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20403051013242 = 23629034820483
BaseRepresentation
bin1001010001110011101001…
…00110111010010001111010
32200020111211201001102000000
410220321310212322101322
510133240422024410432
6111221010544053430
74204033424063142
oct450716446722172
980214751042000
1020403051013242
116556981432887
1223562b8604276
13b4cccba57c51
14507727705922
15255ae454d57c
hex128e749ba47a

20403051013242 has 56 divisors (see below), whose sum is σ = 45901689872544. Its totient is φ = 6798672839304.

The previous prime is 20403051013229. The next prime is 20403051013277. The reversal of 20403051013242 is 24231015030402.

20403051013242 is a `hidden beast` number, since 2 + 0 + 403 + 0 + 5 + 1 + 0 + 13 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 1822333 + ... + 6642815.

Almost surely, 220403051013242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20403051013242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22950844936272).

20403051013242 is an abundant number, since it is smaller than the sum of its proper divisors (25498638859302).

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

20403051013242 is an equidigital number, since it uses as much as digits as its factorization.

20403051013242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823406 (or 4823391 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20403051013242 its reverse (24231015030402), we get a palindrome (44634066043644).

The spelling of 20403051013242 in words is "twenty trillion, four hundred three billion, fifty-one million, thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2903 5806 8709 17418 26127 52254 78381 156762 235143 470286 705429 1410858 2116287 4232574 4820483 9640966 14461449 28922898 43384347 86768694 130153041 260306082 390459123 780918246 1171377369 2342754738 3514132107 7028264214 13993862149 27987724298 41981586447 83963172894 125944759341 251889518682 377834278023 755668556046 1133502834069 2267005668138 3400508502207 6801017004414 10201525506621 20403051013242