Search a number
-
+
30010132020 = 223511210140927
BaseRepresentation
bin11011111100101111…
…100100011000110100
32212110110100122220010
4123330233210120310
5442430043211040
621441513140220
72111451625161
oct337457443064
985413318803
1030010132020
11117aaa34400
1259963ba670
132aa3501a8b
141649925068
15ba997ae80
hex6fcbe4634

30010132020 has 144 divisors (see below), whose sum is σ = 93278513664. Its totient is φ = 7202976000.

The previous prime is 30010132003. The next prime is 30010132037. The reversal of 30010132020 is 2023101003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30010132003) and next prime (30010132037).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30010131987 and 30010132005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712797 + ... + 753723.

It is an arithmetic number, because the mean of its divisors is an integer number (647767456).

Almost surely, 230010132020 is an apocalyptic number.

30010132020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30010132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46639256832).

30010132020 is an abundant number, since it is smaller than the sum of its proper divisors (63268381644).

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

30010132020 is a wasteful number, since it uses less digits than its factorization.

30010132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41062 (or 41049 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30010132020 its reverse (2023101003), we get a palindrome (32033233023).

The spelling of 30010132020 in words is "thirty billion, ten million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 121 132 165 202 220 242 303 330 363 404 484 505 605 606 660 726 1010 1111 1210 1212 1452 1515 1815 2020 2222 2420 3030 3333 3630 4444 5555 6060 6666 7260 11110 12221 13332 16665 22220 24442 33330 36663 40927 48884 61105 66660 73326 81854 122210 122781 146652 163708 183315 204635 244420 245562 366630 409270 450197 491124 613905 733260 818540 900394 1227810 1350591 1800788 2250985 2455620 2701182 4133627 4501970 4952167 5402364 6752955 8267254 9003940 9904334 12400881 13505910 14856501 16534508 19808668 20668135 24760835 24801762 27011820 29713002 41336270 45469897 49521670 49603524 59426004 62004405 74282505 82672540 90939794 99043340 124008810 136409691 148565010 181879588 227349485 248017620 272819382 297130020 454698970 500168867 545638764 682048455 909397940 1000337734 1364096910 1500506601 2000675468 2500844335 2728193820 3001013202 5001688670 6002026404 7502533005 10003377340 15005066010 30010132020