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2032123100 = 2252722291811
BaseRepresentation
bin111100100011111…
…1011110011011100
312020121210112211112
41321013323303130
513130210414400
6533351241152
7101233522100
oct17107736334
95217715745
102032123100
11953098187
124886791b8
13265013807
14153c5b900
15bd60a835
hex791fbcdc

2032123100 has 108 divisors (see below), whose sum is σ = 5154904440. Its totient is φ = 693302400.

The previous prime is 2032123087. The next prime is 2032123103. The reversal of 2032123100 is 13212302.

It is a happy number.

It is a super-2 number, since 2×20321231002 = 8259048587107220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032123103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1121195 + ... + 1123005.

Almost surely, 22032123100 is an apocalyptic number.

2032123100 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 2032123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577452220).

2032123100 is an abundant number, since it is smaller than the sum of its proper divisors (3122781340).

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

2032123100 is a wasteful number, since it uses less digits than its factorization.

2032123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2032123100 is about 45079.0760774885. The cubic root of 2032123100 is about 1266.6306830344.

Adding to 2032123100 its reverse (13212302), we get a palindrome (2045335402).

The spelling of 2032123100 in words is "two billion, thirty-two million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 229 245 350 458 490 700 916 980 1145 1225 1603 1811 2290 2450 3206 3622 4580 4900 5725 6412 7244 8015 9055 11221 11450 12677 16030 18110 22442 22900 25354 32060 36220 40075 44884 45275 50708 56105 63385 80150 88739 90550 112210 126770 160300 177478 181100 224420 253540 280525 316925 354956 414719 443695 561050 633850 829438 887390 1122100 1267700 1658876 1774780 2073595 2218475 2903033 4147190 4436950 5806066 8294380 8873900 10367975 11612132 14515165 20321231 20735950 29030330 40642462 41471900 58060660 72575825 81284924 101606155 145151650 203212310 290303300 406424620 508030775 1016061550 2032123100