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122513212010 = 257171915734513
BaseRepresentation
bin111001000011001011…
…0110100001001101010
3102201020011020000020202
41302012112310021222
54001401340241020
6132140511152202
711564664056060
oct1620626641152
9381204200222
10122513212010
1147a59572542
121b8b1515662
13b725a91377
145d03036030
1532c0940e75
hex1c865b426a

122513212010 has 128 divisors (see below), whose sum is σ = 282694510080. Its totient is φ = 37213323264.

The previous prime is 122513212009. The next prime is 122513212013. The reversal of 122513212010 is 10212315221.

It is a super-3 number, since 3×1225132120103 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122513212013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3532514 + ... + 3567026.

It is an arithmetic number, because the mean of its divisors is an integer number (2208550860).

Almost surely, 2122513212010 is an apocalyptic number.

122513212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122513212010 is an abundant number, since it is smaller than the sum of its proper divisors (160181298070).

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

122513212010 is a wasteful number, since it uses less digits than its factorization.

122513212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34720.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 122513212010 its reverse (10212315221), we get a palindrome (132725527231).

The spelling of 122513212010 in words is "one hundred twenty-two billion, five hundred thirteen million, two hundred twelve thousand, ten".

Divisors: 1 2 5 7 10 14 17 19 34 35 38 70 85 95 119 133 157 170 190 238 266 314 323 595 646 665 785 1099 1190 1330 1570 1615 2198 2261 2669 2983 3230 4522 5338 5495 5966 10990 11305 13345 14915 18683 20881 22610 26690 29830 34513 37366 41762 50711 69026 93415 101422 104405 172565 186830 208810 241591 253555 345130 354977 483182 507110 586721 655747 709954 1173442 1207955 1311494 1774885 2415910 2933605 3278735 3549770 4107047 4590229 5418541 5867210 6557470 8214094 9180458 10837082 11147699 20535235 22295398 22951145 27092705 37929787 41070470 45902290 54185410 55738495 75859574 78033893 92115197 102952279 111476990 156067786 184230394 189648935 205904558 379297870 390169465 460575985 514761395 644806379 720665953 780338930 921151970 1029522790 1289612758 1441331906 1750188743 3224031895 3500377486 3603329765 6448063790 7206659530 8750943715 12251321201 17501887430 24502642402 61256606005 122513212010