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30241131140 = 225115310125679
BaseRepresentation
bin11100001010100000…
…110000101010000100
32220001120000122010002
4130022200300222010
5443413212144030
621520444220432
72120255242043
oct341240605204
986046018102
1030241131140
111190936a470
125a3b83a718
132b0c320a4c
14166c49655a
15bbedaa245
hex70a830a84

30241131140 has 96 divisors (see below), whose sum is σ = 71288501760. Its totient is φ = 10682048000.

The previous prime is 30241131131. The next prime is 30241131143. The reversal of 30241131140 is 4113114203.

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

It is not an unprimeable number, because it can be changed into a prime (30241131143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164821 + ... + 1190499.

It is an arithmetic number, because the mean of its divisors is an integer number (742588560).

Almost surely, 230241131140 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 30241131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35644250880).

30241131140 is an abundant number, since it is smaller than the sum of its proper divisors (41047370620).

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

30241131140 is a wasteful number, since it uses less digits than its factorization.

30241131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25853 (or 25851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 30241131140 its reverse (4113114203), we get a palindrome (34354245343).

The spelling of 30241131140 in words is "thirty billion, two hundred forty-one million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 101 106 110 202 212 220 265 404 505 530 583 1010 1060 1111 1166 2020 2222 2332 2915 4444 5353 5555 5830 10706 11110 11660 21412 22220 25679 26765 51358 53530 58883 102716 107060 117766 128395 235532 256790 282469 294415 513580 564938 588830 1129876 1177660 1360987 1412345 2593579 2721974 2824690 5187158 5443948 5649380 6804935 10374316 12967895 13609870 14970857 25935790 27219740 28529369 29941714 51871580 57058738 59883428 74854285 114117476 137459687 142646845 149708570 274919374 285293690 299417140 549838748 570587380 687298435 1374596870 1512056557 2749193740 3024113114 6048226228 7560282785 15120565570 30241131140