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21322304034031 = 72112136121121493
BaseRepresentation
bin1001101100100011111000…
…10110111001010011101111
32210111101121000210021122101
410312101330112321103233
510243321034313042111
6113203155314355531
74330325366612500
oct466217426712357
983441530707571
1021322304034031
116880813835100
1224844a458bba7
13bb88b9211140
1453a00dacaba7
1526e996e43bc1
hex13647c5b94ef

21322304034031 has 144 divisors (see below), whose sum is σ = 29984673712224. Its totient is φ = 15013107648000.

The previous prime is 21322304033977. The next prime is 21322304034037. The reversal of 21322304034031 is 13043040322312.

It is a happy number.

It is not a de Polignac number, because 21322304034031 - 219 = 21322303509743 is a prime.

It is a super-2 number, since 2×213223040340312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322304034037) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 992047321 + ... + 992068813.

Almost surely, 221322304034031 is an apocalyptic number.

21322304034031 is a deficient number, since it is larger than the sum of its proper divisors (8662369678193).

21322304034031 is a wasteful number, since it uses less digits than its factorization.

21322304034031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21814 (or 21796 counting only the distinct ones).

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

Adding to 21322304034031 its reverse (13043040322312), we get a palindrome (34365344356343).

The spelling of 21322304034031 in words is "twenty-one trillion, three hundred twenty-two billion, three hundred four million, thirty-four thousand, thirty-one".

Divisors: 1 7 11 13 49 61 77 91 121 143 211 427 539 637 671 793 847 1001 1477 1573 2321 2743 2989 4697 5551 5929 7007 7381 8723 10339 11011 12871 16247 19201 21493 25531 30173 32879 38857 51667 61061 77077 90097 95953 113729 134407 141581 150451 167323 178717 211211 236423 279409 331903 361669 427427 630679 671671 991067 1053157 1171261 1251019 1311073 1478477 1557391 1654961 1840553 1955863 2323321 2600653 3073499 4535023 4701697 6937469 8198827 9177511 10901737 11584727 12883871 13691041 14421803 16263247 17043949 18204571 20246083 21514493 31745161 33808489 49885253 58955299 64242577 76312159 90187097 100952621 119307643 127431997 141722581 150601451 158639833 187483439 222216127 236659423 276636403 349196771 412687093 548737783 648508289 706668347 835153501 992058067 1110478831 1312384073 1656615961 1936454821 2062317829 2444377397 2888809651 3043000433 3596273239 3841164481 4539558023 7133591179 7773351817 9186688511 13555183747 14436224803 21301003031 25173912673 26888151367 31776906161 33473004763 39559005629 49935138253 101053573621 149107021217 176217388711 234311033341 276913039403 349545967771 435149061919 1640177233387 1938391275821 3046043433433 21322304034031