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10212002231312 = 2471943127987257
BaseRepresentation
bin1001010010011010101011…
…0000111111010000010000
31100011020221222211110110102
42110212222300333100100
52314303140032400222
633415155024351532
72102535635520320
oct224465260772020
940136858743412
1010212002231312
113287982040252
12118b1a2a755a8
13590cabc109cb
1427439924d280
1512a986e28d92
hex949aac3f410

10212002231312 has 160 divisors (see below), whose sum is σ = 24375277977600. Its totient is φ = 4046589840384.

The previous prime is 10212002231311. The next prime is 10212002231341. The reversal of 10212002231312 is 21313220021201.

It is not an unprimeable number, because it can be changed into a prime (10212002231311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116989988 + ... + 117077244.

It is an arithmetic number, because the mean of its divisors is an integer number (152345487360).

Almost surely, 210212002231312 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 10212002231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187638988800).

10212002231312 is an abundant number, since it is smaller than the sum of its proper divisors (14163275746288).

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

10212002231312 is a wasteful number, since it uses less digits than its factorization.

10212002231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88613 (or 88607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10212002231312 its reverse (21313220021201), we get a palindrome (31525222252513).

The spelling of 10212002231312 in words is "ten trillion, two hundred twelve billion, two million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 43 56 76 86 112 133 152 172 266 301 304 344 532 602 688 817 1064 1204 1279 1634 2128 2408 2558 3268 4816 5116 5719 6536 8953 10232 11438 13072 17906 20464 22876 24301 35812 45752 48602 54997 71624 87257 91504 97204 109994 143248 170107 174514 194408 219988 340214 349028 384979 388816 439976 610799 680428 698056 769958 879952 1044943 1221598 1360856 1396112 1539916 1657883 2089886 2443196 2721712 3079832 3315766 3752051 4179772 4886392 6159664 6631532 7314601 7504102 8359544 9772784 11605181 13263064 14629202 15008204 16719088 23210362 26264357 26526128 29258404 30016408 46420724 52528714 58516808 60032816 71288969 92841448 105057428 111601703 117033616 142577938 185682896 210114856 223203406 285155876 420229712 446406812 499022783 570311752 781211921 892813624 998045566 1140623504 1562423842 1785627248 1996091132 2120432357 3124847684 3992182264 4240864714 4798873229 6249695368 7984364528 8481729428 9597746458 12499390736 14843026499 16963458856 19195492916 29686052998 33592112603 33926917712 38390985832 59372105996 67184225206 76781971664 91178591351 118744211992 134368450412 182357182702 237488423984 268736900824 364714365404 537473801648 638250139457 729428730808 1276500278914 1458857461616 2553000557828 5106001115656 10212002231312