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101948743 = 1324314029
BaseRepresentation
bin1100001001110…
…01110101000111
321002211112101101
412010321311013
5202044324433
614041040531
72345356441
oct604716507
9232745341
10101948743
1152602666
122a186147
1318176800
14d77b491
158e3c07d
hex6139d47

101948743 has 12 divisors (see below), whose sum is σ = 112969560. Its totient is φ = 91911456.

The previous prime is 101948723. The next prime is 101948771. The reversal of 101948743 is 347849101.

It is a de Polignac number, because none of the positive numbers 2k-101948743 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101948723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253 + ... + 14281.

It is an arithmetic number, because the mean of its divisors is an integer number (9414130).

Almost surely, 2101948743 is an apocalyptic number.

101948743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101948743 is a deficient number, since it is larger than the sum of its proper divisors (11020817).

101948743 is a wasteful number, since it uses less digits than its factorization.

101948743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14098 (or 14085 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 101948743 is about 10096.9670198530. The cubic root of 101948743 is about 467.1545951620.

The spelling of 101948743 in words is "one hundred one million, nine hundred forty-eight thousand, seven hundred forty-three".

Divisors: 1 13 43 169 559 7267 14029 182377 603247 2370901 7842211 101948743