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141020000 = 255411641
BaseRepresentation
bin10000110011111…
…00101101100000
3100211100120001222
420121330231200
5242100120000
621554314212
73331436012
oct1031745540
9324316058
10141020000
1172669460
123b288968
13232a66b4
1414a2c1b2
15c5a8a85
hex867cb60

141020000 has 120 divisors (see below), whose sum is σ = 379059912. Its totient is φ = 51200000.

The previous prime is 141019997. The next prime is 141020029. The reversal of 141020000 is 20141.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 141020000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219680 + ... + 220320.

Almost surely, 2141020000 is an apocalyptic number.

141020000 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 141020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189529956).

141020000 is an abundant number, since it is smaller than the sum of its proper divisors (238039912).

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

141020000 is an equidigital number, since it uses as much as digits as its factorization.

141020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 141020000 is about 11875.1842090976. The cubic root of 141020000 is about 520.5073942912.

Adding to 141020000 its reverse (20141), we get a palindrome (141040141).

The spelling of 141020000 in words is "one hundred forty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 641 800 880 1000 1100 1250 1282 1375 1760 2000 2200 2500 2564 2750 3205 4000 4400 5000 5128 5500 6410 6875 7051 8800 10000 10256 11000 12820 13750 14102 16025 20000 20512 22000 25640 27500 28204 32050 35255 44000 51280 55000 56408 64100 70510 80125 102560 110000 112816 128200 141020 160250 176275 220000 225632 256400 282040 320500 352550 400625 512800 564080 641000 705100 801250 881375 1128160 1282000 1410200 1602500 1762750 2564000 2820400 3205000 3525500 4406875 5640800 6410000 7051000 8813750 12820000 14102000 17627500 28204000 35255000 70510000 141020000