Search a number
-
+
10341233320122 = 2342925712596803
BaseRepresentation
bin1001011001111100000110…
…0010011110000010111010
31100121121112022220222020000
42112133001202132002322
52323412321212220442
633554410315213430
72115062254613145
oct226370142360272
940547468828200
1010341233320122
113327768682a91
1211b024a147276
135a02356c90b3
1427a73856305c
1512deec506d4c
hex967c189e0ba

10341233320122 has 160 divisors (see below), whose sum is σ = 24086984644800. Its totient is φ = 3312142589952.

The previous prime is 10341233320109. The next prime is 10341233320123. The reversal of 10341233320122 is 22102333214301.

10341233320122 is a `hidden beast` number, since 10 + 3 + 412 + 3 + 33 + 201 + 2 + 2 = 666.

It is a super-6 number, since 6×103412333201226 (a number of 79 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10341233320123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1520095573 + ... + 1520102375.

It is an arithmetic number, because the mean of its divisors is an integer number (150543654030).

Almost surely, 210341233320122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10341233320122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043492322400).

10341233320122 is an abundant number, since it is smaller than the sum of its proper divisors (13745751324678).

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

10341233320122 is a wasteful number, since it uses less digits than its factorization.

10341233320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10341233320122 its reverse (22102333214301), we get a palindrome (32443566534423).

The spelling of 10341233320122 in words is "ten trillion, three hundred forty-one billion, two hundred thirty-three million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 257 261 514 522 771 783 1259 1542 1566 2313 2349 2518 3777 4626 4698 6803 6939 7453 7554 11331 13606 13878 14906 20409 20817 22359 22662 33993 36511 40818 41634 44718 61227 67077 67986 73022 101979 109533 122454 134154 183681 197287 201231 203958 219066 323563 328599 367362 394574 402462 551043 591861 603693 647126 657198 970689 985797 1102086 1183722 1207386 1748371 1775583 1941378 1971594 2912067 2957391 3496742 3551166 5245113 5326749 5824134 5914782 8564977 8736201 9383327 10490226 10653498 15735339 15980247 17129954 17472402 18766654 25694931 26208603 28149981 31470678 31960494 47206017 50702759 51389862 52417206 56299962 77084793 84449943 94412034 101405518 141618051 152108277 154169586 168899886 231254379 248384333 253349829 283236102 304216554 456324831 462508758 496768666 506699658 693763137 745152999 760049487 912649662 1368974493 1387526274 1490305998 1520098974 2201199089 2235458997 2737948986 4106923479 4402398178 4470917994 6603597267 6706376991 8213846958 13207194534 13412753982 19810791801 20119130973 39621583602 40238261946 59432375403 63834773581 118864750806 127669547162 178297126209 191504320743 356594252418 383008641486 574512962229 1149025924458 1723538886687 3447077773374 5170616660061 10341233320122