Search a number
-
+
100203330033312 = 25311293272052313
BaseRepresentation
bin10110110010001001100111…
…111001000101011010100000
3111010210100022100122102201020
4112302021213321011122200
5101113212404442031222
6553040435131005440
730051310633666212
oct2662114771053240
9433710270572636
10100203330033312
1129a22aa2565720
12b2a40b0599880
1343bb19733161c
141aa5c1d28a5b2
15b8b7ba27a65c
hex5b2267e456a0

100203330033312 has 96 divisors (see below), whose sum is σ = 296840585926080. Its totient is φ = 29317588715520.

The previous prime is 100203330033311. The next prime is 100203330033319. The reversal of 100203330033312 is 213330033302001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100203330033311) 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, 1635995533 + ... + 1636056780.

It is an arithmetic number, because the mean of its divisors is an integer number (3092089436730).

Almost surely, 2100203330033312 is an apocalyptic number.

100203330033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100203330033312 is an abundant number, since it is smaller than the sum of its proper divisors (196637255892768).

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

100203330033312 is a wasteful number, since it uses less digits than its factorization.

100203330033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272052366 (or 3272052358 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 100203330033312 its reverse (213330033302001), we get a palindrome (313533363335313).

The spelling of 100203330033312 in words is "one hundred trillion, two hundred three billion, three hundred thirty million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 30624 3272052313 6544104626 9816156939 13088209252 19632313878 26176418504 35992575443 39264627756 52352837008 71985150886 78529255512 94889517077 104705674016 107977726329 143970301772 157058511024 189779034154 215955452658 284668551231 287940603544 314117022048 379558068308 431910905316 569337102462 575881207088 759116136616 863821810632 1043784687847 1138674204924 1151762414176 1518232273232 1727643621264 2087569375694 2277348409848 3036464546464 3131354063541 3455287242528 4175138751388 4554696819696 6262708127082 8350277502776 9109393639392 12525416254164 16700555005552 25050832508328 33401110011104 50101665016656 100203330033312