Search a number
-
+
2303312010020 = 2257312931811321
BaseRepresentation
bin100001100001001000000…
…110000001101100100100
322011012020202220102022222
4201201020012001230210
5300214140333310040
64522043230011512
7325260135023330
oct41411006015444
98135222812288
102303312010020
1180891364524a
12312492646b98
131392805bba08
147d6a38167c0
153edab312bb5
hex21848181b24

2303312010020 has 96 divisors (see below), whose sum is σ = 5725748238336. Its totient is φ = 761623833600.

The previous prime is 2303312009981. The next prime is 2303312010079. The reversal of 2303312010020 is 200102133032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365960 + ... + 2177280.

It is an arithmetic number, because the mean of its divisors is an integer number (59643210816).

Almost surely, 22303312010020 is an apocalyptic number.

2303312010020 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 2303312010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862874119168).

2303312010020 is an abundant number, since it is smaller than the sum of its proper divisors (3422436228316).

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

2303312010020 is a wasteful number, since it uses less digits than its factorization.

2303312010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811661 (or 1811659 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2303312010020 its reverse (200102133032), we get a palindrome (2503414143052).

The spelling of 2303312010020 in words is "two trillion, three hundred three billion, three hundred twelve million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 293 310 434 586 620 868 1085 1172 1465 2051 2170 2930 4102 4340 5860 8204 9083 10255 18166 20510 36332 41020 45415 63581 90830 127162 181660 254324 317905 635810 1271620 1811321 3622642 7245284 9056605 12679247 18113210 25358494 36226420 50716988 56150951 63396235 112301902 126792470 224603804 253584940 280754755 393056657 530717053 561509510 786113314 1061434106 1123019020 1572226628 1965283285 2122868212 2653585265 3715019371 3930566570 5307170530 7430038742 7861133140 10614341060 14860077484 16452228643 18575096855 32904457286 37150193710 65808914572 74300387420 82261143215 115165600501 164522286430 230331201002 329044572860 460662402004 575828002505 1151656005010 2303312010020