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13407102525 = 35219113139599
BaseRepresentation
bin11000111110010000…
…00010011000111101
31021121100211101010210
430133020002120331
5204424204240100
610054212423033
7653145330315
oct143710023075
937540741123
1013407102525
11575aa61623
122722017a79
13135882c07b
1491285c445
15537069c50
hex31f20263d

13407102525 has 96 divisors (see below), whose sum is σ = 23748480000. Its totient is φ = 6654735360.

The previous prime is 13407102503. The next prime is 13407102589. The reversal of 13407102525 is 52520170431.

It is not a de Polignac number, because 13407102525 - 211 = 13407100477 is a prime.

It is a super-2 number, since 2×134071025252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13407102492 and 13407102501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22382176 + ... + 22382774.

It is an arithmetic number, because the mean of its divisors is an integer number (247380000).

Almost surely, 213407102525 is an apocalyptic number.

13407102525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13407102525 is a deficient number, since it is larger than the sum of its proper divisors (10341377475).

13407102525 is a wasteful number, since it uses less digits than its factorization.

13407102525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

Adding to 13407102525 its reverse (52520170431), we get a palindrome (65927272956).

The spelling of 13407102525 in words is "thirteen billion, four hundred seven million, one hundred two thousand, five hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 113 139 285 339 417 475 565 599 695 1425 1695 1797 2085 2147 2641 2825 2995 3475 6441 7923 8475 8985 10425 10735 11381 13205 14975 15707 32205 34143 39615 44925 47121 53675 56905 66025 67687 78535 83261 161025 170715 198075 203061 235605 249783 284525 298433 338435 392675 416305 853575 895299 1015305 1178025 1248915 1286053 1492165 1581959 1692175 2081525 3858159 4476495 4745877 5076525 6244575 6430265 7460825 7909795 9408493 19290795 22382475 23729385 28225479 32151325 39548975 47042465 96453975 118646925 141127395 178761367 235212325 536284101 705636975 893806835 2681420505 4469034175 13407102525