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103023123200 = 2852137117499
BaseRepresentation
bin101111111110010101…
…0000001101100000000
3100211220212011220122122
41133330222001230000
53141442404420300
6115154515023412
710305003045524
oct1377452015400
9324825156578
10103023123200
113a76795a328
1217b7229ab68
13993ac2bb3a
144db4765d84
152a2e849c85
hex17fca81b00

103023123200 has 108 divisors (see below), whose sum is σ = 256861815000. Its totient is φ = 40908103680.

The previous prime is 103023123197. The next prime is 103023123233. The reversal of 103023123200 is 2321320301.

It is a super-2 number, since 2×1030231232002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 818051 + ... + 935549.

Almost surely, 2103023123200 is an apocalyptic number.

103023123200 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 103023123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128430907500).

103023123200 is an abundant number, since it is smaller than the sum of its proper divisors (153838691800).

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

103023123200 is a wasteful number, since it uses less digits than its factorization.

103023123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117662 (or 117643 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 103023123200 its reverse (2321320301), we get a palindrome (105344443501).

The spelling of 103023123200 in words is "one hundred three billion, twenty-three million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 137 160 200 256 274 320 400 548 640 685 800 1096 1280 1370 1600 2192 2740 3200 3425 4384 5480 6400 6850 8768 10960 13700 17536 21920 27400 35072 43840 54800 87680 109600 117499 175360 219200 234998 438400 469996 587495 876800 939992 1174990 1879984 2349980 2937475 3759968 4699960 5874950 7519936 9399920 11749900 15039872 16097363 18799840 23499800 30079744 32194726 37599680 46999600 64389452 75199360 80486815 93999200 128778904 150398720 160973630 187998400 257557808 321947260 375996800 402434075 515115616 643894520 751993600 804868150 1030231232 1287789040 1609736300 2060462464 2575578080 3219472600 4120924928 5151156160 6438945200 10302312320 12877890400 20604624640 25755780800 51511561600 103023123200