Search a number
-
+
2301381632200 = 235271643844023
BaseRepresentation
bin100001011111010101000…
…010001110000011001000
322011000021020120001210011
4201133111002032003020
5300201212144212300
64521123511201304
7325161245052550
oct41372502160310
98130236501704
102301381632200
11808012a30882
12312034076234
131390336b0211
147d55d2c2160
153ece6b03eba
hex217d508e0c8

2301381632200 has 48 divisors (see below), whose sum is σ = 6115099769280. Its totient is φ = 789045130560.

The previous prime is 2301381632183. The next prime is 2301381632219. The reversal of 2301381632200 is 22361831032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821920612 + ... + 821923411.

It is an arithmetic number, because the mean of its divisors is an integer number (127397911860).

Almost surely, 22301381632200 is an apocalyptic number.

2301381632200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301381632200 is an abundant number, since it is smaller than the sum of its proper divisors (3813718137080).

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

2301381632200 is a wasteful number, since it uses less digits than its factorization.

2301381632200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643844046 (or 1643844037 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 2301381632200 in words is "two trillion, three hundred one billion, three hundred eighty-one million, six hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1643844023 3287688046 6575376092 8219220115 11506908161 13150752184 16438440230 23013816322 32876880460 41096100575 46027632644 57534540805 65753760920 82192201150 92055265288 115069081610 164384402300 230138163220 287672704025 328768804600 460276326440 575345408050 1150690816100 2301381632200