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1129493100 = 2235210137277
BaseRepresentation
bin100001101010010…
…1011001001101100
32220201100012020210
41003110223021230
54303122234400
6304024542420
736663350541
oct10324531154
92821305223
101129493100
1152a62997a
12276321a10
13150009018
14aa018bc8
156925e950
hex4352b26c

1129493100 has 72 divisors (see below), whose sum is σ = 3300445008. Its totient is φ = 298208000.

The previous prime is 1129493069. The next prime is 1129493119. The reversal of 1129493100 is 13949211.

It is a super-2 number, since 2×11294931002 = 2551509325895220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11662 + ... + 48938.

It is an arithmetic number, because the mean of its divisors is an integer number (45839514).

Almost surely, 21129493100 is an apocalyptic number.

1129493100 is a gapful number since it is divisible by the number (10) 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 1129493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650222504).

1129493100 is an abundant number, since it is smaller than the sum of its proper divisors (2170951908).

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

1129493100 is a wasteful number, since it uses less digits than its factorization.

1129493100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37395 (or 37388 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1129493100 is about 33607.9320994315. The cubic root of 1129493100 is about 1041.4246685482.

The spelling of 1129493100 in words is "one billion, one hundred twenty-nine million, four hundred ninety-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 37277 74554 111831 149108 186385 223662 372770 447324 559155 745540 931925 1118310 1863850 2236620 2795775 3727700 3764977 5591550 7529954 11183100 11294931 15059908 18824885 22589862 37649770 45179724 56474655 75299540 94124425 112949310 188248850 225898620 282373275 376497700 564746550 1129493100