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21020011130320 = 2451719813467923
BaseRepresentation
bin1001100011110000110100…
…10010111110110111010000
32202102111022201100200022121
410301320122102332313100
510223342440322132240
6112412243152344024
74266434320412506
oct461703222766720
982374281320277
1021020011130320
11677459a324364
12243599b245014
13b96242353397
14529534246676
15266ba331604a
hex131e1a4bedd0

21020011130320 has 80 divisors (see below), whose sum is σ = 54469812191040. Its totient is φ = 7496920369152.

The previous prime is 21020011130311. The next prime is 21020011130329. The reversal of 21020011130320 is 2303111002012.

It is an interprime number because it is at equal distance from previous prime (21020011130311) and next prime (21020011130329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21020011130294 and 21020011130303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020011130329) 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, 406708122 + ... + 406759801.

It is an arithmetic number, because the mean of its divisors is an integer number (680872652388).

Almost surely, 221020011130320 is an apocalyptic number.

21020011130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020011130320 is an abundant number, since it is smaller than the sum of its proper divisors (33449801060720).

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

21020011130320 is a wasteful number, since it uses less digits than its factorization.

21020011130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813467972 (or 813467966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21020011130320 its reverse (2303111002012), we get a palindrome (23323122132332).

The spelling of 21020011130320 in words is "twenty-one trillion, twenty billion, eleven million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 12920 25840 813467923 1626935846 3253871692 4067339615 6507743384 8134679230 13015486768 13828954691 15455890537 16269358460 27657909382 30911781074 32538716920 55315818764 61823562148 65077433840 69144773455 77279452685 110631637528 123647124296 138289546910 154558905370 221263275056 247294248592 262750139129 276579093820 309117810740 525500278258 553158187640 618235621480 1051000556516 1106316375280 1236471242960 1313750695645 2102001113032 2627501391290 4204002226064 5255002782580 10510005565160 21020011130320