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3322130130 = 2325117014787
BaseRepresentation
bin1100011000000011…
…1010111011010010
322120112011200210200
43012000322323102
523300431131010
61305352440030
7145216432404
oct30600727322
98515150720
103322130130
11145528a5a0
127886a9016
1340c360197
142372dab74
151469c4cc0
hexc603aed2

3322130130 has 96 divisors (see below), whose sum is σ = 9438182208. Its totient is φ = 804048000.

The previous prime is 3322130117. The next prime is 3322130131. The reversal of 3322130130 is 310312233.

3322130130 is a `hidden beast` number, since 332 + 2 + 1 + 301 + 30 = 666.

It is a super-2 number, since 2×33221301302 = 22073097201307633800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3322130131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691597 + ... + 696383.

It is an arithmetic number, because the mean of its divisors is an integer number (98314398).

Almost surely, 23322130130 is an apocalyptic number.

3322130130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719091104).

3322130130 is an abundant number, since it is smaller than the sum of its proper divisors (6116052078).

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

3322130130 is a wasteful number, since it uses less digits than its factorization.

3322130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3322130130 is about 57637.9226724905. The cubic root of 3322130130 is about 1492.1261674938.

Adding to 3322130130 its reverse (310312233), we get a palindrome (3632442363).

The spelling of 3322130130 in words is "three billion, three hundred twenty-two million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 701 990 1402 2103 3505 4206 4787 6309 7010 7711 9574 10515 12618 14361 15422 21030 23133 23935 28722 31545 38555 43083 46266 47870 52657 63090 69399 71805 77110 86166 105314 115665 138798 143610 157971 215415 231330 263285 315942 346995 430830 473913 526570 693990 789855 947826 1579710 2369565 3355687 4739130 6711374 10067061 16778435 20134122 30201183 33556870 36912557 50335305 60402366 73825114 100670610 110737671 151005915 184562785 221475342 302011830 332213013 369125570 553688355 664426026 1107376710 1661065065 3322130130