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220132113030 = 2325109175912757
BaseRepresentation
bin1100110100000011100…
…1010111101010000110
3210001012101101222202100
43031000321113222012
512101312310104110
6245043255052530
721622036042044
oct3150071275206
9701171358670
10220132113030
11853a2925745
12367b5971146
13179b21a22ab
14a923b57394
155ad5ad9bc0
hex3340e57a86

220132113030 has 96 divisors (see below), whose sum is σ = 577968019200. Its totient is φ = 58125724416.

The previous prime is 220132113029. The next prime is 220132113037. The reversal of 220132113030 is 30311231022.

220132113030 is a `hidden beast` number, since 220 + 132 + 11 + 303 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220132112994 and 220132113012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220132113037) 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, 17249412 + ... + 17262168.

It is an arithmetic number, because the mean of its divisors is an integer number (6020500200).

Almost surely, 2220132113030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220132113030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288984009600).

220132113030 is an abundant number, since it is smaller than the sum of its proper divisors (357835906170).

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

220132113030 is a wasteful number, since it uses less digits than its factorization.

220132113030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14638 (or 14635 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220132113030 its reverse (30311231022), we get a palindrome (250443344052).

The spelling of 220132113030 in words is "two hundred twenty billion, one hundred thirty-two million, one hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1759 1962 3270 3518 4905 5277 8795 9810 10554 12757 15831 17590 25514 26385 31662 38271 52770 63785 76542 79155 114813 127570 158310 191355 191731 229626 382710 383462 574065 575193 958655 1148130 1150386 1390513 1725579 1917310 2781026 2875965 3451158 4171539 5751930 6952565 8343078 8627895 12514617 13905130 17255790 20857695 22439563 25029234 41715390 44879126 62573085 67318689 112197815 125146170 134637378 201956067 224395630 336593445 403912134 673186890 1009780335 2019560670 2445912367 4891824734 7337737101 12229561835 14675474202 22013211303 24459123670 36688685505 44026422606 73377371010 110066056515 220132113030