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201023122111300 = 225231877433917041
BaseRepresentation
bin101101101101010001010111…
…110010001111101101000100
3222100202121211000101102212001
4231231101113302033231010
5202322030323230030200
61551312425235035044
760225304235626666
oct5555212762175504
9870677730342761
10201023122111300
1159063477851735
121a667764a3ba84
1388225259cc788
14378d7dcc64536
1518391156d676a
hexb6d457c8fb44

201023122111300 has 144 divisors (see below), whose sum is σ = 450935595496960. Its totient is φ = 77704199424000.

The previous prime is 201023122111277. The next prime is 201023122111349. The reversal of 201023122111300 is 3111221320102.

201023122111300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 11796430780 + ... + 11796447820.

Almost surely, 2201023122111300 is an apocalyptic number.

201023122111300 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 201023122111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225467797748480).

201023122111300 is an abundant number, since it is smaller than the sum of its proper divisors (249912473385660).

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

201023122111300 is a wasteful number, since it uses less digits than its factorization.

201023122111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22302 (or 22295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 201023122111300 its reverse (3111221320102), we get a palindrome (204134343431402).

The spelling of 201023122111300 in words is "two hundred one trillion, twenty-three billion, one hundred twenty-two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 877 1550 1754 3100 3508 4339 4385 8678 8770 17041 17356 17540 21695 21925 27187 34082 43390 43850 54374 68164 85205 86780 87700 108475 108748 134509 135935 170410 216950 269018 271870 340820 426025 433900 528271 538036 543740 672545 679675 852050 1056542 1345090 1359350 1704100 2113084 2641355 2690180 2718700 3362725 3805303 5282710 6725450 7610606 10565420 13206775 13450900 14944957 15221212 19026515 26413550 29889914 38053030 52827100 59779828 73940899 74724785 76106060 95132575 117964393 147881798 149449570 190265150 235928786 295763596 298899140 369704495 373623925 380530300 463293667 471857572 589821965 739408990 747247850 926587334 1179643930 1478817980 1494495700 1848522475 1853174668 2292167869 2316468335 2359287860 2949109825 3697044950 4584335738 4632936670 5898219650 7394089900 9168671476 9265873340 11460839345 11582341675 11796439300 22921678690 23164683350 45843357380 46329366700 57304196725 64846168423 114608393450 129692336846 229216786900 259384673692 324230842115 648461684230 1296923368460 1621154210575 2010231221113 3242308421150 4020462442226 6484616842300 8040924884452 10051156105565 20102312211130 40204624422260 50255780527825 100511561055650 201023122111300