Search a number
-
+
12100131100120 = 235761708438589
BaseRepresentation
bin1011000000010100100000…
…0001000001010111011000
31120211202112221102000121011
42300011020001001113120
53041222032030200440
641422420135023304
72356130346223060
oct260051001012730
946752487360534
1012100131100120
113945700613408
12143510550ab34
1369a06441175b
142db9142083a0
1515eb439049ea
hexb01480415d8

12100131100120 has 64 divisors (see below), whose sum is σ = 31624698657600. Its totient is φ = 4080606266880.

The previous prime is 12100131100091. The next prime is 12100131100129. The reversal of 12100131100120 is 2100113100121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12100131100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100131100129) 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, 354202215 + ... + 354236374.

It is an arithmetic number, because the mean of its divisors is an integer number (494135916525).

Almost surely, 212100131100120 is an apocalyptic number.

12100131100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100131100120 is an abundant number, since it is smaller than the sum of its proper divisors (19524567557480).

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

12100131100120 is a wasteful number, since it uses less digits than its factorization.

12100131100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708438668 (or 708438664 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12100131100120 its reverse (2100113100121), we get a palindrome (14200244200241).

The spelling of 12100131100120 in words is "twelve trillion, one hundred billion, one hundred thirty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 17080 708438589 1416877178 2833754356 3542192945 4959070123 5667508712 7084385890 9918140246 14168771780 19836280492 24795350615 28337543560 39672560984 43214753929 49590701230 86429507858 99181402460 172859015716 198362804920 216073769645 302503277503 345718031432 432147539290 605006555006 864295078580 1210013110012 1512516387515 1728590157160 2420026220024 3025032775030 6050065550060 12100131100120