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131303122019800 = 23525344927588167
BaseRepresentation
bin11101110110101101100011…
…111100100010010111011000
3122012220110022022222210000221
4131312231203330202113120
5114202232243214113200
61143131453241205424
736441223524131533
oct3566554374422730
9565813268883027
10131303122019800
1138923383351075
1212887511a90874
135835aa6417203
14245d168233a1a
15102a76761691a
hex776b63f225d8

131303122019800 has 96 divisors (see below), whose sum is σ = 311732504316000. Its totient is φ = 51415513210880.

The previous prime is 131303122019791. The next prime is 131303122019801. The reversal of 131303122019800 is 8910221303131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303122019801) 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, 9034684 + ... + 18553483.

It is an arithmetic number, because the mean of its divisors is an integer number (3247213586625).

Almost surely, 2131303122019800 is an apocalyptic number.

131303122019800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303122019800 is an abundant number, since it is smaller than the sum of its proper divisors (180429382296200).

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

131303122019800 is a wasteful number, since it uses less digits than its factorization.

131303122019800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27588685 (or 27588676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 131303122019800 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, nineteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 449 530 898 1060 1325 1796 2120 2245 2650 3592 4490 5300 8980 10600 11225 17960 22450 23797 44900 47594 89800 95188 118985 190376 237970 475940 594925 951880 1189850 2379700 4759400 27588167 55176334 110352668 137940835 220705336 275881670 551763340 689704175 1103526680 1379408350 1462172851 2758816700 2924345702 5517633400 5848691404 7310864255 11697382808 12387086983 14621728510 24774173966 29243457020 36554321275 49548347932 58486914040 61935434915 73108642550 99096695864 123870869830 146217285100 247741739660 292434570200 309677174575 495483479320 619354349150 656515610099 1238708698300 1313031220198 2477417396600 2626062440396 3282578050495 5252124880792 6565156100990 13130312201980 16412890252475 26260624403960 32825780504950 65651561009900 131303122019800