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30133122040 = 2357438293019
BaseRepresentation
bin11100000100000100…
…101111001111111000
32212210000210012111001
4130010010233033320
5443203034401130
621502025214344
72114504211520
oct340404571770
985700705431
1030133122040
11118633a864a
125a0b6313b4
132ac2b34938
14165bdbc680
15bb56726ca
hex70412f3f8

30133122040 has 128 divisors (see below), whose sum is σ = 79409088000. Its totient is φ = 10075580928.

The previous prime is 30133122023. The next prime is 30133122059. The reversal of 30133122040 is 4022133103.

It is a junction number, because it is equal to n+sod(n) for n = 30133121999 and 30133122017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9979651 + ... + 9982669.

It is an arithmetic number, because the mean of its divisors is an integer number (620383500).

Almost surely, 230133122040 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 30133122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39704544000).

30133122040 is an abundant number, since it is smaller than the sum of its proper divisors (49275965960).

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

30133122040 is a wasteful number, since it uses less digits than its factorization.

30133122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 30133122040 its reverse (4022133103), we get a palindrome (34155255143).

The spelling of 30133122040 in words is "thirty billion, one hundred thirty-three million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 829 860 1204 1505 1658 1720 2408 3010 3019 3316 4145 5803 6020 6038 6632 8290 11606 12040 12076 15095 16580 21133 23212 24152 29015 30190 33160 35647 42266 46424 58030 60380 71294 84532 105665 116060 120760 129817 142588 169064 178235 211330 232120 249529 259634 285176 356470 422660 499058 519268 649085 712940 845320 908719 998116 1038536 1247645 1298170 1425880 1817438 1996232 2495290 2502751 2596340 3634876 4543595 4990580 5005502 5192680 7269752 9087190 9981160 10011004 12513755 17519257 18174380 20022008 25027510 35038514 36348760 50055020 70077028 87596285 100110040 107618293 140154056 175192570 215236586 350385140 430473172 538091465 700770280 753328051 860946344 1076182930 1506656102 2152365860 3013312204 3766640255 4304731720 6026624408 7533280510 15066561020 30133122040