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30103011040 = 255839723369
BaseRepresentation
bin11100000010010001…
…110111111011100000
32212200221010101221211
4130002101313323200
5443122332323130
621455031555504
72113660241404
oct340221677340
985627111854
1030103011040
1111848401823
125a0152bb94
132ab982128b
141657dc1104
15bb2bc5a2a
hex702477ee0

30103011040 has 96 divisors (see below), whose sum is σ = 72720335520. Its totient is φ = 11772985344.

The previous prime is 30103011023. The next prime is 30103011049. The reversal of 30103011040 is 4011030103.

It is a self number, because there is not a number n which added to its sum of digits gives 30103011040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30103011049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1276476 + ... + 1299844.

It is an arithmetic number, because the mean of its divisors is an integer number (757503495).

Almost surely, 230103011040 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 30103011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36360167760).

30103011040 is an abundant number, since it is smaller than the sum of its proper divisors (42617324480).

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

30103011040 is a wasteful number, since it uses less digits than its factorization.

30103011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23564 (or 23556 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30103011040 its reverse (4011030103), we get a palindrome (34114041143).

The spelling of 30103011040 in words is "thirty billion, one hundred three million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 97 160 166 194 332 388 415 485 664 776 830 970 1328 1552 1660 1940 2656 3104 3320 3880 6640 7760 8051 13280 15520 16102 23369 32204 40255 46738 64408 80510 93476 116845 128816 161020 186952 233690 257632 322040 373904 467380 644080 747808 934760 1288160 1869520 1939627 2266793 3739040 3879254 4533586 7758508 9067172 9698135 11333965 15517016 18134344 19396270 22667930 31034032 36268688 38792540 45335860 62068064 72537376 77585080 90671720 155170160 181343440 188143819 310340320 362686880 376287638 752575276 940719095 1505150552 1881438190 3010301104 3762876380 6020602208 7525752760 15051505520 30103011040