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12230203101032 = 237476778578009
BaseRepresentation
bin1011000111111001000011…
…1010010100111101101000
31121022012021212211021220102
42301332100322110331220
53100334423443213112
642002251105244532
72401413556046450
oct261762072247550
947265255737812
1012230203101032
11399588889a924
121456366333748
136a93c31a5777
14303d33096d60
15163207c3bbc2
hexb1f90e94f68

12230203101032 has 128 divisors (see below), whose sum is σ = 26839349222400. Its totient is φ = 5115800481792.

The previous prime is 12230203101029. The next prime is 12230203101089. The reversal of 12230203101032 is 23010130203221.

It is a junction number, because it is equal to n+sod(n) for n = 12230203100995 and 12230203101013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527053444 + ... + 1527061452.

It is an arithmetic number, because the mean of its divisors is an integer number (209682415800).

Almost surely, 212230203101032 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 12230203101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13419674611200).

12230203101032 is an abundant number, since it is smaller than the sum of its proper divisors (14609146121368).

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

12230203101032 is a wasteful number, since it uses less digits than its factorization.

12230203101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9603 (or 9599 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12230203101032 its reverse (23010130203221), we get a palindrome (35240333304253).

The spelling of 12230203101032 in words is "twelve trillion, two hundred thirty billion, two hundred three million, one hundred one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 677 857 1316 1354 1714 2632 2708 3428 4739 5416 5999 6856 8009 9478 11998 16018 18956 23996 31819 32036 37912 40279 47992 56063 63638 64072 80558 112126 127276 161116 222733 224252 254552 281953 322232 376423 445466 448504 563906 580189 752846 890932 1127812 1160378 1505692 1781864 2255624 2320756 2634961 3011384 4061323 4641512 5269922 5422093 6863713 8122646 10539844 10844186 13727426 16245292 21079688 21688372 27268883 27454852 32490584 37954651 43376744 48045991 54537766 54909704 75909302 96091982 109075532 151818604 190882181 192183964 218151064 254838371 303637208 322594511 381764362 384367928 509676742 645189022 763528724 1019353484 1290378044 1527057448 1783868597 2038706968 2258161577 2580756088 3567737194 4516323154 4646733701 7135474388 9032646308 9293467402 14270948776 18065292616 18586934804 32527135907 37173869608 65054271814 130108543628 218396483947 260217087256 436792967894 873585935788 1528775387629 1747171871576 3057550775258 6115101550516 12230203101032