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100100231130 = 235171574672677
BaseRepresentation
bin101110100111001110…
…0000100111111011010
3100120101011020121111210
41131032130010333122
53120001124344010
6113552503203550
710142401632354
oct1351634047732
9316334217453
10100100231130
11394a7a75249
12174974465b6
1395935044c3
144bb84b20d4
15290ce37b20
hex174e704fda

100100231130 has 128 divisors (see below), whose sum is σ = 256636553472. Its totient is φ = 24900415488.

The previous prime is 100100231083. The next prime is 100100231159. The reversal of 100100231130 is 31132001001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37391352 + ... + 37394028.

It is an arithmetic number, because the mean of its divisors is an integer number (2004973074).

Almost surely, 2100100231130 is an apocalyptic number.

100100231130 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 100100231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128318276736).

100100231130 is an abundant number, since it is smaller than the sum of its proper divisors (156536322342).

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

100100231130 is a wasteful number, since it uses less digits than its factorization.

100100231130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100100231130 its reverse (31132001001), we get a palindrome (131232232131).

The spelling of 100100231130 in words is "one hundred billion, one hundred million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 157 170 255 314 467 471 510 785 934 942 1401 1570 2335 2355 2669 2677 2802 4670 4710 5338 5354 7005 7939 8007 8031 13345 13385 14010 15878 16014 16062 23817 26690 26770 39695 40035 40155 45509 47634 73319 79390 80070 80310 91018 119085 136527 146638 219957 227545 238170 273054 366595 420289 439914 455090 682635 733190 840578 1099785 1246423 1250159 1260867 1365270 2101445 2199570 2492846 2500318 2521734 3739269 3750477 4202890 6232115 6250795 6304335 7144913 7478538 7500954 12464230 12501590 12608670 14289826 18696345 18752385 21252703 21434739 35724565 37392690 37504770 42505406 42869478 63758109 71449130 106263515 107173695 127516218 196274963 212527030 214347390 318790545 392549926 588824889 637581090 981374815 1177649778 1962749630 2944124445 3336674371 5888248890 6673348742 10010023113 16683371855 20020046226 33366743710 50050115565 100100231130