Search a number
-
+
122103130001300 = 225271710260767227
BaseRepresentation
bin11011110000110101011001…
…101100001000111110010100
3121000022221112001220202202022
4123300311121230020332110
5112001014202240020200
61111405223055432312
734501442250221030
oct3360653154107624
9530287461822668
10122103130001300
11359a6712733428
12118404a3225698
135319377aa1246
142221b745471c0
15e1b2b1540885
hex6f0d59b08f94

122103130001300 has 72 divisors (see below), whose sum is σ = 320628454340544. Its totient is φ = 39401346147840.

The previous prime is 122103130001291. The next prime is 122103130001309. The reversal of 122103130001300 is 3100031301221.

It is an interprime number because it is at equal distance from previous prime (122103130001291) and next prime (122103130001309).

It is a super-2 number, since 2×1221031300013002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103130001309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5130371714 + ... + 5130395513.

It is an arithmetic number, because the mean of its divisors is an integer number (4453172976952).

Almost surely, 2122103130001300 is an apocalyptic number.

122103130001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122103130001300 is an abundant number, since it is smaller than the sum of its proper divisors (198525324339244).

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

122103130001300 is a wasteful number, since it uses less digits than its factorization.

122103130001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260767265 (or 10260767258 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 122103130001300 its reverse (3100031301221), we get a palindrome (125203161302521).

The spelling of 122103130001300 in words is "one hundred twenty-two trillion, one hundred three billion, one hundred thirty million, one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 10260767227 20521534454 41043068908 51303836135 71825370589 102607672270 143650741178 174433042859 205215344540 256519180675 287301482356 348866085718 359126852945 513038361350 697732171436 718253705890 872165214295 1026076722700 1221031300013 1436507411780 1744330428590 1795634264725 2442062600026 3488660857180 3591268529450 4360826071475 4884125200052 6105156500065 7182537058900 8721652142950 12210313000130 17443304285900 24420626000260 30525782500325 61051565000650 122103130001300