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1203406112 = 253110112011
BaseRepresentation
bin100011110111010…
…1000010100100000
310002212102100211202
41013232220110200
54431032443422
6315225100332
741551532426
oct10756502440
93085370752
101203406112
11568322907
122970276a8
1316241792c
14b5b79116
15709aeb92
hex47ba8520

1203406112 has 48 divisors (see below), whose sum is σ = 2470051584. Its totient is φ = 576480000.

The previous prime is 1203406091. The next prime is 1203406159. The reversal of 1203406112 is 2116043021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94187 + ... + 106197.

It is an arithmetic number, because the mean of its divisors is an integer number (51459408).

Almost surely, 21203406112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1203406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235025792).

1203406112 is an abundant number, since it is smaller than the sum of its proper divisors (1266645472).

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

1203406112 is a wasteful number, since it uses less digits than its factorization.

1203406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12153 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1203406112 is about 34690.1443064165. The cubic root of 1203406112 is about 1063.6630455438.

Adding to 1203406112 its reverse (2116043021), we get a palindrome (3319449133).

The spelling of 1203406112 in words is "one billion, two hundred three million, four hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 101 124 202 248 404 496 808 992 1616 3131 3232 6262 12011 12524 24022 25048 48044 50096 96088 100192 192176 372341 384352 744682 1213111 1489364 2426222 2978728 4852444 5957456 9704888 11914912 19409776 37606441 38819552 75212882 150425764 300851528 601703056 1203406112