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1100425152 = 26367131653
BaseRepresentation
bin100000110010111…
…0010011111000000
32211200122101112010
41001211302133000
54223202101102
6301105532520
736161313411
oct10145623700
92750571463
101100425152
11515185782
12268644140
13146c9c358
14a620d808
156691bd6c
hex419727c0

1100425152 has 112 divisors (see below), whose sum is σ = 2982114432. Its totient is φ = 358026240.

The previous prime is 1100425121. The next prime is 1100425153. The reversal of 1100425152 is 2515240011.

It is a super-3 number, since 3×11004251523 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100425153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1684858 + ... + 1685510.

Almost surely, 21100425152 is an apocalyptic number.

1100425152 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 1100425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491057216).

1100425152 is an abundant number, since it is smaller than the sum of its proper divisors (1881689280).

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

1100425152 is a wasteful number, since it uses less digits than its factorization.

1100425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1100425152 is about 33172.6566919202. The cubic root of 1100425152 is about 1032.4130910399.

Adding to 1100425152 its reverse (2515240011), we get a palindrome (3615665163).

The spelling of 1100425152 in words is "one billion, one hundred million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 131 134 192 201 262 268 393 402 524 536 653 786 804 1048 1072 1306 1572 1608 1959 2096 2144 2612 3144 3216 3918 4192 4288 5224 6288 6432 7836 8384 8777 10448 12576 12864 15672 17554 20896 25152 26331 31344 35108 41792 43751 52662 62688 70216 85543 87502 105324 125376 131253 140432 171086 175004 210648 256629 262506 280864 342172 350008 421296 513258 525012 561728 684344 700016 842592 1026516 1050024 1368688 1400032 1685184 2053032 2100048 2737376 2800064 4106064 4200096 5474752 5731381 8212128 8400192 11462762 16424256 17194143 22925524 34388286 45851048 68776572 91702096 137553144 183404192 275106288 366808384 550212576 1100425152