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20132211211332 = 223112273541189743
BaseRepresentation
bin1001001001111011001010…
…10011000011110001000100
32122021121202102011220222120
410210331211103003301010
510114321232032230312
6110452335443125540
74145334650541333
oct444754523036104
978247672156876
1020132211211332
116462028423a50
1223119109738b0
13b305c8313c2c
144d8593281d1a
1524da41dcd28c
hex124f654c3c44

20132211211332 has 96 divisors (see below), whose sum is σ = 51486187382784. Its totient is φ = 6072047587200.

The previous prime is 20132211211297. The next prime is 20132211211337. The reversal of 20132211211332 is 23311211223102.

It is not an unprimeable number, because it can be changed into a prime (20132211211337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106007653 + ... + 106197395.

It is an arithmetic number, because the mean of its divisors is an integer number (536314451904).

Almost surely, 220132211211332 is an apocalyptic number.

20132211211332 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 20132211211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25743093691392).

20132211211332 is an abundant number, since it is smaller than the sum of its proper divisors (31353976171452).

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

20132211211332 is a wasteful number, since it uses less digits than its factorization.

20132211211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193529 (or 193527 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 20132211211332 its reverse (23311211223102), we get a palindrome (43443422434434).

The spelling of 20132211211332 in words is "twenty trillion, one hundred thirty-two billion, two hundred eleven million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 3541 4994 7082 7491 9988 10623 14164 14982 21246 29964 38951 42492 77902 116853 155804 189743 233706 379486 467412 569229 758972 803807 1138458 1607614 2087173 2276916 2411421 3215228 4174346 4822842 6261519 8348692 8841877 9645684 12523038 17683754 25046076 26525631 35367508 43071661 53051262 86143322 106102524 129214983 172286644 258429966 473788271 516859932 671879963 947576542 1343759926 1421364813 1895153084 2015639889 2687519852 2842729626 4031279778 5685459252 7390679593 8062559556 14781359186 22172038779 29562718372 44344077558 88688155116 152516751601 305033503202 457550254803 610067006404 915100509606 1677684267611 1830201019212 3355368535222 5033052802833 6710737070444 10066105605666 20132211211332