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21223201013 = 7177312719237
BaseRepresentation
bin10011110001000000…
…000101100011110101
32000210002012022120222
4103301000011203311
5321431114413023
613425542504125
71350634142420
oct236100054365
960702168528
1021223201013
119000a42053
124143735045
132002c33511
1410549349b7
1584333acc8
hex4f10058f5

21223201013 has 32 divisors (see below), whose sum is σ = 26240016384. Its totient is φ = 16752863232.

The previous prime is 21223201007. The next prime is 21223201049. The reversal of 21223201013 is 31010232212.

It is not a de Polignac number, because 21223201013 - 210 = 21223199989 is a prime.

It is a super-3 number, since 3×212232010133 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21223200982 and 21223201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223201213) 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, 1093631 + ... + 1112867.

It is an arithmetic number, because the mean of its divisors is an integer number (820000512).

Almost surely, 221223201013 is an apocalyptic number.

It is an amenable number.

21223201013 is a deficient number, since it is larger than the sum of its proper divisors (5016815371).

21223201013 is a wasteful number, since it uses less digits than its factorization.

21223201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19461.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21223201013 its reverse (31010232212), we get a palindrome (52233433225).

The spelling of 21223201013 in words is "twenty-one billion, two hundred twenty-three million, two hundred one thousand, thirteen".

Divisors: 1 7 17 73 119 127 511 889 1241 2159 8687 9271 15113 19237 64897 134659 157607 327029 1103249 1404301 2289203 2443099 9830107 17101693 23873117 41532683 167111819 178346227 290728781 1248423589 3031885859 21223201013