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103001303310 = 23541271309007
BaseRepresentation
bin101111111101101011…
…0110010100100001110
3100211212100010100101120
41133323112302210032
53141421313201220
6115152415221410
710304316426633
oct1377326624416
9324770110346
10103001303310
113a756606764
1217b66b17866
13993655c269
144db18c618a
152a2c989a40
hex17fb5b290e

103001303310 has 64 divisors (see below), whose sum is σ = 254167732224. Its totient is φ = 26698118400.

The previous prime is 103001303287. The next prime is 103001303329. The reversal of 103001303310 is 13303100301.

It is a super-2 number, since 2×1030013033102 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103001303310.

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, 178827 + ... + 487833.

It is an arithmetic number, because the mean of its divisors is an integer number (3971370816).

Almost surely, 2103001303310 is an apocalyptic number.

103001303310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103001303310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127083866112).

103001303310 is an abundant number, since it is smaller than the sum of its proper divisors (151166428914).

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

103001303310 is a wasteful number, since it uses less digits than its factorization.

103001303310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309329.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 103001303310 its reverse (13303100301), we get a palindrome (116304403611).

The spelling of 103001303310 in words is "one hundred three billion, one million, three hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 55555 66666 111110 166665 309007 333330 618014 927021 1545035 1854042 3090070 4635105 9270210 12669287 25338574 38007861 63346435 76015722 83740897 126692870 167481794 190039305 251222691 380078610 418704485 502445382 837408970 1256113455 2512226910 3433376777 6866753554 10300130331 17166883885 20600260662 34333767770 51500651655 103001303310