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20305010142252 = 22331123743119973
BaseRepresentation
bin1001001110111101000001…
…11010101010110000101100
32122220010210001212010112000
410213132200322222300230
510130134130044023002
6111103554244012300
74163663036323053
oct447364072526054
978803701763460
1020305010142252
116519340969370
12233b2b6991090
13b439a60b2754
14502aa694139a
152532a730161c
hex1277a0eaac2c

20305010142252 has 96 divisors (see below), whose sum is σ = 59925194703360. Its totient is φ = 5885510178240.

The previous prime is 20305010142227. The next prime is 20305010142257. The reversal of 20305010142252 is 25224101050302.

20305010142252 is a `hidden beast` number, since 2 + 0 + 305 + 0 + 101 + 4 + 2 + 252 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20305010142257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371532663 + ... + 371587310.

It is an arithmetic number, because the mean of its divisors is an integer number (624220778160).

Almost surely, 220305010142252 is an apocalyptic number.

20305010142252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20305010142252 is an abundant number, since it is smaller than the sum of its proper divisors (39620184561108).

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

20305010142252 is a wasteful number, since it uses less digits than its factorization.

20305010142252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743120020 (or 743120012 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 20305010142252 its reverse (25224101050302), we get a palindrome (45529111192554).

The spelling of 20305010142252 in words is "twenty trillion, three hundred five billion, ten million, one hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 3036 4554 6831 9108 13662 27324 743119973 1486239946 2229359919 2972479892 4458719838 6688079757 8174319703 8917439676 13376159514 16348639406 17091759379 20064239271 24522959109 26752319028 32697278812 34183518758 40128478542 49045918218 51275278137 68367037516 73568877327 80256957084 98091836436 102550556274 147137754654 153825834411 188009353169 205101112548 220706631981 294275509308 307651668822 376018706338 441413263962 461477503233 564028059507 615303337644 752037412676 882826527924 922955006466 1128056119014 1692084178521 1845910012932 2256112238028 3384168357042 5076252535563 6768336714084 10152505071126 20305010142252