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201340133121420 = 22345124284032791
BaseRepresentation
bin101101110001111000100111…
…000111010001110110001100
3222101212221002001112022120000
4231301320213013101312030
5202342224043034341140
61552114214045124300
760260226123021126
oct5561704707216614
9871787061468500
10201340133121420
1159175964247687
121a6b9097259690
1388463a6ba8037
1437a0cb3310216
1518424bb4e4a30
hexb71e271d1d8c

201340133121420 has 60 divisors (see below), whose sum is σ = 631611454648944. Its totient is φ = 53690702165280.

The previous prime is 201340133121377. The next prime is 201340133121437. The reversal of 201340133121420 is 24121331043102.

201340133121420 is a `hidden beast` number, since 2 + 0 + 1 + 340 + 1 + 3 + 312 + 1 + 4 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2013401331214202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62142014776 + ... + 62142018015.

Almost surely, 2201340133121420 is an apocalyptic number.

201340133121420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201340133121420 is an abundant number, since it is smaller than the sum of its proper divisors (430271321527524).

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

201340133121420 is a wasteful number, since it uses less digits than its factorization.

201340133121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124284032812 (or 124284032801 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201340133121420 its reverse (24121331043102), we get a palindrome (225461464164522).

The spelling of 201340133121420 in words is "two hundred one trillion, three hundred forty billion, one hundred thirty-three million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 124284032791 248568065582 372852098373 497136131164 621420163955 745704196746 1118556295119 1242840327910 1491408393492 1864260491865 2237112590238 2485680655820 3355668885357 3728520983730 4474225180476 5592781475595 6711337770714 7457041967460 10067006656071 11185562951190 13422675541428 16778344426785 20134013312142 22371125902380 33556688853570 40268026624284 50335033280355 67113377707140 100670066560710 201340133121420