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123013203305553 = 32119111363949077
BaseRepresentation
bin11011111110000100111110…
…010010010010010001010001
3121010112221120122101201122100
4123332010332102102101101
5112110422020021234203
61113343252505031013
734624260565531401
oct3376047622222121
9533487518351570
10123013203305553
1136217674355860
1211968948a85469
1353841314a22c2
142253c296d4801
15e34cc80a9ea3
hex6fe13e492451

123013203305553 has 24 divisors (see below), whose sum is σ = 194051763225216. Its totient is φ = 74471619549600.

The previous prime is 123013203305519. The next prime is 123013203305579. The reversal of 123013203305553 is 355503302310321.

It is a happy number.

123013203305553 is a `hidden beast` number, since 1 + 23 + 0 + 1 + 320 + 3 + 305 + 5 + 5 + 3 = 666.

It is not a de Polignac number, because 123013203305553 - 229 = 123012666434641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123013203301553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681884350 + ... + 682064727.

It is an arithmetic number, because the mean of its divisors is an integer number (8085490134384).

Almost surely, 2123013203305553 is an apocalyptic number.

It is an amenable number.

123013203305553 is a deficient number, since it is larger than the sum of its proper divisors (71038559919663).

123013203305553 is a wasteful number, since it uses less digits than its factorization.

123013203305553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363950005 (or 1363950002 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

Adding to 123013203305553 its reverse (355503302310321), we get a palindrome (478516505615874).

The spelling of 123013203305553 in words is "one hundred twenty-three trillion, thirteen billion, two hundred three million, three hundred five thousand, five hundred fifty-three".

Divisors: 1 3 9 11 33 99 911 2733 8199 10021 30063 90189 1363949077 4091847231 12275541693 15003439847 45010319541 135030958623 1242557609147 3727672827441 11183018482323 13668133700617 41004401101851 123013203305553