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5310541011400 = 2352277136770123
BaseRepresentation
bin100110101000111010011…
…1010010001100111001000
3200210200102201211000101221
41031101310322101213020
51144001441444331100
615143343500051424
71055450104543252
oct115216472214710
920720381730357
105310541011400
111768207a56729
12719275533b74
132c6a219c4411
1414506283acd2
159321550801a
hex4d474e919c8

5310541011400 has 96 divisors (see below), whose sum is σ = 12400823528640. Its totient is φ = 2114969276160.

The previous prime is 5310541011397. The next prime is 5310541011407. The reversal of 5310541011400 is 41101450135.

It is a super-2 number, since 2×53105410114002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5310541011407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75696739 + ... + 75766861.

It is an arithmetic number, because the mean of its divisors is an integer number (129175245090).

Almost surely, 25310541011400 is an apocalyptic number.

5310541011400 is a gapful number since it is divisible by the number (50) 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 5310541011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200411764320).

5310541011400 is an abundant number, since it is smaller than the sum of its proper divisors (7090282517240).

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

5310541011400 is a wasteful number, since it uses less digits than its factorization.

5310541011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71783 (or 71774 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 5310541011400 its reverse (41101450135), we get a palindrome (5351642461535).

The spelling of 5310541011400 in words is "five trillion, three hundred ten billion, five hundred forty-one million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 277 554 1108 1367 1385 2216 2734 2770 5468 5540 6835 6925 10936 11080 13670 13850 27340 27700 34175 54680 55400 68350 70123 136700 140246 273400 280492 350615 378659 560984 701230 757318 1402460 1514636 1753075 1893295 2804920 3029272 3506150 3786590 7012300 7573180 9466475 14024600 15146360 18932950 19424071 37865900 38848142 75731800 77696284 95858141 97120355 155392568 191716282 194240710 383432564 388481420 479290705 485601775 766865128 776962840 958581410 971203550 1917162820 1942407100 2396453525 3834325640 3884814200 4792907050 9585814100 19171628200 26552705057 53105410114 106210820228 132763525285 212421640456 265527050570 531054101140 663817626425 1062108202280 1327635252850 2655270505700 5310541011400