Search a number
-
+
102222133303232 = 26173125112074819
BaseRepresentation
bin10111001111100001110001…
…111100011001011111000000
3111101221100012020011100212202
4113033201301330121133000
5101344301412111200412
61001224111051212332
730350206520442215
oct2717416174313700
9441840166140782
10102222133303232
112a6311883624a8
12b56b4017470a8
1345066763525c7
141b35813103b0c
15bc4073dd23c2
hex5cf871f197c0

102222133303232 has 112 divisors (see below), whose sum is σ = 222590902625280. Its totient is φ = 46367301120000.

The previous prime is 102222133303207. The next prime is 102222133303271. The reversal of 102222133303232 is 232303331222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222133303195 and 102222133303204.

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, 2428319 + ... + 14503137.

It is an arithmetic number, because the mean of its divisors is an integer number (1987418773440).

Almost surely, 2102222133303232 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 102222133303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111295451312640).

102222133303232 is an abundant number, since it is smaller than the sum of its proper divisors (120368769322048).

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

102222133303232 is a wasteful number, since it uses less digits than its factorization.

102222133303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12075130 (or 12075120 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 102222133303232 its reverse (232303331222201), we get a palindrome (334525464525433).

The spelling of 102222133303232 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred thirty-three million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 251 272 496 502 527 544 992 1004 1054 1088 1984 2008 2108 4016 4216 4267 7781 8032 8432 8534 15562 16064 16864 17068 31124 33728 34136 62248 68272 124496 132277 136544 248992 264554 273088 497984 529108 1058216 2116432 4232864 8465728 12074819 24149638 48299276 96598552 193197104 205271923 374319389 386394208 410543846 748638778 772788416 821087692 1497277556 1642175384 2994555112 3030779569 3284350768 5989110224 6061559138 6363429613 6568701536 11978220448 12123118276 12726859226 13137403072 23956440896 24246236552 25453718452 48492473104 50907436904 51523252673 93954166639 96984946208 101814873808 103046505346 187908333278 193969892416 203629747616 206093010692 375816666556 407259495232 412186021384 751633333112 824372042768 1503266666224 1597220832863 1648744085536 3006533332448 3194441665726 3297488171072 6013066664896 6388883331452 12777766662904 25555533325808 51111066651616 102222133303232