Search a number
-
+
1031131003212 = 2233223223719139
BaseRepresentation
bin11110000000101000011…
…00100111100101001100
310122120112021220020121000
433000110030213211030
5113343224014100322
62105410043540300
7134332246625232
oct17002414474514
93576467806530
101031131003212
1136833362a422
12147a0b82a690
1376309a780bb
1437c9ab80952
151bc4e7ec3ac
hexf01432794c

1031131003212 has 96 divisors (see below), whose sum is σ = 2686631270400. Its totient is φ = 341998203456.

The previous prime is 1031131003211. The next prime is 1031131003303. The reversal of 1031131003212 is 2123001311301.

1031131003212 is a `hidden beast` number, since 1 + 0 + 31 + 1 + 310 + 0 + 321 + 2 = 666.

It is a super-2 number, since 2×10311310032122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1031131003211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53866339 + ... + 53885477.

It is an arithmetic number, because the mean of its divisors is an integer number (27985742400).

Almost surely, 21031131003212 is an apocalyptic number.

1031131003212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031131003212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343315635200).

1031131003212 is an abundant number, since it is smaller than the sum of its proper divisors (1655500267188).

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

1031131003212 is a wasteful number, since it uses less digits than its factorization.

1031131003212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21612 (or 21604 counting only the distinct ones).

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

Adding to 1031131003212 its reverse (2123001311301), we get a palindrome (3154132314513).

The spelling of 1031131003212 in words is "one trillion, thirty-one billion, one hundred thirty-one million, three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 2007 2237 2676 4014 4474 6021 6711 8028 8948 12042 13422 19139 20133 24084 26844 38278 40266 57417 60399 76556 80532 114834 120798 172251 229668 241596 344502 498851 516753 689004 997702 1033506 1496553 1995404 2067012 2993106 4267997 4489659 5986212 8535994 8979318 12803991 13468977 17071988 17958636 25607982 26937954 38411973 42813943 51215964 53875908 76823946 85627886 115235919 128441829 153647892 171255772 230471838 256883658 385325487 460943676 513767316 770650974 1155976461 1541301948 2311952922 4623905844 9547509289 19095018578 28642527867 38190037156 57285055734 85927583601 114570111468 171855167202 257782750803 343710334404 515565501606 1031131003212