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100311030320 = 24561157130927
BaseRepresentation
bin101110101101100000…
…0001101101000110000
3100120220211220022122012
41131123000031220300
53120414110432240
6114025433302052
710150541455304
oct1353300155060
9316824808565
10100311030320
11395a5a63856
1217535b64928
1395c80a0057
144bd84a5d04
1529216c6b65
hex175b00da30

100311030320 has 80 divisors (see below), whose sum is σ = 238558147968. Its totient is φ = 39214955520.

The previous prime is 100311030311. The next prime is 100311030367. The reversal of 100311030320 is 23030113001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 100311030295 and 100311030304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700697 + ... + 831623.

Almost surely, 2100311030320 is an apocalyptic number.

100311030320 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 100311030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119279073984).

100311030320 is an abundant number, since it is smaller than the sum of its proper divisors (138247117648).

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

100311030320 is a wasteful number, since it uses less digits than its factorization.

100311030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131158 (or 131152 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100311030320 its reverse (23030113001), we get a palindrome (123341143321).

The spelling of 100311030320 in words is "one hundred billion, three hundred eleven million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 157 244 305 314 488 610 628 785 976 1220 1256 1570 2440 2512 3140 4880 6280 9577 12560 19154 38308 47885 76616 95770 130927 153232 191540 261854 383080 523708 654635 766160 1047416 1309270 2094832 2618540 5237080 7986547 10474160 15973094 20555539 31946188 39932735 41111078 63892376 79865470 82222156 102777695 127784752 159730940 164444312 205555390 319461880 328888624 411110780 638923760 822221560 1253887879 1644443120 2507775758 5015551516 6269439395 10031103032 12538878790 20062206064 25077757580 50155515160 100311030320