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143012032100 = 22527317923293
BaseRepresentation
bin1000010100110000101…
…1100110111001100100
3111200010202100222000122
42011030023212321210
54320342040011400
6145410540101112
713221654134000
oct2051413467144
9450122328018
10143012032100
1155718622473
1223872534798
13106418ca002
146cc9687700
153ac0390685
hex214c2e6e64

143012032100 has 144 divisors (see below), whose sum is σ = 363945456000. Its totient is φ = 48756677760.

The previous prime is 143012032099. The next prime is 143012032127. The reversal of 143012032100 is 1230210341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6128054 + ... + 6151346.

It is an arithmetic number, because the mean of its divisors is an integer number (2527399000).

Almost surely, 2143012032100 is an apocalyptic number.

143012032100 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 143012032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181972728000).

143012032100 is an abundant number, since it is smaller than the sum of its proper divisors (220933423900).

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

143012032100 is a wasteful number, since it uses less digits than its factorization.

143012032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23507 (or 23486 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 143012032100 its reverse (1230210341), we get a palindrome (144242242441).

The spelling of 143012032100 in words is "one hundred forty-three billion, twelve million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 179 196 245 343 350 358 490 686 700 716 895 980 1225 1253 1372 1715 1790 2450 2506 3430 3580 4475 4900 5012 6265 6860 8575 8771 8950 12530 17150 17542 17900 23293 25060 31325 34300 35084 43855 46586 61397 62650 87710 93172 116465 122794 125300 163051 175420 219275 232930 245588 306985 326102 438550 465860 582325 613970 652204 815255 877100 1141357 1164650 1227940 1534925 1630510 2282714 2329300 3069850 3261020 4076275 4169447 4565428 5706785 6139700 7989499 8152550 8338894 11413570 15978998 16305100 16677788 20847235 22827140 28533925 29186129 31957996 39947495 41694470 57067850 58372258 79894990 83388940 104236175 114135700 116744516 145930645 159789980 199737475 204302903 208472350 291861290 399474950 408605806 416944700 583722580 729653225 798949900 817211612 1021514515 1430120321 1459306450 2043029030 2860240642 2918612900 4086058060 5107572575 5720481284 7150601605 10215145150 14301203210 20430290300 28602406420 35753008025 71506016050 143012032100