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141112020 = 223572691249
BaseRepresentation
bin10000110100100…
…11001011010100
3100211112020022010
420122103023110
5242111041040
622000304220
73332301210
oct1032231324
9324466263
10141112020
1172721605
123b312070
132330954a
1414a53940
15c5c5e80
hex86932d4

141112020 has 96 divisors (see below), whose sum is σ = 453600000. Its totient is φ = 32108544.

The previous prime is 141111991. The next prime is 141112033. The reversal of 141112020 is 20211141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 141111987 and 141112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112356 + ... + 113604.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2141112020 is an apocalyptic number.

141112020 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 141112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800000).

141112020 is an abundant number, since it is smaller than the sum of its proper divisors (312487980).

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

141112020 is a wasteful number, since it uses less digits than its factorization.

141112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 141112020 is about 11879.0580434646. The cubic root of 141112020 is about 520.6205855077.

Adding to 141112020 its reverse (20211141), we get a palindrome (161323161).

It can be divided in two parts, 1411 and 12020, that added together give a palindrome (13431).

The spelling of 141112020 in words is "one hundred forty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 269 420 538 807 1076 1249 1345 1614 1883 2498 2690 3228 3747 3766 4035 4996 5380 5649 6245 7494 7532 8070 8743 9415 11298 12490 14988 16140 17486 18735 18830 22596 24980 26229 28245 34972 37470 37660 43715 52458 56490 74940 87430 104916 112980 131145 174860 262290 335981 524580 671962 1007943 1343924 1679905 2015886 2351867 3359810 4031772 4703734 5039715 6719620 7055601 9407468 10079430 11759335 14111202 20158860 23518670 28222404 35278005 47037340 70556010 141112020