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706121084130 = 235721152818269
BaseRepresentation
bin10100100011010000001…
…10001010110011100010
32111111121210101200121120
422101220012022303202
543032113444143010
61300215413233110
7102005224116600
oct12215006126342
92444553350546
10706121084130
11252511a41810
12b4a26632796
135178264c207
1426268232870
151357b65be70
hexa46818ace2

706121084130 has 192 divisors, whose sum is σ = 2151258030720. Its totient is φ = 146680934400.

The previous prime is 706121084117. The next prime is 706121084173. The reversal of 706121084130 is 31480121607.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 706121084091 and 706121084100.

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, 85389636 + ... + 85397904.

It is an arithmetic number, because the mean of its divisors is an integer number (11204468910).

Almost surely, 2706121084130 is an apocalyptic number.

706121084130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 706121084130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075629015360).

706121084130 is an abundant number, since it is smaller than the sum of its proper divisors (1445136946590).

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

706121084130 is a wasteful number, since it uses less digits than its factorization.

706121084130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13585 (or 13578 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 706121084130 in words is "seven hundred six billion, one hundred twenty-one million, eighty-four thousand, one hundred thirty".