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1020020122096 = 241937745712161
BaseRepresentation
bin11101101011111011110…
…11111110000111110000
310121111211221211000001121
432311331323332013300
5113203000122401341
62100331335112024
7133460022660643
oct16657573760760
93544757730047
101020020122096
11363651848a48
1214582a812614
1375258b9a331
1437525289a5a
151b7ee1594d1
hexed7defe1f0

1020020122096 has 80 divisors (see below), whose sum is σ = 2136990857760. Its totient is φ = 470007152640.

The previous prime is 1020020122073. The next prime is 1020020122123. The reversal of 1020020122096 is 6902210200201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020020122096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83870256 + ... + 83882416.

It is an arithmetic number, because the mean of its divisors is an integer number (26712385722).

Almost surely, 21020020122096 is an apocalyptic number.

1020020122096 is a gapful number since it is divisible by the number (16) 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 1020020122096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068495428880).

1020020122096 is an abundant number, since it is smaller than the sum of its proper divisors (1116970735664).

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

1020020122096 is a wasteful number, since it uses less digits than its factorization.

1020020122096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19682 (or 19676 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1020020122096 its reverse (6902210200201), we get a palindrome (7922230322297).

The spelling of 1020020122096 in words is "one trillion, twenty billion, twenty million, one hundred twenty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 592 703 1406 2812 5624 7457 11248 12161 14914 24322 29828 48644 59656 97288 119312 141683 194576 231059 275909 283366 449957 462118 551818 566732 899914 924236 1103636 1133464 1799828 1848472 2207272 2266928 3599656 3696944 4414544 5242271 7199312 8549183 10484542 17098366 20969084 34196732 41938168 68393464 83876336 90684577 136786928 181369154 362738308 725476616 1450953232 1723006963 3355329349 3446013926 6710658698 6892027852 13421317396 13784055704 26842634792 27568111408 53685269584 63751257631 127502515262 255005030524 510010061048 1020020122096