Search a number
-
+
201312220020 = 223512917259751
BaseRepresentation
bin1011101101111100100…
…1001011001101110100
3201020121210110100221220
42323133021023031310
511244241412020040
6232252003310340
720354463431232
oct2733711131564
9636553410856
10201312220020
117841555555a
123302307b3b0
1315ca3145322
149a5a4a3952
15538377a2d0
hex2edf24b374

201312220020 has 48 divisors (see below), whose sum is σ = 563720024448. Its totient is φ = 53678896000.

The previous prime is 201312220003. The next prime is 201312220033. The reversal of 201312220020 is 20022213102.

It is a happy number.

201312220020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645145 + ... + 904895.

It is an arithmetic number, because the mean of its divisors is an integer number (11744167176).

Almost surely, 2201312220020 is an apocalyptic number.

201312220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201312220020 is an abundant number, since it is smaller than the sum of its proper divisors (362407804428).

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

201312220020 is a wasteful number, since it uses less digits than its factorization.

201312220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272680 (or 272678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201312220020 its reverse (20022213102), we get a palindrome (221334433122).

The spelling of 201312220020 in words is "two hundred one billion, three hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 12917 25834 38751 51668 64585 77502 129170 155004 193755 258340 259751 387510 519502 775020 779253 1039004 1298755 1558506 2597510 3117012 3896265 5195020 7792530 15585060 3355203667 6710407334 10065611001 13420814668 16776018335 20131222002 33552036670 40262444004 50328055005 67104073340 100656110010 201312220020