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102104541311643 = 3313290896129093
BaseRepresentation
bin10111001101110100010000…
…111010100011001010011011
3111101112002200001002020221000
4113031310100322203022123
5101340340100033433033
61001054102334520043
730335544501136413
oct2715642072431233
9441462601066830
10102104541311643
112a59632478a782
12b550664366023
1344c8555cc90b0
141b2dc59903643
15bc0e90535a13
hex5cdd10ea329b

102104541311643 has 16 divisors (see below), whose sum is σ = 162901832292640. Its totient is φ = 62833563883872.

The previous prime is 102104541311627. The next prime is 102104541311723. The reversal of 102104541311643 is 346113145401201.

102104541311643 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 4 + 5 + 4 + 1 + 3 + 1 + 1 + 643 = 666.

102104541311643 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102104541311643 - 24 = 102104541311627 is a prime.

It is a super-2 number, since 2×1021045413116432 (a number of 29 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 = 102104541311598 and 102104541311607.

It is not an unprimeable number, because it can be changed into a prime (102104541311543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145448064196 + ... + 145448064897.

It is an arithmetic number, because the mean of its divisors is an integer number (10181364518290).

Almost surely, 2102104541311643 is an apocalyptic number.

102104541311643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102104541311643 is a deficient number, since it is larger than the sum of its proper divisors (60797290980997).

102104541311643 is a wasteful number, since it uses less digits than its factorization.

102104541311643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290896129115 (or 290896129109 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 102104541311643 its reverse (346113145401201), we get a palindrome (448217686712844).

The spelling of 102104541311643 in words is "one hundred two trillion, one hundred four billion, five hundred forty-one million, three hundred eleven thousand, six hundred forty-three".

Divisors: 1 3 9 13 27 39 117 351 290896129093 872688387279 2618065161837 3781649678209 7854195485511 11344949034627 34034847103881 102104541311643