Search a number
-
+
211102031310300 = 2232521318042908659
BaseRepresentation
bin101111111111111100000101…
…100101100110110111011100
31000200110011020112012100000100
4233333330011211212313130
5210132143430003412200
62024550533454101100
762315422062365124
oct5777740545466734
91020404215170010
10211102031310300
116129996128a8a9
121b814ba31aa790
1390a3ab3cb0210
143a1b56dd05c84
1519613ace7cd00
hexbfff05966ddc

211102031310300 has 108 divisors (see below), whose sum is σ = 712586634618040. Its totient is φ = 51963576935040.

The previous prime is 211102031310259. The next prime is 211102031310341. The reversal of 211102031310300 is 3013130201112.

211102031310300 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 0 + 20 + 31 + 310 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (211102031310259) and next prime (211102031310341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9021442630 + ... + 9021466029.

Almost surely, 2211102031310300 is an apocalyptic number.

211102031310300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102031310300 is an abundant number, since it is smaller than the sum of its proper divisors (501484603307740).

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

211102031310300 is a wasteful number, since it uses less digits than its factorization.

211102031310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18042908692 (or 18042908682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211102031310300 its reverse (3013130201112), we get a palindrome (214115161511412).

The spelling of 211102031310300 in words is "two hundred eleven trillion, one hundred two billion, thirty-one million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 18042908659 36085817318 54128725977 72171634636 90214543295 108257451954 162386177931 180429086590 216514903908 234557812567 270643629885 324772355862 360858173180 451072716475 469115625134 541287259770 649544711724 703673437701 811930889655 902145432950 938231250268 1082574519540 1172789062835 1353218149425 1407346875402 1623861779310 1804290865900 2111020313103 2345578125670 2706436298850 2814693750804 3247723558620 3518367188505 4059654448275 4222040626206 4691156251340 5412872597700 5863945314175 7036734377010 8119308896550 8444081252412 10555101565515 11727890628350 14073468754020 16238617793100 17591835942525 21110203131030 23455781256700 35183671885050 42220406262060 52775507827575 70367343770100 105551015655150 211102031310300