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4330142100 = 2232524811269
BaseRepresentation
bin1000000100001100…
…01011100110010100
3102011202221000021100
410002012023212110
532332004021400
61553401550100
7212206412664
oct40206134624
912152830240
104330142100
111922285939
12a0a1a5330
1354014407b
142d11321a4
151a523a100
hex10218b994

4330142100 has 54 divisors (see below), whose sum is σ = 13572592670. Its totient is φ = 1154704320.

The previous prime is 4330142099. The next prime is 4330142137. The reversal of 4330142100 is 12410334.

It can be written as a sum of positive squares in 3 ways, for example, as 4186116 + 4325955984 = 2046^2 + 65772^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2404735 + ... + 2406534.

Almost surely, 24330142100 is an apocalyptic number.

It is an amenable number.

4330142100 is an abundant number, since it is smaller than the sum of its proper divisors (9242450570).

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

4330142100 is a wasteful number, since it uses less digits than its factorization.

4330142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811289 (or 4811279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4330142100 is about 65803.8152389358. The cubic root of 4330142100 is about 1629.9241060176.

Adding to 4330142100 its reverse (12410334), we get a palindrome (4342552434).

The spelling of 4330142100 in words is "four billion, three hundred thirty million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4811269 9622538 14433807 19245076 24056345 28867614 43301421 48112690 57735228 72169035 86602842 96225380 120281725 144338070 173205684 216507105 240563450 288676140 360845175 433014210 481126900 721690350 866028420 1082535525 1443380700 2165071050 4330142100