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20122013223 = 331331272671
BaseRepresentation
bin10010101111010111…
…011000111000100111
31220221100010011221000
4102233113120320213
5312202213410343
613124404324343
71311433201404
oct225727307047
956840104830
1020122013223
1185963963a4
123a969a36b3
131b88a58000
14d8c5a72ab
157cb81ced3
hex4af5d8e27

20122013223 has 64 divisors (see below), whose sum is σ = 32559923200. Its totient is φ = 12280675680.

The previous prime is 20122013221. The next prime is 20122013257. The reversal of 20122013223 is 32231022102.

It is not a de Polignac number, because 20122013223 - 21 = 20122013221 is a prime.

It is a super-2 number, since 2×201220132232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20122013196 and 20122013205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122013221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7532178 + ... + 7534848.

It is an arithmetic number, because the mean of its divisors is an integer number (508748800).

Almost surely, 220122013223 is an apocalyptic number.

20122013223 is a deficient number, since it is larger than the sum of its proper divisors (12437909977).

20122013223 is a wasteful number, since it uses less digits than its factorization.

20122013223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20122013223 its reverse (32231022102), we get a palindrome (52353035325).

The spelling of 20122013223 in words is "twenty billion, one hundred twenty-two million, thirteen thousand, two hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 127 169 351 381 507 1143 1521 1651 2197 2671 3429 4563 4953 6591 8013 14859 19773 21463 24039 34723 44577 59319 64389 72117 104169 193167 279019 312507 339217 451399 579501 837057 937521 1017651 1354197 2511171 3052953 4062591 4409821 5868187 7533513 9158859 12187773 13229463 17604561 39688389 52813683 57327673 119065167 158441049 171983019 515949057 745259749 1547847171 2235779247 6707337741 20122013223