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121103131111232 = 2641307187380263
BaseRepresentation
bin11011100010010010000101…
…000111000110111101000000
3120212210100100102120201210212
4123202102011013012331000
5111333123203031024412
61105322002125013252
734336261325003654
oct3342220507067500
9525710312521725
10121103131111232
11356506053a6436
12116ba7216b4228
135275c8cb0398a
1421c95cc30ca64
15e00284e48222
hex6e24851c6f40

121103131111232 has 112 divisors (see below), whose sum is σ = 247112158161792. Its totient is φ = 58850101739520.

The previous prime is 121103131111219. The next prime is 121103131111247. The reversal of 121103131111232 is 232111131301121.

121103131111232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121103131111198 and 121103131111207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508788733 + ... + 1508868995.

It is an arithmetic number, because the mean of its divisors is an integer number (2206358555016).

Almost surely, 2121103131111232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121103131111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123556079080896).

121103131111232 is an abundant number, since it is smaller than the sum of its proper divisors (126009027050560).

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

121103131111232 is a wasteful number, since it uses less digits than its factorization.

121103131111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82496 (or 82486 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 121103131111232 its reverse (232111131301121), we get a palindrome (353214262412353).

The spelling of 121103131111232 in words is "one hundred twenty-one trillion, one hundred three billion, one hundred thirty-one million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 307 328 614 656 1228 1312 1873 2456 2624 3746 4912 7492 9824 12587 14984 19648 25174 29968 50348 59936 76793 80263 100696 119872 153586 160526 201392 307172 321052 402784 575011 614344 642104 805568 1150022 1228688 1284208 2300044 2457376 2568416 3290783 4600088 4914752 5136832 6581566 9200176 13163132 18400352 23575451 24640741 26326264 36800704 47150902 49281482 52652528 94301804 98562964 105305056 150332599 188603608 197125928 210610112 300665198 377207216 394251856 601330396 754414432 788503712 1010270381 1202660792 1508828864 1577007424 2020540762 2405321584 4041081524 4810643168 6163636559 8082163048 9621286336 12327273118 16164326096 24654546236 32328652192 46152107893 49309092472 64657304384 92304215786 98618184944 184608431572 197236369888 369216863144 394472739776 738433726288 1476867452576 1892236423613 2953734905152 3784472847226 7568945694452 15137891388904 30275782777808 60551565555616 121103131111232