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21311123021000 = 2353671033088121
BaseRepresentation
bin1001101100001111000011…
…11010101101110011001000
32210110022201210201222012122
410312013201322231303020
510243130134443133000
6113154110022430412
74326451331562041
oct466074172556310
983408653658178
1021311123021000
116876aa640256a
1224822a3b92408
13bb78269497b7
1453966cb7b8c8
1526e54054b085
hex1361e1eadcc8

21311123021000 has 128 divisors (see below), whose sum is σ = 51103725154560. Its totient is φ = 8315689536000.

The previous prime is 21311123020987. The next prime is 21311123021051. The reversal of 21311123021000 is 12032111312.

It is a self number, because there is not a number n which added to its sum of digits gives 21311123021000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5356940 + ... + 8445060.

It is an arithmetic number, because the mean of its divisors is an integer number (399247852770).

Almost surely, 221311123021000 is an apocalyptic number.

21311123021000 is a gapful number since it is divisible by the number (20) 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 21311123021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25551862577280).

21311123021000 is an abundant number, since it is smaller than the sum of its proper divisors (29792602133560).

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

21311123021000 is a wasteful number, since it uses less digits than its factorization.

21311123021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088312 (or 3088298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21311123021000 its reverse (12032111312), we get a palindrome (21323155132312).

The spelling of 21311123021000 in words is "twenty-one trillion, three hundred eleven billion, one hundred twenty-three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 103 125 134 200 206 250 268 335 412 500 515 536 670 824 1000 1030 1340 1675 2060 2575 2680 3350 4120 5150 6700 6901 8375 10300 12875 13400 13802 16750 20600 25750 27604 33500 34505 51500 55208 67000 69010 103000 138020 172525 276040 345050 690100 862625 1380200 1725250 3088121 3450500 6176242 6901000 12352484 15440605 24704968 30881210 61762420 77203025 123524840 154406050 206904107 308812100 318076463 386015125 413808214 617624200 636152926 772030250 827616428 1034520535 1272305852 1544060500 1590382315 1655232856 2069041070 2544611704 3088121000 3180764630 4138082140 5172602675 6361529260 7951911575 8276164280 10345205350 12723058520 15903823150 20690410700 21311123021 25863013375 31807646300 39759557875 41380821400 42622246042 51726026750 63615292600 79519115750 85244492084 103452053500 106555615105 159038231500 170488984168 206904107000 213111230210 318076463000 426222460420 532778075525 852444920840 1065556151050 2131112302100 2663890377625 4262224604200 5327780755250 10655561510500 21311123021000