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1012341400 = 23527723101
BaseRepresentation
bin111100010101110…
…001101010011000
32121112220021022221
4330111301222120
54033124411100
6244241553424
734041521440
oct7425615230
92545807287
101012341400
1147a493094
12243045874
1313196b6a5
1498641120
155dd1d01a
hex3c571a98

1012341400 has 48 divisors (see below), whose sum is σ = 2689939440. Its totient is φ = 347088000.

The previous prime is 1012341397. The next prime is 1012341401. The reversal of 1012341400 is 41432101.

1012341400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10123414002 = 2049670220307920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012341401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360151 + ... + 362950.

It is an arithmetic number, because the mean of its divisors is an integer number (56040405).

Almost surely, 21012341400 is an apocalyptic number.

1012341400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012341400 is an abundant number, since it is smaller than the sum of its proper divisors (1677598040).

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

1012341400 is a wasteful number, since it uses less digits than its factorization.

1012341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723124 (or 723115 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1012341400 is about 31817.3128972263. The cubic root of 1012341400 is about 1004.0969917356.

Adding to 1012341400 its reverse (41432101), we get a palindrome (1053773501).

The spelling of 1012341400 in words is "one billion, twelve million, three hundred forty-one thousand, four 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 723101 1446202 2892404 3615505 5061707 5784808 7231010 10123414 14462020 18077525 20246828 25308535 28924040 36155050 40493656 50617070 72310100 101234140 126542675 144620200 202468280 253085350 506170700 1012341400