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13124412501240 = 2335307356254411
BaseRepresentation
bin1011111011111100001111…
…1100011110110011111000
31201110200101212120102112210
42332333003330132303320
53210012244100014430
643525134420135120
72523131114410035
oct276770374366370
951420355512483
1013124412501240
114200039782357
12157b7232374a0
1374281c091961
143353213bc38c
1517b5e1be52b0
hexbefc3f1ecf8

13124412501240 has 64 divisors (see below), whose sum is σ = 39501489202560. Its totient is φ = 3488443182720.

The previous prime is 13124412501223. The next prime is 13124412501257. The reversal of 13124412501240 is 4210521442131.

It is an interprime number because it is at equal distance from previous prime (13124412501223) and next prime (13124412501257).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13124412501198 and 13124412501207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178090366 + ... + 178164045.

It is an arithmetic number, because the mean of its divisors is an integer number (617210768790).

Almost surely, 213124412501240 is an apocalyptic number.

13124412501240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124412501240 is an abundant number, since it is smaller than the sum of its proper divisors (26377076701320).

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

13124412501240 is a wasteful number, since it uses less digits than its factorization.

13124412501240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356254732 (or 356254728 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 13124412501240 its reverse (4210521442131), we get a palindrome (17334933943371).

The spelling of 13124412501240 in words is "thirteen trillion, one hundred twenty-four billion, four hundred twelve million, five hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1535 1842 2456 3070 3684 4605 6140 7368 9210 12280 18420 36840 356254411 712508822 1068763233 1425017644 1781272055 2137526466 2850035288 3562544110 4275052932 5343816165 7125088220 8550105864 10687632330 14250176440 21375264660 42750529320 109370104177 218740208354 328110312531 437480416708 546850520885 656220625062 874960833416 1093701041770 1312441250124 1640551562655 2187402083540 2624882500248 3281103125310 4374804167080 6562206250620 13124412501240