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201044433100 = 2252710314091979
BaseRepresentation
bin1011101100111100101…
…1101001100011001100
3201012221010120101100211
42323033023221203030
511243214333324400
6232205235532204
720345032325320
oct2731713514314
9635833511324
10201044433100
1178298383255
1232b6945a064
1315c5c815924
149a32ab7980
155369ed0dba
hex2ecf2e98cc

201044433100 has 144 divisors (see below), whose sum is σ = 504042739200. Its totient is φ = 68177387520.

The previous prime is 201044433097. The next prime is 201044433151. The reversal of 201044433100 is 1334440102.

It is a super-2 number, since 2×2010444331002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101587911 + ... + 101589889.

It is an arithmetic number, because the mean of its divisors is an integer number (3500296800).

Almost surely, 2201044433100 is an apocalyptic number.

201044433100 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 201044433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252021369600).

201044433100 is an abundant number, since it is smaller than the sum of its proper divisors (302998306100).

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

201044433100 is a wasteful number, since it uses less digits than its factorization.

201044433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 201044433100 its reverse (1334440102), we get a palindrome (202378873202).

The spelling of 201044433100 in words is "two hundred one billion, forty-four million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 700 721 1030 1409 1442 1979 2060 2575 2818 2884 3605 3958 5150 5636 7045 7210 7916 9863 9895 10300 13853 14090 14420 18025 19726 19790 27706 28180 35225 36050 39452 39580 49315 49475 55412 69265 70450 72100 98630 98950 138530 140900 145127 197260 197900 203837 246575 277060 290254 346325 407674 493150 580508 692650 725635 815348 986300 1015889 1019185 1385300 1426859 1451270 2031778 2038370 2788411 2853718 2902540 3628175 4063556 4076740 5079445 5095925 5576822 5707436 7134295 7256350 10158890 10191850 11153644 13942055 14268590 14512700 19518877 20317780 20383700 25397225 27884110 28537180 35671475 39037754 50794450 55768220 69710275 71342950 78075508 97594385 101588900 139420550 142685900 195188770 278841100 287206333 390377540 487971925 574412666 975943850 1148825332 1436031665 1951887700 2010444331 2872063330 4020888662 5744126660 7180158325 8041777324 10052221655 14360316650 20104443310 28720633300 40208886620 50261108275 100522216550 201044433100