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31012340200 = 23522814491229
BaseRepresentation
bin11100111000011110…
…101100000111101000
32222001022012010001121
4130320132230013220
51002003124341300
622125154025024
72145341354002
oct347036540750
988038163047
1031012340200
1112174726226
126015b78174
132c0303307a
141702a89372
15c1794681a
hex7387ac1e8

31012340200 has 96 divisors (see below), whose sum is σ = 72580455000. Its totient is φ = 12323225600.

The previous prime is 31012340171. The next prime is 31012340221. The reversal of 31012340200 is 204321013.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13861294756 + 17151045444 = 117734^2 + 130962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25233186 + ... + 25234414.

Almost surely, 231012340200 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 31012340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36290227500).

31012340200 is an abundant number, since it is smaller than the sum of its proper divisors (41568114800).

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

31012340200 is a wasteful number, since it uses less digits than its factorization.

31012340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31012340200 its reverse (204321013), we get a palindrome (31216661213).

The spelling of 31012340200 in words is "thirty-one billion, twelve million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 281 449 562 898 1124 1229 1405 1796 2245 2248 2458 2810 3592 4490 4916 5620 6145 7025 8980 9832 11225 11240 12290 14050 17960 22450 24580 28100 30725 44900 49160 56200 61450 89800 122900 126169 245800 252338 345349 504676 551821 630845 690698 1009352 1103642 1261690 1381396 1726745 2207284 2523380 2759105 2762792 3154225 3453490 4414568 5046760 5518210 6308450 6906980 8633725 11036420 12616900 13795525 13813960 17267450 22072840 25233800 27591050 34534900 55182100 69069800 110364200 155061701 310123402 620246804 775308505 1240493608 1550617010 3101234020 3876542525 6202468040 7753085050 15506170100 31012340200