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13100121431300 = 2252314794195549
BaseRepresentation
bin1011111010100001110000…
…0101011001110100000100
31201101100200222122012221202
42332220130011121310010
53204113022041300200
643510040202202032
72521311135622121
oct276503405316404
951340628565852
1013100121431300
1141a0804034a42
121576a841b3318
1374044a6a33a7
14334099255748
1517ab6e3ab1d5
hexbea1c159d04

13100121431300 has 144 divisors (see below), whose sum is σ = 30000779827200. Its totient is φ = 4957794624000.

The previous prime is 13100121431261. The next prime is 13100121431303. The reversal of 13100121431300 is 313412100131.

It is a super-2 number, since 2×131001214313002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13100121431303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137055926 + ... + 137151474.

It is an arithmetic number, because the mean of its divisors is an integer number (208338748800).

Almost surely, 213100121431300 is an apocalyptic number.

13100121431300 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 13100121431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000389913600).

13100121431300 is an abundant number, since it is smaller than the sum of its proper divisors (16900658395900).

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

13100121431300 is a wasteful number, since it uses less digits than its factorization.

13100121431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96582 (or 96575 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13100121431300 its reverse (313412100131), we get a palindrome (13413533531431).

The spelling of 13100121431300 in words is "thirteen trillion, one hundred billion, one hundred twenty-one million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 47 50 62 94 100 124 155 188 235 310 470 620 775 940 941 1175 1457 1550 1882 2350 2914 3100 3764 4700 4705 5828 7285 9410 14570 18820 23525 29140 29171 36425 44227 47050 58342 72850 88454 94100 95549 116684 145700 145855 176908 191098 221135 291710 382196 442270 477745 583420 729275 884540 955490 1105675 1371037 1458550 1910980 2211350 2388725 2742074 2917100 2962019 4422700 4490803 4777450 5484148 5924038 6855185 8981606 9554900 11848076 13710370 14810095 17963212 22454015 27420740 29620190 34275925 44908030 59240380 68551850 74050475 89816060 89911609 112270075 137103700 139214893 148100950 179823218 224540150 278429786 296201900 359646436 449080300 449558045 556859572 696074465 899116090 1392148930 1798232180 2247790225 2784297860 2787259879 3480372325 4225845623 4495580450 5574519758 6960744650 8451691246 8991160900 11149039516 13921489300 13936299395 16903382492 21129228115 27872598790 42258456230 55745197580 69681496975 84516912460 105646140575 131001214313 139362993950 211292281150 262002428626 278725987900 422584562300 524004857252 655006071565 1310012143130 2620024286260 3275030357825 6550060715650 13100121431300