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103000210320 = 24357109356093
BaseRepresentation
bin101111111101101001…
…0100111101110010000
3100211212021001211002110
41133323102213232100
53141421023212240
6115152335545320
710304304225240
oct1377322475620
9324767054073
10103000210320
113a755a2a567
1217b6668b240
139936268917
144db16bdb20
152a2c820c80
hex17fb4a7b90

103000210320 has 160 divisors (see below), whose sum is σ = 365255407872. Its totient is φ = 23520946176.

The previous prime is 103000210289. The next prime is 103000210333. The reversal of 103000210320 is 23012000301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103000210296 and 103000210305.

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, 1808194 + ... + 1864286.

Almost surely, 2103000210320 is an apocalyptic number.

103000210320 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 103000210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182627703936).

103000210320 is an abundant number, since it is smaller than the sum of its proper divisors (262255197552).

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

103000210320 is a wasteful number, since it uses less digits than its factorization.

103000210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57209 (or 57203 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103000210320 its reverse (23012000301), we get a palindrome (126012210621).

The spelling of 103000210320 in words is "one hundred three billion, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1093 1680 2186 3279 4372 5465 6558 7651 8744 10930 13116 15302 16395 17488 21860 22953 26232 30604 32790 38255 43720 45906 52464 56093 61208 65580 76510 87440 91812 112186 114765 122416 131160 153020 168279 183624 224372 229530 262320 280465 306040 336558 367248 392651 448744 459060 560930 612080 673116 785302 841395 897488 918120 1121860 1177953 1346232 1570604 1682790 1836240 1963255 2243720 2355906 2692464 3141208 3365580 3926510 4487440 4711812 5889765 6282416 6731160 7853020 9423624 11779530 13462320 15706040 18847248 23559060 31412080 47118120 61309649 94236240 122619298 183928947 245238596 306548245 367857894 429167543 490477192 613096490 735715788 858335086 919644735 980954384 1226192980 1287502629 1471431576 1716670172 1839289470 2145837715 2452385960 2575005258 2942863152 3433340344 3678578940 4291675430 4904771920 5150010516 6437513145 6866680688 7357157880 8583350860 10300021032 12875026290 14714315760 17166701720 20600042064 25750052580 34333403440 51500105160 103000210320