Search a number
-
+
10010320301100 = 22352731153768361
BaseRepresentation
bin1001000110101011010110…
…0101011110110000101100
31022102222101102200212110110
42101222311211132300230
52303002113444113400
633142402212540020
72052136032430560
oct221526545366054
938388342625413
1010010320301100
11320a397928a89
121158098021610
13577c7a300c72
14268705a2b6a0
151255d0ebee50
hex91ab595ec2c

10010320301100 has 144 divisors (see below), whose sum is σ = 34168560183296. Its totient is φ = 2214264384000.

The previous prime is 10010320301071. The next prime is 10010320301183. The reversal of 10010320301100 is 110302301001.

10010320301100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100103203011002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76819081 + ... + 76949280.

Almost surely, 210010320301100 is an apocalyptic number.

10010320301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010320301100 is an abundant number, since it is smaller than the sum of its proper divisors (24158239882196).

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

10010320301100 is a wasteful number, since it uses less digits than its factorization.

10010320301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153768416 (or 153768409 counting only the distinct ones).

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

Adding to 10010320301100 its reverse (110302301001), we get a palindrome (10120622602101).

The spelling of 10010320301100 in words is "ten trillion, ten billion, three hundred twenty million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2100 2170 2325 2604 3100 3255 4340 4650 5425 6510 9300 10850 13020 16275 21700 32550 65100 153768361 307536722 461305083 615073444 768841805 922610166 1076378527 1537683610 1845220332 2152757054 2306525415 3075367220 3229135581 3844209025 4305514108 4613050830 4766819191 5381892635 6458271162 7688418050 9226101660 9533638382 10763785270 11532627075 12916542324 14300457573 15376836100 16145677905 19067276764 21527570540 23065254150 23834095955 26909463175 28600915146 32291355810 33367734337 46130508300 47668191910 53818926350 57201830292 64582711620 66735468674 71502287865 80728389525 95336383820 100103203011 107637852700 119170479775 133470937348 143004575730 161456779050 166838671685 200206406022 238340959550 286009151460 322913558100 333677343370 357511439325 400412812044 476681919100 500516015055 667354686740 715022878650 834193358425 1001032030110 1430045757300 1668386716850 2002064060220 2502580075275 3336773433700 5005160150550 10010320301100