Search a number
-
+
20300292730000 = 24548812304233
BaseRepresentation
bin1001001110110100001111…
…01111001010110010010000
32122212200121022012202110201
410213122013233022302100
510130044444414330000
6111101454205304544
74163435115064423
oct447320757126220
978780538182421
1020300292730000
116517340022758
12233a3bab65154
13b4340396635a
1450277a1dd9ba
152530cd0b996a
hex127687bcac90

20300292730000 has 100 divisors (see below), whose sum is σ = 49204847867868. Its totient is φ = 8110896640000.

The previous prime is 20300292729931. The next prime is 20300292730009. The reversal of 20300292730000 is 3729200302.

It can be written as a sum of positive squares in 10 ways, for example, as 19619548924816 + 680743805184 = 4429396^2 + 825072^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (20300292730009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7657884 + ... + 9962116.

Almost surely, 220300292730000 is an apocalyptic number.

20300292730000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300292730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24602423933934).

20300292730000 is an abundant number, since it is smaller than the sum of its proper divisors (28904555137868).

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

20300292730000 is an equidigital number, since it uses as much as digits as its factorization.

20300292730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305142 (or 2305121 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 20300292730000 in words is "twenty trillion, three hundred billion, two hundred ninety-two million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 881 1000 1250 1762 2000 2500 3524 4405 5000 7048 8810 10000 14096 17620 22025 35240 44050 70480 88100 110125 176200 220250 352400 440500 550625 881000 1101250 1762000 2202500 2304233 4405000 4608466 8810000 9216932 11521165 18433864 23042330 36867728 46084660 57605825 92169320 115211650 184338640 230423300 288029125 460846600 576058250 921693200 1152116500 1440145625 2030029273 2304233000 2880291250 4060058546 4608466000 5760582500 8120117092 10150146365 11521165000 16240234184 20300292730 23042330000 32480468368 40600585460 50750731825 81201170920 101501463650 162402341840 203002927300 253753659125 406005854600 507507318250 812011709200 1015014636500 1268768295625 2030029273000 2537536591250 4060058546000 5075073182500 10150146365000 20300292730000