Search a number
-
+
30031032120 = 23356713128513
BaseRepresentation
bin11011111101111111…
…010010111100111000
32212111220200111102220
4123331333102330320
5443000421011440
621443541124040
72112124363335
oct337577227470
985456614386
1030031032120
1111810809a11
1259a13b9620
132aa793babb
14164c60598c
15bab7088d0
hex6fdfd2f38

30031032120 has 128 divisors (see below), whose sum is σ = 92138999040. Its totient is φ = 7828254720.

The previous prime is 30031032047. The next prime is 30031032131. The reversal of 30031032120 is 2123013003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30031032120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1038984 + ... + 1067496.

It is an arithmetic number, because the mean of its divisors is an integer number (719835930).

Almost surely, 230031032120 is an apocalyptic number.

30031032120 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 30031032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46069499520).

30031032120 is an abundant number, since it is smaller than the sum of its proper divisors (62107966920).

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

30031032120 is a wasteful number, since it uses less digits than its factorization.

30031032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28725 (or 28721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30031032120 its reverse (2123013003), we get a palindrome (32154045123).

The spelling of 30031032120 in words is "thirty billion, thirty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 131 134 201 262 268 335 393 402 524 536 655 670 786 804 1005 1048 1310 1340 1572 1608 1965 2010 2620 2680 3144 3930 4020 5240 7860 8040 8777 15720 17554 26331 28513 35108 43885 52662 57026 70216 85539 87770 105324 114052 131655 142565 171078 175540 210648 228104 263310 285130 342156 351080 427695 526620 570260 684312 855390 1053240 1140520 1710780 1910371 3421560 3735203 3820742 5731113 7470406 7641484 9551855 11205609 11462226 14940812 15282968 18676015 19103710 22411218 22924452 28655565 29881624 37352030 38207420 44822436 45848904 56028045 57311130 74704060 76414840 89644872 112056090 114622260 149408120 224112180 229244520 250258601 448224360 500517202 750775803 1001034404 1251293005 1501551606 2002068808 2502586010 3003103212 3753879015 5005172020 6006206424 7507758030 10010344040 15015516060 30031032120