Search a number
-
+
1010231132121 = 3217531913791721
BaseRepresentation
bin11101011001101100111…
…01111011111111011001
310120120120202002210021100
432230312131323333121
5113022423132211441
62052032131102013
7132662316640401
oct16546635737731
93516522083240
101010231132121
1135a489156992
12143958441909
1374358b20683
1436c77173801
151b429a7ccb6
hexeb3677bfd9

1010231132121 has 96 divisors (see below), whose sum is σ = 1587550648320. Its totient is φ = 616663756800.

The previous prime is 1010231132111. The next prime is 1010231132173. The reversal of 1010231132121 is 1212311320101.

1010231132121 is a `hidden beast` number, since 1 + 0 + 10 + 2 + 311 + 321 + 21 = 666.

It is not a de Polignac number, because 1010231132121 - 27 = 1010231131993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010231132094 and 1010231132103.

It is not an unprimeable number, because it can be changed into a prime (1010231132101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 587001541 + ... + 587003261.

It is an arithmetic number, because the mean of its divisors is an integer number (16536985920).

Almost surely, 21010231132121 is an apocalyptic number.

It is an amenable number.

1010231132121 is a deficient number, since it is larger than the sum of its proper divisors (577319516199).

1010231132121 is a wasteful number, since it uses less digits than its factorization.

1010231132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1010231132121 its reverse (1212311320101), we get a palindrome (2222542452222).

The spelling of 1010231132121 in words is "one trillion, ten billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 53 153 159 191 379 477 573 901 1137 1719 1721 2703 3247 3411 5163 6443 8109 9741 10123 15489 19329 20087 29223 29257 30369 57987 60261 72389 87771 91107 91213 172091 180783 217167 263313 273639 328711 341479 516273 651501 652259 820917 986133 1024437 1230613 1548819 1550621 1956777 2958399 3073311 3691839 3836617 4651863 5588087 5870331 11075517 11088403 11509851 13955589 16764261 17421683 33265209 34529553 34569727 50292783 52265049 65222489 99795627 103709181 124581469 156795147 195667467 296168611 311127543 373744407 587002401 587685359 888505833 1121233221 1763056077 2117884973 2665517499 5289168231 6353654919 6602817857 19060964757 19808453571 59425360713 112247903569 336743710707 1010231132121