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31354203401300 = 225213197122429533
BaseRepresentation
bin1110010000100001110000…
…01001111110110001010100
311010000102200100022021220202
413020100320021332301110
513102201402032320200
6150403531105520032
76414160250361623
oct710207011766124
9133012610267822
1031354203401300
119a9927446596a
1236247a3343018
1314658c50a32c0
147a57a16056ba
153958dc5e61d5
hex1c843827ec54

31354203401300 has 72 divisors (see below), whose sum is σ = 73644303009816. Its totient is φ = 11518170370560.

The previous prime is 31354203401263. The next prime is 31354203401309. The reversal of 31354203401300 is 310430245313.

It can be written as a sum of positive squares in 12 ways, for example, as 4842455511364 + 26511747889936 = 2200558^2 + 5148956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31354203401309) 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, 60958667 + ... + 61470866.

It is an arithmetic number, because the mean of its divisors is an integer number (1022837541803).

Almost surely, 231354203401300 is an apocalyptic number.

It is an amenable number.

31354203401300 is an abundant number, since it is smaller than the sum of its proper divisors (42290099608516).

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

31354203401300 is a wasteful number, since it uses less digits than its factorization.

31354203401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122429757 (or 122429750 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 31354203401300 its reverse (310430245313), we get a palindrome (31664633646613).

The spelling of 31354203401300 in words is "thirty-one trillion, three hundred fifty-four billion, two hundred three million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 197 260 325 394 650 788 985 1300 1970 2561 3940 4925 5122 9850 10244 12805 19700 25610 51220 64025 128050 256100 122429533 244859066 489718132 612147665 1224295330 1591583929 2448590660 3060738325 3183167858 6121476650 6366335716 7957919645 12242953300 15915839290 24118618001 31831678580 39789598225 48237236002 79579196450 96474472004 120593090005 159158392900 241186180010 313542034013 482372360020 602965450025 627084068026 1205930900050 1254168136052 1567710170065 2411861800100 3135420340130 6270840680260 7838550850325 15677101700650 31354203401300