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100144313320 = 23517314750679
BaseRepresentation
bin101110101000100010…
…0001111001111101000
3100120111020012012220111
41131101010033033220
53120043421011240
6114001120104104
710143445422022
oct1352104171750
9316436165814
10100144313320
113951a943907
12174aa165034
13959c69a13c
144bc02a9012
152911c441ea
hex175110f3e8

100144313320 has 64 divisors (see below), whose sum is σ = 246275251200. Its totient is φ = 36485207040.

The previous prime is 100144313261. The next prime is 100144313329. The reversal of 100144313320 is 23313441001.

It is a junction number, because it is equal to n+sod(n) for n = 100144313291 and 100144313300.

It is not an unprimeable number, because it can be changed into a prime (100144313329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2354260 + ... + 2396419.

It is an arithmetic number, because the mean of its divisors is an integer number (3848050800).

Almost surely, 2100144313320 is an apocalyptic number.

100144313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100144313320 is an abundant number, since it is smaller than the sum of its proper divisors (146130937880).

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

100144313320 is a wasteful number, since it uses less digits than its factorization.

100144313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750738 (or 4750734 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 100144313320 its reverse (23313441001), we get a palindrome (123457754321).

The spelling of 100144313320 in words is "one hundred billion, one hundred forty-four million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 21080 4750679 9501358 19002716 23753395 38005432 47506790 80761543 95013580 147271049 161523086 190027160 294542098 323046172 403807715 589084196 646092344 736355245 807615430 1178168392 1472710490 1615230860 2503607833 2945420980 3230461720 5007215666 5890841960 10014431332 12518039165 20028862664 25036078330 50072156660 100144313320