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13121020300300 = 22521128591262377
BaseRepresentation
bin1011111011101111100111…
…0000010000110000001100
31201110100122110112202122221
42332323321300100300030
53204433322144102200
643523414041345124
72522651054234263
oct276737160206014
951410573482587
1013121020300300
1141a9658993600
12157ab371981a4
137423cb369973
143350bca815da
1517b493ecd91a
hexbeef9c10c0c

13121020300300 has 108 divisors (see below), whose sum is σ = 31332802653880. Its totient is φ = 4765721875200.

The previous prime is 13121020300229. The next prime is 13121020300303. The reversal of 13121020300300 is 300302012131.

13121020300300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131210203003002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13121020300303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9762712 + ... + 11025088.

Almost surely, 213121020300300 is an apocalyptic number.

13121020300300 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 13121020300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666401326940).

13121020300300 is an abundant number, since it is smaller than the sum of its proper divisors (18211782353580).

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

13121020300300 is a wasteful number, since it uses less digits than its factorization.

13121020300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263272 (or 1263254 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13121020300300 its reverse (300302012131), we get a palindrome (13421322312431).

The spelling of 13121020300300 in words is "thirteen trillion, one hundred twenty-one billion, twenty million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 859 1100 1210 1718 2420 3025 3436 4295 6050 8590 9449 12100 17180 18898 21475 37796 42950 47245 85900 94490 103939 188980 207878 236225 415756 472450 519695 944900 1039390 1262377 2078780 2524754 2598475 5049508 5196950 6311885 10393900 12623770 13886147 25247540 27772294 31559425 55544588 63118850 69430735 126237700 138861470 152747617 277722940 305495234 347153675 610990468 694307350 763738085 1084381843 1388614700 1527476170 2168763686 3054952340 3818690425 4337527372 5421909215 7637380850 10843818430 11928200273 15274761700 21687636860 23856400546 27109546075 47712801092 54219092150 59641001365 108438184300 119282002730 131210203003 238564005460 262420406006 298205006825 524840812012 596410013650 656051015015 1192820027300 1312102030030 2624204060060 3280255075075 6560510150150 13121020300300