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1013031400 = 23525395569
BaseRepresentation
bin111100011000011…
…010000111101000
32121121012022211111
4330120122013220
54033314001100
6244304440104
734050424213
oct7430320750
92547168744
101013031400
1147a914537
12243319034
13131b50784
149878077a
155de076ba
hex3c61a1e8

1013031400 has 48 divisors (see below), whose sum is σ = 2399762700. Its totient is φ = 397562880.

The previous prime is 1013031391. The next prime is 1013031401. The reversal of 1013031400 is 41303101.

It can be written as a sum of positive squares in 6 ways, for example, as 149964516 + 863066884 = 12246^2 + 29378^2 .

It is not an unprimeable number, because it can be changed into a prime (1013031401) 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, 37185 + ... + 58384.

Almost surely, 21013031400 is an apocalyptic number.

1013031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013031400 is an abundant number, since it is smaller than the sum of its proper divisors (1386731300).

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

1013031400 is a wasteful number, since it uses less digits than its factorization.

1013031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95638 (or 95629 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1013031400 is about 31828.1542034721. The cubic root of 1013031400 is about 1004.3250668284.

Adding to 1013031400 its reverse (41303101), we get a palindrome (1054334501).

The spelling of 1013031400 in words is "one billion, thirteen million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 95569 191138 382276 477845 764552 955690 1911380 2389225 3822760 4778450 5065157 9556900 10130314 19113800 20260628 25325785 40521256 50651570 101303140 126628925 202606280 253257850 506515700 1013031400