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13822103430 = 2325153578927
BaseRepresentation
bin11001101111101110…
…01000111110000110
31022200021201121100200
430313313020332012
5211301424302210
610203315351330
7666344640432
oct146767107606
938607647320
1013822103430
115953242983
122818bb2546
1313c37c3535
14951a099c2
1555d6e30c0
hex337dc8f86

13822103430 has 24 divisors (see below), whose sum is σ = 35937469152. Its totient is φ = 3685894224.

The previous prime is 13822103411. The next prime is 13822103443. The reversal of 13822103430 is 3430122831.

13822103430 is a `hidden beast` number, since 1 + 3 + 8 + 221 + 0 + 3 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13822103394 and 13822103403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76789374 + ... + 76789553.

It is an arithmetic number, because the mean of its divisors is an integer number (1497394548).

Almost surely, 213822103430 is an apocalyptic number.

13822103430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13822103430 is an abundant number, since it is smaller than the sum of its proper divisors (22115365722).

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

13822103430 is a wasteful number, since it uses less digits than its factorization.

13822103430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153578940 (or 153578937 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13822103430 in words is "thirteen billion, eight hundred twenty-two million, one hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 153578927 307157854 460736781 767894635 921473562 1382210343 1535789270 2303683905 2764420686 4607367810 6911051715 13822103430