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231213140212100 = 2252277401122916937
BaseRepresentation
bin110100100100100110000001…
…000101101111100110000100
31010022122202112021122212100012
4310210212001011233212010
5220301144002343241400
62135425503353405352
766462412104460244
oct6444460105574604
91108582467585305
10231213140212100
1167742a3aa32312
1221b227a4a09858
139c023c843a557
144114ac0721b24
151bae5b744ed35
hexd2498116f984

231213140212100 has 144 divisors (see below), whose sum is σ = 505240112094480. Its totient is φ = 91841353728000.

The previous prime is 231213140212081. The next prime is 231213140212123. The reversal of 231213140212100 is 1212041312132.

It can be written as a sum of positive squares in 24 ways, for example, as 54197512714816 + 177015627497284 = 7361896^2 + 13304722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13651354832 + ... + 13651371768.

It is an arithmetic number, because the mean of its divisors is an integer number (3508611889545).

Almost surely, 2231213140212100 is an apocalyptic number.

231213140212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231213140212100 is an abundant number, since it is smaller than the sum of its proper divisors (274026971882380).

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

231213140212100 is a wasteful number, since it uses less digits than its factorization.

231213140212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18858 (or 18851 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 231213140212100 its reverse (1212041312132), we get a palindrome (232425181524232).

The spelling of 231213140212100 in words is "two hundred thirty-one trillion, two hundred thirteen billion, one hundred forty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 401 554 802 1108 1229 1385 1604 2005 2458 2770 4010 4916 5540 6145 6925 8020 10025 12290 13850 16937 20050 24580 27700 30725 33874 40100 61450 67748 84685 111077 122900 169370 222154 338740 340433 423425 444308 492829 555385 680866 846850 985658 1110770 1361732 1693700 1702165 1971316 2221540 2464145 2776925 3404330 4691549 4928290 5553850 6791737 6808660 8510825 9383098 9856580 11107700 12320725 13583474 17021650 18766196 20815573 23457745 24641450 27166948 33958685 34043300 41631146 46915490 49282900 67917370 83262292 93830980 104077865 117288725 135834740 136513633 169793425 208155730 234577450 273027266 339586850 416311460 469154900 520389325 546054532 679173700 682568165 1040778650 1365136330 1881311149 2081557300 2730272660 3412840825 3762622298 5765913721 6825681650 7525244596 8347044773 9406555745 11531827442 13651363300 16694089546 18813111490 23063654884 28829568605 33388179092 37626222980 41735223865 47032778725 57659137210 83470447730 94065557450 115318274420 144147843025 166940895460 188131114900 208676119325 288295686050 417352238650 576591372100 834704477300 2312131402121 4624262804242 9248525608484 11560657010605 23121314021210 46242628042420 57803285053025 115606570106050 231213140212100