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120315701133 = 3345719495003
BaseRepresentation
bin111000000001101011…
…1111110011110001101
3102111120000012220001000
41300003113332132031
53432401304414013
6131134451010513
711456351404605
oct1600327763615
9374500186030
10120315701133
1147031093051
121b399599a39
13b465721984
145b75245c05
1531e2a66973
hex1c035fe78d

120315701133 has 32 divisors (see below), whose sum is σ = 178762896000. Its totient is φ = 79977898368.

The previous prime is 120315701113. The next prime is 120315701153. The reversal of 120315701133 is 331107513021.

It is a happy number.

120315701133 is a `hidden beast` number, since 1 + 20 + 31 + 570 + 11 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (120315701113) and next prime (120315701153).

It is not a de Polignac number, because 120315701133 - 28 = 120315700877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120315701097 and 120315701106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120315701113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24046210 + ... + 24051212.

It is an arithmetic number, because the mean of its divisors is an integer number (5586340500).

Almost surely, 2120315701133 is an apocalyptic number.

It is an amenable number.

120315701133 is a deficient number, since it is larger than the sum of its proper divisors (58447194867).

120315701133 is a wasteful number, since it uses less digits than its factorization.

120315701133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 120315701133 in words is "one hundred twenty billion, three hundred fifteen million, seven hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 27 457 1371 1949 4113 5003 5847 12339 15009 17541 45027 52623 135081 890693 2286371 2672079 6859113 8016237 9750847 20577339 24048711 29252541 61732017 87757623 263272869 4456137079 13368411237 40105233711 120315701133