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121311235110 = 235133722337699
BaseRepresentation
bin111000011111010110…
…1101000110000100110
3102121010101111020220210
41300332231220300212
53441421134010420
6131421332440250
711523130325202
oct1607655506046
9377111436823
10121311235110
11474a20364aa
121b616a79086
13b593a57130
145c2b54db02
1532501649e0
hex1c3eb68c26

121311235110 has 128 divisors (see below), whose sum is σ = 323469619200. Its totient is φ = 28923111936.

The previous prime is 121311235091. The next prime is 121311235117. The reversal of 121311235110 is 11532113121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311235117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3199041 + ... + 3236739.

It is an arithmetic number, because the mean of its divisors is an integer number (2527106400).

Almost surely, 2121311235110 is an apocalyptic number.

121311235110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121311235110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161734809600).

121311235110 is an abundant number, since it is smaller than the sum of its proper divisors (202158384090).

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

121311235110 is a wasteful number, since it uses less digits than its factorization.

121311235110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37982.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 121311235110 its reverse (11532113121), we get a palindrome (132843348231).

The spelling of 121311235110 in words is "one hundred twenty-one billion, three hundred eleven million, two hundred thirty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 223 370 390 446 481 555 669 962 1110 1115 1338 1443 2230 2405 2886 2899 3345 4810 5798 6690 7215 8251 8697 14430 14495 16502 17394 24753 28990 37699 41255 43485 49506 75398 82510 86970 107263 113097 123765 188495 214526 226194 247530 321789 376990 490087 536315 565485 643578 980174 1072630 1130970 1394863 1470261 1608945 2450435 2789726 2940522 3217890 4184589 4900870 6974315 7351305 8369178 8406877 13948630 14702610 16813754 18133219 20922945 25220631 36266438 41845890 42034385 50441262 54399657 84068770 90666095 108799314 109289401 126103155 181332190 218578802 252206310 271998285 311054449 327868203 543996570 546447005 622108898 655736406 933163347 1092894010 1555272245 1639341015 1866326694 3110544490 3278682030 4043707837 4665816735 8087415674 9331633470 12131123511 20218539185 24262247022 40437078370 60655617555 121311235110