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20203021103202 = 2327672235115193
BaseRepresentation
bin1001001011111111000011…
…11001010111000001100010
32122112101112021111010122100
410211333201321113001202
510122001241400300302
6110545050104551230
74153422460643640
oct445774171270142
978471467433570
1020203021103202
11648a0647a2843
122323592a82516
13b371a1495a32
144dbb8d67a190
152507d866bd1c
hex125fe1e57062

20203021103202 has 144 divisors (see below), whose sum is σ = 50809282497792. Its totient is φ = 5683345430400.

The previous prime is 20203021103197. The next prime is 20203021103231. The reversal of 20203021103202 is 20230112030202.

20203021103202 is a `hidden beast` number, since 20 + 20 + 302 + 1 + 1 + 0 + 320 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 1329750918 + ... + 1329766110.

It is an arithmetic number, because the mean of its divisors is an integer number (352842239568).

Almost surely, 220203021103202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20203021103202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25404641248896).

20203021103202 is an abundant number, since it is smaller than the sum of its proper divisors (30606261394590).

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

20203021103202 is a wasteful number, since it uses less digits than its factorization.

20203021103202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17693 (or 17623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20203021103202 its reverse (20230112030202), we get a palindrome (40433133133404).

The spelling of 20203021103202 in words is "twenty trillion, two hundred three billion, twenty-one million, one hundred three thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2351 2814 4221 4489 4702 7053 8442 8978 13467 14106 15193 16457 21159 26934 30386 31423 32914 40401 42318 45579 49371 62846 80802 91158 94269 98742 106351 136737 148113 157517 188538 212702 273474 282807 296226 315034 319053 472551 565614 638106 945102 957159 1017931 1102619 1417653 1914318 2035862 2205238 2835306 3053793 3307857 6107586 6615714 7125517 9161379 9923571 10553639 14251034 18322758 19847142 21107278 21376551 31660917 35718743 42753102 63321834 64129653 68201377 71437486 73875473 94982751 107156229 128259306 136402754 147750946 189965502 204604131 214312458 221626419 250031201 321468687 409208262 443252838 477409639 500062402 613812393 642937374 664879257 750093603 954819278 1227624786 1329758514 1432228917 1500187206 2250280809 2393155781 2864457834 4296686751 4500561618 4786311562 7179467343 8593373502 14358934686 16752090467 21538402029 33504180934 43076804058 50256271401 100512542802 150768814203 160341437327 301537628406 320682874654 481024311981 962048623962 1122390061289 1443072935943 2244780122578 2886145871886 3367170183867 6734340367734 10101510551601 20203021103202