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20331222132232 = 23112101769270421
BaseRepresentation
bin1001001111101101110110…
…10001011110011000001000
32122222122102211100012000201
410213312323101132120020
510131101320331212412
6111124011241541544
74165611431500654
oct447667321363010
978878384305021
1020331222132232
116529471950400
1223443b11a48b4
13b462c274a9ab
14504071c59a64
15253cdd5cbe57
hex127dbb45e608

20331222132232 has 96 divisors (see below), whose sum is σ = 42371693040600. Its totient is φ = 9138032640000.

The previous prime is 20331222132211. The next prime is 20331222132289. The reversal of 20331222132232 is 23223122213302.

It can be written as a sum of positive squares in 4 ways, for example, as 20012613814116 + 318608318116 = 4473546^2 + 564454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20331222132232.

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 23 ways as a sum of consecutive naturals, for example, 75048382 + ... + 75318802.

Almost surely, 220331222132232 is an apocalyptic number.

20331222132232 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 20331222132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21185846520300).

20331222132232 is an abundant number, since it is smaller than the sum of its proper divisors (22040470908368).

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

20331222132232 is a wasteful number, since it uses less digits than its factorization.

20331222132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271319 (or 271304 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 20331222132232 its reverse (23223122213302), we get a palindrome (43554344345534).

The spelling of 20331222132232 in words is "twenty trillion, three hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 769 808 968 1111 1538 2222 3076 4444 6152 8459 8888 12221 16918 24442 33836 48884 67672 77669 93049 97768 155338 186098 270421 310676 372196 540842 621352 744392 854359 1081684 1708718 2163368 2974631 3417436 5949262 6834872 9397949 11898524 18795898 23797048 27312521 32720941 37591796 54625042 65441882 75183592 109250084 130883764 207953749 218500168 261767528 300437731 415907498 600875462 831814996 1201750924 1663629992 2287491239 2403501848 3304815041 4574982478 6609630082 9149964956 13219260164 18299929912 21003328649 25162403629 26438520328 42006657298 50324807258 84013314596 100649614516 168026629192 201299229032 231036615139 462073230278 924146460556 1848292921112 2541402766529 5082805533058 10165611066116 20331222132232