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200141003100 = 223522937621749
BaseRepresentation
bin1011101001100101010…
…1010101100101011100
3201010121011121101101110
42322121111111211130
511234342044044400
6231535444142020
720313452312523
oct2723125254534
9633534541343
10200141003100
1177974418995
1232956997910
1315b475bac6c
149988b074ba
155315a27e50
hex2e9955595c

200141003100 has 144 divisors (see below), whose sum is σ = 615234060000. Its totient is φ = 50137758720.

The previous prime is 200141003099. The next prime is 200141003107. The reversal of 200141003100 is 1300141002.

It is a happy number.

It is a super-2 number, since 2×2001410031002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200141003107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11026 + ... + 632774.

It is an arithmetic number, because the mean of its divisors is an integer number (4272458750).

Almost surely, 2200141003100 is an apocalyptic number.

200141003100 is a gapful number since it is divisible by the number (20) 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 200141003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307617030000).

200141003100 is an abundant number, since it is smaller than the sum of its proper divisors (415093056900).

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

200141003100 is a wasteful number, since it uses less digits than its factorization.

200141003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621832 (or 621825 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 200141003100 its reverse (1300141002), we get a palindrome (201441144102).

The spelling of 200141003100 in words is "two hundred billion, one hundred forty-one million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 37 50 58 60 74 75 87 100 111 116 145 148 150 174 185 222 290 300 348 370 435 444 555 580 725 740 870 925 1073 1110 1450 1740 1850 2146 2175 2220 2775 2900 3219 3700 4292 4350 5365 5550 6438 8700 10730 11100 12876 16095 21460 26825 32190 53650 64380 80475 107300 160950 321900 621749 1243498 1865247 2486996 3108745 3730494 6217490 7460988 9326235 12434980 15543725 18030721 18652470 23004713 31087450 36061442 37304940 46009426 46631175 54092163 62174900 69014139 72122884 90153605 92018852 93262350 108184326 115023565 138028278 180307210 186524700 216368652 230047130 270460815 276056556 345070695 360614420 450768025 460094260 540921630 575117825 667136677 690141390 901536050 1081843260 1150235650 1334273354 1352304075 1380282780 1725353475 1803072100 2001410031 2300471300 2668546708 2704608150 3335683385 3450706950 4002820062 5409216300 6671366770 6901413900 8005640124 10007050155 13342733540 16678416925 20014100310 33356833850 40028200620 50035250775 66713667700 100070501550 200141003100