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103010013000 = 23325311445557
BaseRepresentation
bin101111111101111100…
…0000000111101001000
3100211212221111211211200
41133323320000331020
53141431030404000
6115153330024200
710304453443416
oct1377370007510
9324787454750
10103010013000
113a760515454
1217b69a18060
1399382bb71b
144db2b122b6
152a2d60a500
hex17fbe00f48

103010013000 has 96 divisors (see below), whose sum is σ = 348173874360. Its totient is φ = 27469334400.

The previous prime is 103010012983. The next prime is 103010013013. The reversal of 103010013000 is 310010301.

It can be written as a sum of positive squares in 4 ways, for example, as 25172360964 + 77837652036 = 158658^2 + 278994^2 .

It is a super-2 number, since 2×1030100130002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713779 + ... + 5731778.

Almost surely, 2103010013000 is an apocalyptic number.

103010013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103010013000 is an abundant number, since it is smaller than the sum of its proper divisors (245163861360).

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

103010013000 is a wasteful number, since it uses less digits than its factorization.

103010013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445584 (or 11445567 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 103010013000 its reverse (310010301), we get a palindrome (103320023301).

The spelling of 103010013000 in words is "one hundred three billion, ten million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 11445557 22891114 34336671 45782228 57227785 68673342 91564456 103010013 114455570 137346684 171683355 206020026 228911140 274693368 286138925 343366710 412040052 457822280 515050065 572277850 686733420 824080104 858416775 1030100130 1144555700 1373466840 1430694625 1716833550 2060200260 2289111400 2575250325 2861389250 3433667100 4120400520 4292083875 5150500650 5722778500 6867334200 8584167750 10301001300 11445557000 12876251625 17168335500 20602002600 25752503250 34336671000 51505006500 103010013000