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101443420 = 225131759389
BaseRepresentation
bin1100000101111…
…10011101011100
321001212212012201
412002332131130
5201432142140
614022141244
72341153261
oct602763534
9231785181
10101443420
1152297a41
1229b81824
131802a7c0
14d689268
158d8c49a
hex60be75c

101443420 has 96 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 34566144.

The previous prime is 101443411. The next prime is 101443423. The reversal of 101443420 is 24344101.

It is a super-2 number, since 2×1014434202 = 20581534922592800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101443423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260586 + ... + 260974.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2101443420 is an apocalyptic number.

101443420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

101443420 is an abundant number, since it is smaller than the sum of its proper divisors (146222180).

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

101443420 is a wasteful number, since it uses less digits than its factorization.

101443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 101443420 is about 10071.9124301197. The cubic root of 101443420 is about 466.3814776785.

Adding to 101443420 its reverse (24344101), we get a palindrome (125787521).

The spelling of 101443420 in words is "one hundred one million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 59 65 68 85 118 130 170 221 236 260 295 340 389 442 590 767 778 884 1003 1105 1180 1534 1556 1945 2006 2210 3068 3835 3890 4012 4420 5015 5057 6613 7670 7780 10030 10114 13039 13226 15340 20060 20228 22951 25285 26078 26452 33065 45902 50570 52156 65195 66130 85969 91804 101140 114755 130390 132260 171938 229510 260780 298363 343876 390167 429845 459020 596726 780334 859690 1193452 1491815 1560668 1719380 1950835 2983630 3901670 5072171 5967260 7803340 10144342 20288684 25360855 50721710 101443420