582 15169892 18962365 22866892 23093830 24831164 28583615 31038955 37924730 46187660 57167230 57734575 62077910 75849460 94811825 114334460 115469150 124155820 142918075 155194775 189623650 230938300 285836150 310389550 379247300 413379557 571672300 620779100 676649219 826759114 1111194589 1353298438 1653518228 2066897785 2222389178 2706596876 3383246095 4133795570 4444778356 5555972945 6766492190 8267591140 10334488925 11111945890 13532984380 16916230475 20668977850 22223891780 27779864725 33832460950 41337955700 55559729450 67664921900 111119458900 121120210201 242240420402 484480840804 605601051005 1211202102010 2422404204020 3028005255025 6056010510050 12112021020100