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2134031031400 = 235273146166509
BaseRepresentation
bin11111000011011110001…
…010010101110001101000
321120000022021212201010011
4133003132022111301220
5234430443421001100
64312205455101304
7310115164321402
oct37033612256150
97500267781104
102134031031400
11753045979524
122a570a811834
13126313603b88
1475405469b72
153a79eb95bba
hex1f0de295c68

2134031031400 has 48 divisors (see below), whose sum is σ = 5029589609100. Its totient is φ = 841919086080.

The previous prime is 2134031031343. The next prime is 2134031031403. The reversal of 2134031031400 is 41301304312.

It can be written as a sum of positive squares in 6 ways, for example, as 553866385284 + 1580164646116 = 744222^2 + 1257046^2 .

It is not an unprimeable number, because it can be changed into a prime (2134031031403) 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, 73068655 + ... + 73097854.

Almost surely, 22134031031400 is an apocalyptic number.

2134031031400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134031031400 is an abundant number, since it is smaller than the sum of its proper divisors (2895558577700).

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

2134031031400 is a wasteful number, since it uses less digits than its factorization.

2134031031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146166598 (or 146166589 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2134031031400 its reverse (41301304312), we get a palindrome (2175332335712).

The spelling of 2134031031400 in words is "two trillion, one hundred thirty-four billion, thirty-one million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 146166509 292333018 584666036 730832545 1169332072 1461665090 2923330180 3654162725 5846660360 7308325450 10670155157 14616650900 21340310314 29233301800 42680620628 53350775785 85361241256 106701551570 213403103140 266753878925 426806206280 533507757850 1067015515700 2134031031400