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21332203120032 = 2537197931603817
BaseRepresentation
bin1001101100110110010100…
…11000111010010110100000
32210112100010220122221210020
410312123022120322112200
510244001322444320112
6113211513454233440
74331125610504520
oct466331230722640
983470126587706
1021332203120032
116884a33593a12
1224863a77b5880
13bb9806027a8c
1453a6ac6a1680
1526ed7601b48c
hex1366ca63a5a0

21332203120032 has 96 divisors (see below), whose sum is σ = 63999882559872. Its totient is φ = 6094603444224.

The previous prime is 21332203119991. The next prime is 21332203120049. The reversal of 21332203120032 is 23002130223312.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21332203119984 and 21332203120011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12498988 + ... + 14102804.

It is an arithmetic number, because the mean of its divisors is an integer number (666665443332).

Almost surely, 221332203120032 is an apocalyptic number.

It is an amenable number.

21332203120032 is an abundant number, since it is smaller than the sum of its proper divisors (42667679439840).

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

21332203120032 is a wasteful number, since it uses less digits than its factorization.

21332203120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623630 (or 1623622 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21332203120032 its reverse (23002130223312), we get a palindrome (44334333343344).

The spelling of 21332203120032 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19793 39586 59379 79172 118758 138551 158344 237516 277102 316688 415653 475032 554204 633376 831306 950064 1108408 1603817 1662612 1900128 2216816 3207634 3325224 4433632 4811451 6415268 6650448 9622902 11226719 12830536 13300896 19245804 22453438 25661072 33680157 38491608 44906876 51322144 67360314 76983216 89813752 134720628 153966432 179627504 269441256 359255008 538882512 1077765024 31744349881 63488699762 95233049643 126977399524 190466099286 222210449167 253954799048 380932198572 444420898334 507909598096 666631347501 761864397144 888841796668 1015819196192 1333262695002 1523728794288 1777683593336 2666525390004 3047457588576 3555367186672 5333050780008 7110734373344 10666101560016 21332203120032