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4130323002 = 23613359607
BaseRepresentation
bin1111011000101111…
…1011101000111010
3101122211221011000000
43312023323220322
531424330314002
61521503053430
7204232111011
oct36613735072
911584834000
104130323002
11182a506893
129732a1276
1350a921210
142b2799a78
1519291961c
hexf62fba3a

4130323002 has 112 divisors (see below), whose sum is σ = 10047905280. Its totient is φ = 1265240736.

The previous prime is 4130322997. The next prime is 4130323007. The reversal of 4130323002 is 2003230314.

It is an interprime number because it is at equal distance from previous prime (4130322997) and next prime (4130323007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130323007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6804183 + ... + 6804789.

It is an arithmetic number, because the mean of its divisors is an integer number (89713440).

Almost surely, 24130323002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130323002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023952640).

4130323002 is an abundant number, since it is smaller than the sum of its proper divisors (5917582278).

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

4130323002 is a wasteful number, since it uses less digits than its factorization.

4130323002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4130323002 is about 64267.5890476685. The cubic root of 4130323002 is about 1604.4567154141.

Adding to 4130323002 its reverse (2003230314), we get a palindrome (6133553316).

The spelling of 4130323002 in words is "four billion, one hundred thirty million, three hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 359 486 607 702 718 729 1053 1077 1214 1458 1821 2106 2154 3159 3231 3642 4667 5463 6318 6462 7891 9334 9477 9693 10926 14001 15782 16389 18954 19386 23673 28002 29079 32778 42003 47346 49167 58158 71019 84006 87237 98334 126009 142038 147501 174474 213057 217913 252018 261711 295002 378027 426114 435826 442503 523422 639171 653739 756054 885006 1134081 1278342 1307478 1917513 1961217 2268162 2832869 3402243 3835026 3922434 5665738 5752539 5883651 6804486 8498607 11505078 11767302 16997214 17650953 25495821 35301906 50991642 52952859 76487463 105905718 152974926 158858577 229462389 317717154 458924778 688387167 1376774334 2065161501 4130323002