Search a number
-
+
200302213101300 = 223252670133212657
BaseRepresentation
bin101101100010110001111110…
…010000100111011011110100
3222021012201000121220021120100
4231202301332100213123310
5202223222413023220200
61550001322201034100
760122233365303432
oct5542617620473364
9867181017807510
10200302213101300
1158905767478392
121a56bab1a85930
13879c55775848b
143766970a53d52
1518254c0ba6d00
hexb62c7e4276f4

200302213101300 has 108 divisors (see below), whose sum is σ = 627929870877036. Its totient is φ = 53405950848000.

The previous prime is 200302213101293. The next prime is 200302213101301. The reversal of 200302213101300 is 3101312203002.

200302213101300 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 0 + 221 + 310 + 130 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2323636825104 + 197978576276196 = 1524348^2 + 14070486^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200302213101301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10575429 + ... + 22637228.

Almost surely, 2200302213101300 is an apocalyptic number.

200302213101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200302213101300 is an abundant number, since it is smaller than the sum of its proper divisors (427627657775736).

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

200302213101300 is a wasteful number, since it uses less digits than its factorization.

200302213101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33219378 (or 33219368 counting only the distinct ones).

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

Adding to 200302213101300 its reverse (3101312203002), we get a palindrome (203403525304302).

The spelling of 200302213101300 in words is "two hundred trillion, three hundred two billion, two hundred thirteen million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 6701 13402 20103 26804 33505 40206 60309 67010 80412 100515 120618 134020 167525 201030 241236 301545 335050 402060 502575 603090 670100 1005150 1206180 1507725 2010300 3015450 6030900 33212657 66425314 99637971 132850628 166063285 199275942 298913913 332126570 398551884 498189855 597827826 664253140 830316425 996379710 1195655652 1494569565 1660632850 1992759420 2490949275 2989139130 3321265700 4981898550 5978278260 7472847825 9963797100 14945695650 29891391300 222558014557 445116029114 667674043671 890232058228 1112790072785 1335348087342 2003022131013 2225580145570 2670696174684 3338370218355 4006044262026 4451160291140 5563950363925 6676740436710 8012088524052 10015110655065 11127900727850 13353480873420 16691851091775 20030221310130 22255801455700 33383702183550 40060442620260 50075553275325 66767404367100 100151106550650 200302213101300