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141122000 = 2453411721
BaseRepresentation
bin10000110100101…
…01100111010000
3100211112201222202
420122111213100
5242111401000
622000422332
73332342255
oct1032254720
9324481882
10141122000
1172729058
123b3179a8
1323310c56
1414a5742c
15c5c8dd5
hex86959d0

141122000 has 80 divisors (see below), whose sum is σ = 349758864. Its totient is φ = 55040000.

The previous prime is 141121993. The next prime is 141122011. The reversal of 141122000 is 221141.

It can be written as a sum of positive squares in 8 ways, for example, as 67436944 + 73685056 = 8212^2 + 8584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81140 + ... + 82860.

Almost surely, 2141122000 is an apocalyptic number.

141122000 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 141122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174879432).

141122000 is an abundant number, since it is smaller than the sum of its proper divisors (208636864).

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

141122000 is a wasteful number, since it uses less digits than its factorization.

141122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 141122000 is about 11879.4781030145. The cubic root of 141122000 is about 520.6328586671.

Adding to 141122000 its reverse (221141), we get a palindrome (141343141).

The spelling of 141122000 in words is "one hundred forty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 1721 2000 2050 3280 3442 4100 5125 6884 8200 8605 10250 13768 16400 17210 20500 27536 34420 41000 43025 68840 70561 82000 86050 137680 141122 172100 215125 282244 344200 352805 430250 564488 688400 705610 860500 1128976 1411220 1721000 1764025 2822440 3442000 3528050 5644880 7056100 8820125 14112200 17640250 28224400 35280500 70561000 141122000