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31012421231300 = 2252735701745181
BaseRepresentation
bin1110000110100101001000…
…10110011110001011000100
311001210202110221212010000212
413003102210112132023010
513031101414313400200
6145542524251454552
76350400465021455
oct703224426361304
9131722427763025
1031012421231300
119977326324963
12358a4b9157458
13143c5c6c058a2
1479301b34112c
1538ba86c6a035
hex1c34a459e2c4

31012421231300 has 72 divisors (see below), whose sum is σ = 68230887834312. Its totient is φ = 12232874880000.

The previous prime is 31012421231299. The next prime is 31012421231303. The reversal of 31012421231300 is 313212421013.

It can be written as a sum of positive squares in 12 ways, for example, as 7664525806144 + 23347895425156 = 2768488^2 + 4831966^2 .

It is not an unprimeable number, because it can be changed into a prime (31012421231303) 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, 41244710 + ... + 41989890.

It is an arithmetic number, because the mean of its divisors is an integer number (947651219921).

Almost surely, 231012421231300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31012421231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34115443917156).

31012421231300 is an abundant number, since it is smaller than the sum of its proper divisors (37218466603012).

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

31012421231300 is a wasteful number, since it uses less digits than its factorization.

31012421231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750969 (or 750962 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 31012421231300 its reverse (313212421013), we get a palindrome (31325633652313).

The spelling of 31012421231300 in words is "thirty-one trillion, twelve billion, four hundred twenty-one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 5701 7300 11402 22804 28505 57010 114020 142525 285050 416173 570100 745181 832346 1490362 1664692 2080865 2980724 3725905 4161730 7451810 8323460 10404325 14903620 18629525 20808650 37259050 41617300 54398213 74518100 108796426 217592852 271991065 543982130 1087964260 1359955325 2719910650 4248276881 5439821300 8496553762 16993107524 21241384405 42482768810 84965537620 106206922025 212413844050 310124212313 424827688100 620248424626 1240496849252 1550621061565 3101242123130 6202484246260 7753105307825 15506210615650 31012421231300