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2130033000 = 233531937369
BaseRepresentation
bin111111011110101…
…1011100101101000
312111110000212222010
41332331123211220
513330242024000
6551205555520
7103532660514
oct17675334550
95443025863
102130033000
119a3391357
124b5415ba0
1327c3a4b74
14162c67144
15c6eead50
hex7ef5b968

2130033000 has 128 divisors (see below), whose sum is σ = 6995664000. Its totient is φ = 538099200.

The previous prime is 2130032987. The next prime is 2130033001. The reversal of 2130033000 is 3300312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2130033001) 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, 38316 + ... + 75684.

It is an arithmetic number, because the mean of its divisors is an integer number (54653625).

Almost surely, 22130033000 is an apocalyptic number.

2130033000 is a gapful number since it is divisible by the number (20) 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 2130033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497832000).

2130033000 is an abundant number, since it is smaller than the sum of its proper divisors (4865631000).

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

2130033000 is a wasteful number, since it uses less digits than its factorization.

2130033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37412 (or 37398 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2130033000 is about 46152.2805503693. The cubic root of 2130033000 is about 1286.6549958523.

Adding to 2130033000 its reverse (3300312), we get a palindrome (2133333312).

The spelling of 2130033000 in words is "two billion, one hundred thirty million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 37369 57000 74738 112107 149476 186845 224214 298952 373690 448428 560535 710011 747380 896856 934225 1121070 1420022 1494760 1868450 2130033 2242140 2802675 2840044 3550055 3736900 4260066 4484280 4671125 5605350 5680088 7100110 7473800 8520132 9342250 10650165 11210700 14013375 14200220 17040264 17750275 18684500 21300330 22421400 28026750 28400440 35500550 37369000 42600660 53250825 56053500 71001100 85201320 88751375 106501650 112107000 142002200 177502750 213003300 266254125 355005500 426006600 532508250 710011000 1065016500 2130033000