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13100030431440 = 243554583460131
BaseRepresentation
bin1011111010100001011010…
…1010010001000011010000
31201101100110122101221121120
42332220112222101003100
53204112330242301230
643510023151522240
72521305652263321
oct276502652210320
951340418357546
1013100030431440
1141a0767730447
121576a59829380
13740434891314
1433408b128448
1517ab663d3310
hexbea16a910d0

13100030431440 has 40 divisors (see below), whose sum is σ = 40610094338208. Its totient is φ = 3493341448320.

The previous prime is 13100030431417. The next prime is 13100030431469. The reversal of 13100030431440 is 4413403000131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×131000304314402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13100030431440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27291729826 + ... + 27291730305.

Almost surely, 213100030431440 is an apocalyptic number.

13100030431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100030431440 is an abundant number, since it is smaller than the sum of its proper divisors (27510063906768).

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

13100030431440 is a wasteful number, since it uses less digits than its factorization.

13100030431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54583460147 (or 54583460141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13100030431440 its reverse (4413403000131), we get a palindrome (17513433431571).

The spelling of 13100030431440 in words is "thirteen trillion, one hundred billion, thirty million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 54583460131 109166920262 163750380393 218333840524 272917300655 327500760786 436667681048 545834601310 655001521572 818751901965 873335362096 1091669202620 1310003043144 1637503803930 2183338405240 2620006086288 3275007607860 4366676810480 6550015215720 13100030431440