Search a number
-
+
13124331310120 = 23519231375480437
BaseRepresentation
bin1011111011111011111100…
…0110110000110000101000
31201110200012012210111021021
42332332333012300300220
53210012112303410440
643525122400022224
72523126110323162
oct276767706606050
951420165714237
1013124331310120
1141aaaa7968258
12157b700001974
13742808305384
143353146c5932
1517b5d9a0884a
hexbefbf1b0c28

13124331310120 has 128 divisors (see below), whose sum is σ = 32672179180800. Its totient is φ = 4722469779456.

The previous prime is 13124331310043. The next prime is 13124331310121. The reversal of 13124331310120 is 2101313342131.

It is a super-2 number, since 2×131243313101202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13124331310121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345459 + ... + 5134978.

It is an arithmetic number, because the mean of its divisors is an integer number (255251399850).

Almost surely, 213124331310120 is an apocalyptic number.

13124331310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124331310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336089590400).

13124331310120 is an abundant number, since it is smaller than the sum of its proper divisors (19547847870680).

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

13124331310120 is a wasteful number, since it uses less digits than its factorization.

13124331310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480627 (or 5480623 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13124331310120 its reverse (2101313342131), we get a palindrome (15225644652251).

The spelling of 13124331310120 in words is "thirteen trillion, one hundred twenty-four billion, three hundred thirty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 137 152 184 190 230 274 380 437 460 548 685 760 874 920 1096 1370 1748 2185 2603 2740 3151 3496 4370 5206 5480 6302 8740 10412 12604 13015 15755 17480 20824 25208 26030 31510 52060 59869 63020 104120 119738 126040 239476 299345 478952 598690 1197380 2394760 5480437 10960874 21921748 27402185 43843496 54804370 104128303 109608740 126050051 208256606 219217480 252100102 416513212 504200204 520641515 630250255 750819869 833026424 1008400408 1041283030 1260500510 1501639738 2082566060 2394950969 2521001020 3003279476 3754099345 4165132120 4789901938 5042002040 6006558952 7508198690 9579803876 11974754845 14265577511 15016397380 17268856987 19159607752 23949509690 28531155022 30032794760 34537713974 47899019380 57062310044 69075427948 71327887555 86344284935 95798038760 114124620088 138150855896 142655775110 172688569870 285311550220 328108282753 345377139740 570623100440 656216565506 690754279480 1312433131012 1640541413765 2624866262024 3281082827530 6562165655060 13124331310120