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30330001132220 = 22517433343620567
BaseRepresentation
bin1101110010101110000001…
…11100011000101010111100
310222101112000221001012201102
412321113000330120222330
512433411320242212340
6144301224332432232
76250161462624416
oct671270074305274
9128345027035642
1030330001132220
119733976a34aa9
12349a1a8018678
1313c015093b3aa
1476bda0b4d9b6
15378e46237215
hex1b95c0f18abc

30330001132220 has 96 divisors (see below), whose sum is σ = 69028767295488. Its totient is φ = 11149456131072.

The previous prime is 30330001132183. The next prime is 30330001132279. The reversal of 30330001132220 is 2223110003303.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30330001132192 and 30330001132201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48564377 + ... + 49184943.

It is an arithmetic number, because the mean of its divisors is an integer number (719049659328).

Almost surely, 230330001132220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30330001132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34514383647744).

30330001132220 is an abundant number, since it is smaller than the sum of its proper divisors (38698766163268).

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

30330001132220 is a wasteful number, since it uses less digits than its factorization.

30330001132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623979 (or 623977 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30330001132220 its reverse (2223110003303), we get a palindrome (32553111135523).

The spelling of 30330001132220 in words is "thirty trillion, three hundred thirty billion, one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3343 3655 6686 7310 13372 14620 16715 33430 56831 66860 113662 143749 227324 284155 287498 568310 574996 620567 718745 1136620 1241134 1437490 2443733 2482268 2874980 3102835 4887466 6205670 9774932 10549639 12218665 12411340 21099278 24437330 26684381 42198556 48874660 52748195 53368762 105496390 106737524 133421905 210992780 266843810 453634477 533687620 907268954 1814537908 2074555481 2268172385 4149110962 4536344770 8298221924 9072689540 10372777405 20745554810 35267443177 41491109620 70534886354 89205885683 141069772708 176337215885 178411771366 352674431770 356823542732 446029428415 705348863540 892058856830 1516500056611 1784117713660 3033000113222 6066000226444 7582500283055 15165000566110 30330001132220