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21331430044002 = 232132328314005217
BaseRepresentation
bin1001101100110100111000…
…10011110111000101100010
32210112021011000222121211200
410312122130103313011202
510243443232042402002
6113211305040422030
74331100502455531
oct466323423670542
983467130877750
1021331430044002
116884677172501
122486210917916
13bb9711b10a40
1453a637b44318
1526ed2d211b1c
hex13669c4f7162

21331430044002 has 96 divisors (see below), whose sum is σ = 52120922974848. Its totient is φ = 6255961924608.

The previous prime is 21331430043997. The next prime is 21331430044061. The reversal of 21331430044002 is 20044003413312.

21331430044002 is a `hidden beast` number, since 2 + 1 + 3 + 314 + 300 + 4 + 40 + 0 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 5479503 + ... + 8525714.

It is an arithmetic number, because the mean of its divisors is an integer number (542926280988).

Almost surely, 221331430044002 is an apocalyptic number.

21331430044002 is an abundant number, since it is smaller than the sum of its proper divisors (30789492930846).

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

21331430044002 is a wasteful number, since it uses less digits than its factorization.

21331430044002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005544 (or 14005541 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21331430044002 its reverse (20044003413312), we get a palindrome (41375433457314).

The spelling of 21331430044002 in words is "twenty-one trillion, three hundred thirty-one billion, four hundred thirty million, forty-four thousand, two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 283 299 414 566 598 849 897 1698 1794 2547 2691 3679 5094 5382 6509 7358 11037 13018 19527 22074 33111 39054 58581 66222 84617 117162 169234 253851 507702 761553 1523106 14005217 28010434 42015651 84031302 126046953 182067821 252093906 322119991 364135642 546203463 644239982 966359973 1092406926 1638610389 1932719946 2899079919 3277220778 3963476411 4187559883 5798159838 7926952822 8375119766 11890429233 12562679649 23780858466 25125359298 35671287699 37688038947 51525193343 71342575398 75376077894 91159957453 103050386686 154575580029 182319914906 273479872359 309151160058 463726740087 546959744718 820439617077 927453480174 1185079446889 1640879234154 2370158893778 3555238340667 7110476681334 10665715022001 21331430044002