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1031012012212 = 2271359367130811
BaseRepresentation
bin11110000000011010001…
…10101101000010110100
310122120012222222212121221
433000031012231002310
5113343003033342322
62105350153320124
7134326303335550
oct17001506550264
93576188885557
101031012012212
11368282447756
12147997a06044
13762bb215520
1437c89048860
151bc441459c7
hexf00d1ad0b4

1031012012212 has 96 divisors (see below), whose sum is σ = 2264449904640. Its totient is φ = 399864193920.

The previous prime is 1031012012209. The next prime is 1031012012213. The reversal of 1031012012212 is 2122102101301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031012012213) 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, 7816287 + ... + 7947097.

It is an arithmetic number, because the mean of its divisors is an integer number (23588019840).

Almost surely, 21031012012212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031012012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132224952320).

1031012012212 is an abundant number, since it is smaller than the sum of its proper divisors (1233437892428).

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

1031012012212 is a wasteful number, since it uses less digits than its factorization.

1031012012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131261 (or 131259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1031012012212 its reverse (2122102101301), we get a palindrome (3153114113513).

The spelling of 1031012012212 in words is "one trillion, thirty-one billion, twelve million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 182 236 364 367 413 734 767 826 1468 1534 1652 2569 3068 4771 5138 5369 9542 10276 10738 19084 21476 21653 33397 43306 66794 86612 130811 133588 151571 261622 281489 303142 523244 562978 606284 915677 1125956 1700543 1831354 1970423 3401086 3662708 3940846 6802172 7717849 7881692 11903801 15435698 23807602 30871396 47615204 48007637 54024943 96015274 100332037 108049886 192030548 200664074 216099772 336053459 401328148 624099281 672106918 702324259 1248198562 1344213836 1404648518 2496397124 2809297036 2832450583 4368694967 5664901166 8737389934 11329802332 17474779868 19827154081 36821857579 39654308162 73643715158 79308616324 147287430316 257753003053 515506006106 1031012012212