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20020300113312 = 2532147397471617
BaseRepresentation
bin1001000110101010101101…
…11000000110010110100000
32121212220220010201002222100
410203111112320012112200
510111003033312111222
6110325110544010400
74134263462106462
oct443252670062640
977786803632870
1020020300113312
11641961a538694
1222b409a000a00
13b22ba1bc8bc5
144d2db8346132
1524ab921344ac
hex123556e065a0

20020300113312 has 72 divisors (see below), whose sum is σ = 56933235420516. Its totient is φ = 6673373945856.

The previous prime is 20020300113269. The next prime is 20020300113323. The reversal of 20020300113312 is 21331100302002.

20020300113312 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 300 + 11 + 331 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17935868725776 + 2084431387536 = 4235076^2 + 1443756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42214528 + ... + 42686144.

Almost surely, 220020300113312 is an apocalyptic number.

It is an amenable number.

20020300113312 is an abundant number, since it is smaller than the sum of its proper divisors (36912935307204).

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

20020300113312 is a wasteful number, since it uses less digits than its factorization.

20020300113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619030 (or 619019 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20020300113312 its reverse (21331100302002), we get a palindrome (41351400415314).

The spelling of 20020300113312 in words is "twenty trillion, twenty billion, three hundred million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 147397 294794 442191 471617 589588 884382 943234 1179176 1326573 1414851 1768764 1886468 2358352 2653146 2829702 3537528 3772936 4244553 4716704 5306292 5659404 7075056 7545872 8489106 10612584 11318808 14150112 15091744 16978212 21225168 22637616 33956424 42450336 45275232 67912848 135825696 69514930949 139029861898 208544792847 278059723796 417089585694 556119447592 625634378541 834179171388 1112238895184 1251268757082 1668358342776 2224477790368 2502537514164 3336716685552 5005075028328 6673433371104 10010150056656 20020300113312