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10101223132 = 227111317148399
BaseRepresentation
bin10010110100001010…
…00110111011011100
3222001222020022011021
421122011012323130
5131141403120012
64350200133524
7505213660060
oct113205067334
928058208137
1010101223132
1143139714a0
121b5aa672a4
13c4c96b910
146bb791aa0
153e1c05007
hex25a146edc

10101223132 has 96 divisors (see below), whose sum is σ = 25130649600. Its totient is φ = 3419089920.

The previous prime is 10101223123. The next prime is 10101223151. The reversal of 10101223132 is 23132210101.

10101223132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6132 + ... + 142267.

It is an arithmetic number, because the mean of its divisors is an integer number (261777600).

Almost surely, 210101223132 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 10101223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565324800).

10101223132 is an abundant number, since it is smaller than the sum of its proper divisors (15029426468).

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

10101223132 is a wasteful number, since it uses less digits than its factorization.

10101223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148451 (or 148449 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10101223132 its reverse (23132210101), we get a palindrome (33233433233).

The spelling of 10101223132 in words is "ten billion, one hundred one million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2431 2618 3094 4004 4862 5236 6188 9724 17017 34034 68068 148399 296798 593596 1038793 1632389 1929187 2077586 2522783 3264778 3858374 4155172 5045566 6529556 7716748 10091132 11426723 13504309 17659481 21221057 22853446 27008618 27750613 32796179 35318962 42442114 45706892 54017236 55501226 65592358 70637924 84884228 111002452 131184716 148547399 194254291 229573253 297094798 360757969 388508582 459146506 594189596 721515938 777017164 918293012 1443031876 2525305783 5050611566 10101223132