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1020020210112 = 26317930679677
BaseRepresentation
bin11101101011111011111…
…00010011100111000000
310121111211221222110210110
432311331330103213000
5113203000133210422
62100331341031320
7133460023505361
oct16657574234700
93544757873713
101020020210112
113636518a9092
1214582a855540
1375258bcb407
14375252adb68
151b7ee17560c
hexed7df139c0

1020020210112 has 112 divisors (see below), whose sum is σ = 2715045989760. Its totient is φ = 337962089472.

The previous prime is 1020020210081. The next prime is 1020020210117. The reversal of 1020020210112 is 2110120200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105401818 + ... + 105411494.

Almost surely, 21020020210112 is an apocalyptic number.

1020020210112 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 1020020210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357522994880).

1020020210112 is an abundant number, since it is smaller than the sum of its proper divisors (1695025779648).

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

1020020210112 is a wasteful number, since it uses less digits than its factorization.

1020020210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938 (or 12928 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020020210112 its reverse (2110120200201), we get a palindrome (3130140410313).

The spelling of 1020020210112 in words is "one trillion, twenty billion, twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 3067 4296 5728 6134 8592 9201 9677 11456 12268 17184 18402 19354 24536 29031 34368 36804 38708 49072 58062 73608 77416 98144 116124 147216 154832 196288 232248 294432 309664 464496 548993 588864 619328 928992 1097986 1646979 1732183 1857984 2195972 3293958 3464366 4391944 5196549 6587916 6928732 8783888 10393098 13175832 13857464 17567776 20786196 26351664 27714928 29679359 35135552 41572392 52703328 55429856 59358718 83144784 89038077 105406656 110859712 118717436 166289568 178076154 237434872 332579136 356152308 474869744 712304616 949739488 1424609232 1899478976 2849218464 5312605261 5698436928 10625210522 15937815783 21250421044 31875631566 42500842088 63751263132 85001684176 127502526264 170003368352 255005052528 340006736704 510010105056 1020020210112