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10211243332014 = 235311543439253
BaseRepresentation
bin1001010010010111110110…
…0010000001000110101110
31100011012000002211101100000
42110211331202001012232
52314300111243111024
633414551434445130
72102511062135034
oct224457542010656
940135002741300
1010211243332014
113287622721a4a
12118b0108937a6
13590bba91b67a
14274326542554
1512a9404becc9
hex9497d8811ae

10211243332014 has 96 divisors (see below), whose sum is σ = 23699306502144. Its totient is φ = 3291807198240.

The previous prime is 10211243331959. The next prime is 10211243332033. The reversal of 10211243332014 is 41023334211201.

10211243332014 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 124 + 333 + 201 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 23027212 + ... + 23466464.

It is an arithmetic number, because the mean of its divisors is an integer number (246867776064).

Almost surely, 210211243332014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211243332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11849653251072).

10211243332014 is an abundant number, since it is smaller than the sum of its proper divisors (13488063170130).

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

10211243332014 is a wasteful number, since it uses less digits than its factorization.

10211243332014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440844 (or 440832 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10211243332014 its reverse (41023334211201), we get a palindrome (51234577543215).

The spelling of 10211243332014 in words is "ten trillion, two hundred eleven billion, two hundred forty-three million, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1543 1674 2511 3086 4629 5022 7533 9258 13887 15066 27774 41661 47833 83322 95666 124983 143499 249966 286998 374949 430497 439253 749898 860994 878506 1291491 1317759 2582982 2635518 3874473 3953277 7748946 7906554 11623419 11859831 13616843 23246838 23719662 27233686 35579493 40850529 71158986 81701058 106738479 122551587 213476958 245103174 367654761 677767379 735309522 1102964283 1355534758 2033302137 2205928566 3308892849 4066604274 6099906411 6617785698 12199812822 18299719233 21010788749 36599438466 42021577498 54899157699 63032366247 109798315398 126064732494 164697473097 189097098741 329394946194 378194197482 567291296223 1134582592446 1701873888669 3403747777338 5105621666007 10211243332014