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103111035000 = 2335417404357
BaseRepresentation
bin110000000000111100…
…1011000100001111000
3100212010222121021222020
41200001321120201320
53142132411110000
6115211335154440
710310121223251
oct1400171304170
9325128537866
10103111035000
113a802544806
1217b97815a20
1399531cc45c
144dc22cbb28
152a37412ba0
hex1801e58878

103111035000 has 160 divisors (see below), whose sum is σ = 341067885840. Its totient is φ = 25878784000.

The previous prime is 103111034977. The next prime is 103111035007. The reversal of 103111035000 is 530111301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103111035007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52822 + ... + 457178.

Almost surely, 2103111035000 is an apocalyptic number.

103111035000 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 103111035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170533942920).

103111035000 is an abundant number, since it is smaller than the sum of its proper divisors (237956850840).

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

103111035000 is a wasteful number, since it uses less digits than its factorization.

103111035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404403 (or 404384 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 103111035000 its reverse (530111301), we get a palindrome (103641146301).

The spelling of 103111035000 in words is "one hundred three billion, one hundred eleven million, thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 625 680 750 850 1000 1020 1250 1275 1500 1700 1875 2040 2125 2500 2550 3000 3400 3750 4250 5000 5100 6375 7500 8500 10200 10625 12750 15000 17000 21250 25500 31875 42500 51000 63750 85000 127500 255000 404357 808714 1213071 1617428 2021785 2426142 3234856 4043570 4852284 6065355 6874069 8087140 9704568 10108925 12130710 13748138 16174280 20217850 20622207 24261420 27496276 30326775 34370345 40435700 41244414 48522840 50544625 54992552 60653550 68740690 80871400 82488828 101089250 103111035 121307100 137481380 151633875 164977656 171851725 202178500 206222070 242614200 252723125 274962760 303267750 343703450 404357000 412444140 505446250 515555175 606535500 687406900 758169375 824888280 859258625 1010892500 1031110350 1213071000 1374813800 1516338750 1718517250 2021785000 2062220700 2577775875 3032677500 3437034500 4124441400 4296293125 5155551750 6065355000 6874069000 8592586250 10311103500 12888879375 17185172500 20622207000 25777758750 34370345000 51555517500 103111035000