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10120322212 = 227211132912451
BaseRepresentation
bin10010110110011011…
…11101110010100100
3222010022011122011121
421123031331302210
5131211300302322
64352121343324
7505535214400
oct113315756244
928108148147
1010120322212
114323726960
121b65337b44
13c538c7c50
146c0124100
153e3728ec7
hex25b37dca4

10120322212 has 144 divisors (see below), whose sum is σ = 25040473920. Its totient is φ = 3513888000.

The previous prime is 10120322197. The next prime is 10120322213. The reversal of 10120322212 is 21222302101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10120322213) 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 47 ways as a sum of consecutive naturals, for example, 806587 + ... + 819037.

It is an arithmetic number, because the mean of its divisors is an integer number (173892180).

Almost surely, 210120322212 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 10120322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520236960).

10120322212 is an abundant number, since it is smaller than the sum of its proper divisors (14920151708).

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

10120322212 is a wasteful number, since it uses less digits than its factorization.

10120322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10120322212 its reverse (21222302101), we get a palindrome (31342624313).

The spelling of 10120322212 in words is "ten billion, one hundred twenty million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 49 52 58 77 91 98 116 143 154 182 196 203 286 308 319 364 377 406 539 572 637 638 754 812 1001 1078 1274 1276 1421 1508 2002 2156 2233 2548 2639 2842 4004 4147 4466 5278 5684 7007 8294 8932 10556 12451 14014 15631 16588 18473 24902 28028 29029 31262 36946 49804 58058 62524 73892 87157 116116 136961 161863 174314 203203 273922 323726 348628 361079 406406 547844 610099 647452 722158 812812 958727 1133041 1220198 1444316 1780493 1917454 2266082 2440396 2527553 3560986 3834908 3971869 4532164 4694027 5055106 6711089 7121972 7931287 7943738 9388054 10110212 12463451 13422178 15862574 15887476 17692871 18776108 24926902 26844356 27803083 31725148 32858189 35385742 49853804 51634297 55606166 65716378 70771484 87244157 103268594 111212332 131432756 174488314 194621581 206537188 230007323 348976628 361440079 389243162 460014646 722880158 778486324 920029292 1445760316 2530080553 5060161106 10120322212