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10612103000 = 235314897127
BaseRepresentation
bin10011110001000011…
…11101011101011000
31000101120112200120212
421320201331131120
5133213144244000
64513010110252
7523656246542
oct117041753530
930346480525
1010612103000
11455628a064
122081b7b388
131001762bb5
1472957a692
154219bbc35
hex27887d758

10612103000 has 64 divisors (see below), whose sum is σ = 24852484800. Its totient is φ = 4241395200.

The previous prime is 10612102981. The next prime is 10612103053. The reversal of 10612103000 is 30121601.

It is a super-2 number, since 2×106121030002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485437 + ... + 1492563.

It is an arithmetic number, because the mean of its divisors is an integer number (388320075).

Almost surely, 210612103000 is an apocalyptic number.

10612103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10612103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426242400).

10612103000 is an abundant number, since it is smaller than the sum of its proper divisors (14240381800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10612103000 is a wasteful number, since it uses less digits than its factorization.

10612103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8637 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10612103000 its reverse (30121601), we get a palindrome (10642224601).

The spelling of 10612103000 in words is "ten billion, six hundred twelve million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1489 2978 5956 7127 7445 11912 14254 14890 28508 29780 35635 37225 57016 59560 71270 74450 142540 148900 178175 186125 285080 297800 356350 372250 712700 744500 890875 1425400 1489000 1781750 3563500 7127000 10612103 21224206 42448412 53060515 84896824 106121030 212242060 265302575 424484120 530605150 1061210300 1326512875 2122420600 2653025750 5306051500 10612103000