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21031013233032 = 23311676257190027
BaseRepresentation
bin1001100100000101010100…
…00100101011000110001000
32202110112201110202101221020
410302002222010223012020
510224033003341424112
6112421303013512440
74300304053633635
oct462025204530610
982415643671836
1021031013233032
116779225768a30
122437b4b942720
13b972a6835b2a
14529c9950318c
152670e916d48c
hex1320aa12b188

21031013233032 has 128 divisors (see below), whose sum is σ = 58222998167040. Its totient is φ = 6276878023680.

The previous prime is 21031013233003. The next prime is 21031013233051. The reversal of 21031013233032 is 23033231013012.

21031013233032 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21031013232993 and 21031013233011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110578803 + ... + 110768829.

It is an arithmetic number, because the mean of its divisors is an integer number (454867173180).

Almost surely, 221031013233032 is an apocalyptic number.

21031013233032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21031013233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29111499083520).

21031013233032 is an abundant number, since it is smaller than the sum of its proper divisors (37191984934008).

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

21031013233032 is a wasteful number, since it uses less digits than its factorization.

21031013233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196371 (or 196367 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21031013233032 its reverse (23033231013012), we get a palindrome (44064244246044).

The spelling of 21031013233032 in words is "twenty-one trillion, thirty-one billion, thirteen million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 6257 8844 12514 17688 18771 25028 37542 50056 68827 75084 137654 150168 190027 206481 275308 380054 412962 419219 550616 570081 760108 825924 838438 1140162 1257657 1520216 1651848 1676876 2090297 2280324 2515314 3353752 4180594 4560648 4611409 5030628 6270891 8361188 9222818 10061256 12541782 12731809 13834227 16722376 18445636 25083564 25463618 27668454 36891272 38195427 50167128 50927236 55336908 76390854 101854472 110673816 140049899 152781708 280099798 305563416 420149697 560199596 840299394 1120399192 1188998939 1680598788 2377997878 3361197576 3566996817 4755995756 7133993634 9511991512 13078988329 14267987268 26157976658 28535974536 39236964987 52315953316 78473929974 79662928913 104631906632 156947859948 159325857826 238988786739 313895719896 318651715652 477977573478 637303431304 876292218043 955955146956 1752584436086 1911910293912 2628876654129 3505168872172 5257753308258 7010337744344 10515506616516 21031013233032