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21331211232 = 2531929403267
BaseRepresentation
bin10011110111011100…
…000111001111100000
32001001121102210202110
4103313130013033200
5322141242224412
613444401515320
71353415206132
oct236734071740
961047383673
1021331211232
119056a047a1
124173942b40
13201c41cca6
14106500d052
1584ca73d3c
hex4f77073e0

21331211232 has 96 divisors (see below), whose sum is σ = 60974121600. Its totient is φ = 6503874048.

The previous prime is 21331211183. The next prime is 21331211233. The reversal of 21331211232 is 23211213312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21331211199 and 21331211208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331211233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148738 + ... + 254529.

It is an arithmetic number, because the mean of its divisors is an integer number (635147100).

Almost surely, 221331211232 is an apocalyptic number.

It is an amenable number.

21331211232 is an abundant number, since it is smaller than the sum of its proper divisors (39642910368).

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

21331211232 is a wasteful number, since it uses less digits than its factorization.

21331211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403328 (or 403320 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 21331211232 its reverse (23211213312), we get a palindrome (44542424544).

The spelling of 21331211232 in words is "twenty-one billion, three hundred thirty-one million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 304 348 456 464 551 608 696 912 928 1102 1392 1653 1824 2204 2784 3306 4408 6612 8816 13224 17632 26448 52896 403267 806534 1209801 1613068 2419602 3226136 4839204 6452272 7662073 9678408 11694743 12904544 15324146 19356816 22986219 23389486 30648292 35084229 38713632 45972438 46778972 61296584 70168458 91944876 93557944 122593168 140336916 183889752 187115888 222200117 245186336 280673832 367779504 374231776 444400234 561347664 666600351 735559008 888800468 1122695328 1333200702 1777600936 2666401404 3555201872 5332802808 7110403744 10665605616 21331211232