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1230132120 = 233575327631
BaseRepresentation
bin100100101010010…
…0101001110011000
310011201201012000220
41021110211032120
510004403211440
6322022000040
742324644010
oct11124451630
93151635026
101230132120
11581417518
122a3b76020
13167b14639
14b9534c40
1572edd8d0
hex49525398

1230132120 has 128 divisors (see below), whose sum is σ = 4297328640. Its totient is φ = 275857920.

The previous prime is 1230132119. The next prime is 1230132133. The reversal of 1230132120 is 212310321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1230132120.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30705 + ... + 58335.

It is an arithmetic number, because the mean of its divisors is an integer number (33572880).

Almost surely, 21230132120 is an apocalyptic number.

1230132120 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 1230132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148664320).

1230132120 is an abundant number, since it is smaller than the sum of its proper divisors (3067196520).

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

1230132120 is a wasteful number, since it uses less digits than its factorization.

1230132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27705 (or 27701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1230132120 is about 35073.2393713498. The cubic root of 1230132120 is about 1071.4796311413.

Adding to 1230132120 its reverse (212310321), we get a palindrome (1442442441).

The spelling of 1230132120 in words is "one billion, two hundred thirty million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 22260 27631 44520 55262 82893 110524 138155 165786 193417 221048 276310 331572 386834 414465 552620 580251 663144 773668 828930 967085 1105240 1160502 1464443 1547336 1657860 1934170 2321004 2901255 2928886 3315720 3868340 4393329 4642008 5802510 5857772 7322215 7736680 8786658 10251101 11605020 11715544 14644430 17573316 20502202 21966645 23210040 29288860 30753303 35146632 41004404 43933290 51255505 58577720 61506606 82008808 87866580 102511010 123013212 153766515 175733160 205022020 246026424 307533030 410044040 615066060 1230132120