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102120011331233 = 72911093391133769
BaseRepresentation
bin10111001110000010101010…
…111111111111011010100001
3111101120120121011122200021112
4113032002222333333122201
5101341113240400044413
61001105141403033105
730336633036135350
oct2716025277773241
9441516534580245
10102120011331233
112a5a1943151435
12b55366120b795
1344c9b5003113c
141b308c6317997
15bc15987402a8
hex5ce0aafff6a1

102120011331233 has 32 divisors (see below), whose sum is σ = 120878424576000. Its totient is φ = 84411374906880.

The previous prime is 102120011331161. The next prime is 102120011331257. The reversal of 102120011331233 is 332133110021201.

It is not a de Polignac number, because 102120011331233 - 222 = 102120007136929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102120011331199 and 102120011331208.

It is not an unprimeable number, because it can be changed into a prime (102120011331733) 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, 763338773 + ... + 763472541.

It is an arithmetic number, because the mean of its divisors is an integer number (3777450768000).

Almost surely, 2102120011331233 is an apocalyptic number.

It is an amenable number.

102120011331233 is a deficient number, since it is larger than the sum of its proper divisors (18758413244767).

102120011331233 is a wasteful number, since it uses less digits than its factorization.

102120011331233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138305.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102120011331233 its reverse (332133110021201), we get a palindrome (434253121352434).

The spelling of 102120011331233 in words is "one hundred two trillion, one hundred twenty billion, eleven million, three hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 7 29 203 1109 3391 7763 23737 32161 98339 133769 225127 688373 936383 3760619 3879301 26324333 27155107 109057951 148349821 453610679 763405657 1038448747 3175274753 4302144809 13154709691 30115013663 92082967837 503054243011 3521379701077 14588573047319 102120011331233