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103112123000 = 2353176439433
BaseRepresentation
bin110000000000111110…
…1100010001001111000
3100212011001122120102112
41200001331202021320
53142133200414000
6115211414351452
710310133404255
oct1400175421170
9325131576375
10103112123000
113a803118187
1217b9805b588
1399534c0743
144dc24d242c
152a3757a235
hex1801f62278

103112123000 has 128 divisors (see below), whose sum is σ = 255899891520. Its totient is φ = 38754201600.

The previous prime is 103112122957. The next prime is 103112123011. The reversal of 103112123000 is 321211301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10926284 + ... + 10935716.

Almost surely, 2103112123000 is an apocalyptic number.

103112123000 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 103112123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127949945760).

103112123000 is an abundant number, since it is smaller than the sum of its proper divisors (152787768520).

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

103112123000 is a wasteful number, since it uses less digits than its factorization.

103112123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10100 counting only the distinct ones).

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

Adding to 103112123000 its reverse (321211301), we get a palindrome (103433334301).

The spelling of 103112123000 in words is "one hundred three billion, one hundred twelve million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 643 680 850 1000 1286 1700 2125 2572 3215 3400 4250 5144 6430 8500 9433 10931 12860 16075 17000 18866 21862 25720 32150 37732 43724 47165 54655 64300 75464 80375 87448 94330 109310 128600 160361 160750 188660 218620 235825 273275 320722 321500 377320 437240 471650 546550 641444 643000 801805 943300 1093100 1179125 1282888 1366375 1603610 1886600 2186200 2358250 2732750 3207220 4009025 4716500 5465500 6065419 6414440 8018050 9433000 10931000 12130838 16036100 20045125 24261676 30327095 32072200 40090250 48523352 60654190 80180500 103112123 121308380 151635475 160361000 206224246 242616760 303270950 412448492 515560615 606541900 758177375 824896984 1031121230 1213083800 1516354750 2062242460 2577803075 3032709500 4124484920 5155606150 6065419000 10311212300 12889015375 20622424600 25778030750 51556061500 103112123000