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122013210232233 = 3410993431479139
BaseRepresentation
bin11011101111100001101010…
…000011011100010110101001
3121000000100102102000012210000
4123233201222003130112221
5111443031023304412413
61111300032303013213
734462110043621635
oct3357415203342651
9530010372005700
10122013210232233
113597156a330aa1
1211826b8929a209
135310a477904b8
14221b684171dc5
15e18c9c261073
hex6ef86a0dc5a9

122013210232233 has 40 divisors (see below), whose sum is σ = 183958630169600. Its totient is φ = 80587201167072.

The previous prime is 122013210232171. The next prime is 122013210232271. The reversal of 122013210232233 is 332232012310221.

122013210232233 is a `hidden beast` number, since 1 + 2 + 201 + 3 + 2 + 102 + 322 + 33 = 666.

It is not a de Polignac number, because 122013210232233 - 213 = 122013210224041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122013210232197 and 122013210232206.

It is not an unprimeable number, because it can be changed into a prime (122013210232633) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81749778 + ... + 83228916.

It is an arithmetic number, because the mean of its divisors is an integer number (4598965754240).

Almost surely, 2122013210232233 is an apocalyptic number.

It is an amenable number.

122013210232233 is a deficient number, since it is larger than the sum of its proper divisors (61945419937367).

122013210232233 is a wasteful number, since it uses less digits than its factorization.

122013210232233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488603 (or 1488594 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122013210232233 its reverse (332232012310221), we get a palindrome (454245222542454).

The spelling of 122013210232233 in words is "one hundred twenty-two trillion, thirteen billion, two hundred ten million, two hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 109 327 981 2943 8829 9343 28029 84087 252261 756783 1018387 1479139 3055161 4437417 9165483 13312251 27496449 39936753 82489347 119810259 161226151 483678453 1451035359 4353106077 13059318231 13819595677 41458787031 124376361093 373129083279 1119387249837 1506335928793 4519007786379 13557023359137 40671070077411 122013210232233