Search a number
-
+
10121131220202 = 23210114797376237
BaseRepresentation
bin1001001101001000001001…
…1011100101110011101010
31022211120102000222210201100
42103102002123211303222
52311311034043021302
633305330011302230
72063141031622632
oct223220233456352
938746360883640
1010121131220202
113252390797672
12117566244a976
13585559804a52
1426dc187bd6c2
15128419399d1c
hex934826e5cea

10121131220202 has 48 divisors (see below), whose sum is σ = 22147793157672. Its totient is φ = 3340072713600.

The previous prime is 10121131220183. The next prime is 10121131220261. The reversal of 10121131220202 is 20202213112101.

10121131220202 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 31 + 220 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9930685387401 + 190445832801 = 3151299^2 + 436401^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26712828 + ... + 27089064.

Almost surely, 210121131220202 is an apocalyptic number.

10121131220202 is an abundant number, since it is smaller than the sum of its proper divisors (12026661937470).

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

10121131220202 is a wasteful number, since it uses less digits than its factorization.

10121131220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391143 (or 391140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10121131220202 its reverse (20202213112101), we get a palindrome (30323344332303).

The spelling of 10121131220202 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 14797 29594 44391 88782 133173 266346 376237 752474 1128711 1494497 2257422 2988994 3386133 4483491 6772266 8966982 13450473 26900946 37999937 75999874 113999811 227999622 341999433 683998866 5567178889 11134357778 16701536667 33403073334 50104610001 100209220002 562285067789 1124570135578 1686855203367 3373710406734 5060565610101 10121131220202