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1023140143120 = 24512789251789
BaseRepresentation
bin11101110001101111110…
…01111010000000010000
310121210220101200111021211
432320313321322000100
5113230342334034440
62102005112025504
7133630236503104
oct16706771720020
93553811614254
101023140143120
11364a02a34a17
1214635b692294
13756353b5214
143773d7b5904
151b933009eea
hexee37e7a010

1023140143120 has 20 divisors (see below), whose sum is σ = 2378800832940. Its totient is φ = 409256057216.

The previous prime is 1023140143111. The next prime is 1023140143147. The reversal of 1023140143120 is 213410413201.

1023140143120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 219413549056 + 803726594064 = 468416^2 + 896508^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10231401431202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023140143091 and 1023140143100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6394625815 + ... + 6394625974.

It is an arithmetic number, because the mean of its divisors is an integer number (118940041647).

Almost surely, 21023140143120 is an apocalyptic number.

1023140143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023140143120 is an abundant number, since it is smaller than the sum of its proper divisors (1355660689820).

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

1023140143120 is a wasteful number, since it uses less digits than its factorization.

1023140143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12789251802 (or 12789251796 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1023140143120 its reverse (213410413201), we get a palindrome (1236550556321).

The spelling of 1023140143120 in words is "one trillion, twenty-three billion, one hundred forty million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12789251789 25578503578 51157007156 63946258945 102314014312 127892517890 204628028624 255785035780 511570071560 1023140143120