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1012322111020 = 2251183197328099
BaseRepresentation
bin11101011101100110001…
…10011000111000101100
310120202222110122112002021
432232303012120320230
5113041213430023040
62053015424035524
7133065166652653
oct16566306307054
93522873575067
101012322111020
11360361493320
12144240762ba4
13746000a03ac
1436dd4b5219a
151b4ed41224a
hexebb3198e2c

1012322111020 has 96 divisors (see below), whose sum is σ = 2348352518400. Its totient is φ = 363484719360.

The previous prime is 1012322111011. The next prime is 1012322111051. The reversal of 1012322111020 is 201112232101.

It is a junction number, because it is equal to n+sod(n) for n = 1012322110985 and 1012322111003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36012931 + ... + 36041029.

It is an arithmetic number, because the mean of its divisors is an integer number (24462005400).

Almost surely, 21012322111020 is an apocalyptic number.

1012322111020 is a gapful number since it is divisible by the number (10) 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 1012322111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174176259200).

1012322111020 is an abundant number, since it is smaller than the sum of its proper divisors (1336030407380).

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

1012322111020 is a wasteful number, since it uses less digits than its factorization.

1012322111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30175 (or 30173 counting only the distinct ones).

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

Adding to 1012322111020 its reverse (201112232101), we get a palindrome (1213434343121).

The spelling of 1012322111020 in words is "one trillion, twelve billion, three hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 1973 3652 3946 4565 7892 9130 9865 18260 19730 21703 28099 39460 43406 56198 86812 108515 112396 140495 163759 217030 280990 309089 327518 434060 561980 618178 655036 818795 1236356 1545445 1637590 1801349 2332217 3090890 3275180 3602698 4664434 6181780 7205396 9006745 9328868 11661085 18013490 23322170 25654387 36026980 46644340 51308774 55439327 102617548 110878654 128271935 221757308 256543870 277196635 513087740 554393270 609832597 1108786540 1219665194 2439330388 3049162985 4601464141 6098325970 9202928282 12196651940 18405856564 23007320705 46014641410 50616105551 92029282820 101232211102 202464422204 253080527755 506161055510 1012322111020