Search a number
-
+
13102211100 = 223521117233551
BaseRepresentation
bin11000011001111001…
…11110000000011100
31020211010010021201210
430030330332000130
5203313131223400
610004041504420
7642453646116
oct141474760034
936733107653
1013102211100
115613947140
122657aa2110
13130a60aa44
148c41743b6
1551a3e1950
hex30cf3e01c

13102211100 has 144 divisors (see below), whose sum is σ = 43788197376. Its totient is φ = 2989440000.

The previous prime is 13102211093. The next prime is 13102211131. The reversal of 13102211100 is 111220131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

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, 60676 + ... + 172875.

It is an arithmetic number, because the mean of its divisors is an integer number (304084704).

Almost surely, 213102211100 is an apocalyptic number.

13102211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102211100 is an abundant number, since it is smaller than the sum of its proper divisors (30685986276).

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

13102211100 is a wasteful number, since it uses less digits than its factorization.

13102211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233596 (or 233589 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13102211100 its reverse (111220131), we get a palindrome (13213431231).

The spelling of 13102211100 in words is "thirteen billion, one hundred two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 233551 467102 700653 934204 1167755 1401306 2335510 2569061 2802612 3503265 3970367 4671020 5138122 5838775 7006530 7707183 7940734 10276244 11677550 11911101 12845305 14013060 15414366 15881468 17516325 19851835 23355100 23822202 25690610 30828732 35032650 38535915 39703670 43674037 47644404 51381220 59555505 64226525 70065300 77071830 79407340 87348074 99259175 119111010 128453050 131022111 154143660 174696148 192679575 198518350 218370185 238222020 256906100 262044222 297777525 385359150 397036700 436740370 524088444 595555050 655110555 770718300 873480740 1091850925 1191110100 1310221110 2183701850 2620442220 3275552775 4367403700 6551105550 13102211100