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114203381292 = 22327111323227607
BaseRepresentation
bin110101001011100001…
…1010100111000101100
3101220210000210212111200
41222113003110320230
53332342031200132
6124244142445500
711152031503260
oct1522703247054
9356700725450
10114203381292
1144484916750
121a172593890
13aa002ba980
14575555a0a0
152e86143d7c
hex1a970d4e2c

114203381292 has 576 divisors, whose sum is σ = 406902472704. Its totient is φ = 26032596480.

The previous prime is 114203381291. The next prime is 114203381297. The reversal of 114203381292 is 292183302411.

114203381292 is a `hidden beast` number, since 1 + 14 + 20 + 338 + 1 + 292 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114203381291) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188143653 + ... + 188144259.

It is an arithmetic number, because the mean of its divisors is an integer number (706427904).

Almost surely, 2114203381292 is an apocalyptic number.

114203381292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114203381292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203451236352).

114203381292 is an abundant number, since it is smaller than the sum of its proper divisors (292699091412).

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

114203381292 is a wasteful number, since it uses less digits than its factorization.

114203381292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 114203381292 in words is "one hundred fourteen billion, two hundred three million, three hundred eighty-one thousand, two hundred ninety-two".