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133401030120 = 23325370558417
BaseRepresentation
bin111110000111101010…
…0100010110111101000
3110202022221120110212100
41330033110202313220
54141201130430440
6141141131013400
712431542022031
oct1741724426750
9422287513770
10133401030120
1151636449426
1221a2b89a260
13c76c69b4a7
146657063a88
15370b721230
hex1f0f522de8

133401030120 has 48 divisors (see below), whose sum is σ = 433553349060. Its totient is φ = 35573607936.

The previous prime is 133401030107. The next prime is 133401030121. The reversal of 133401030120 is 21030104331.

133401030120 is a `hidden beast` number, since 1 + 3 + 340 + 1 + 0 + 301 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128733134436 + 4667895684 = 358794^2 + 68322^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133401030093 and 133401030102.

It is not an unprimeable number, because it can be changed into a prime (133401030121) 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, 185278849 + ... + 185279568.

Almost surely, 2133401030120 is an apocalyptic number.

133401030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133401030120 is an abundant number, since it is smaller than the sum of its proper divisors (300152318940).

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

133401030120 is a wasteful number, since it uses less digits than its factorization.

133401030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370558434 (or 370558427 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133401030120 its reverse (21030104331), we get a palindrome (154431134451).

The spelling of 133401030120 in words is "one hundred thirty-three billion, four hundred one million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 370558417 741116834 1111675251 1482233668 1852792085 2223350502 2964467336 3335025753 3705584170 4446701004 5558376255 6670051506 7411168340 8893402008 11116752510 13340103012 14822336680 16675128765 22233505020 26680206024 33350257530 44467010040 66700515060 133401030120