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34530101136 = 24321943329147
BaseRepresentation
bin100000001010001001…
…111000011110010000
310022010110110212212200
4200022021320132100
51031204201214021
623510215523200
72331455005536
oct401211703620
9108113425780
1034530101136
111370a384073
126838089500
133343a7a90b
141957d4c156
15d716b1126
hex80a278790

34530101136 has 120 divisors (see below), whose sum is σ = 101960869920. Its totient is φ = 10878686208.

The previous prime is 34530101131. The next prime is 34530101153. The reversal of 34530101136 is 63110103543.

34530101136 is a `hidden beast` number, since 3 + 4 + 530 + 10 + 113 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (34530101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170115 + ... + 1199261.

It is an arithmetic number, because the mean of its divisors is an integer number (849673916).

Almost surely, 234530101136 is an apocalyptic number.

34530101136 is a gapful number since it is divisible by the number (36) 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 34530101136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50980434960).

34530101136 is an abundant number, since it is smaller than the sum of its proper divisors (67430768784).

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

34530101136 is a wasteful number, since it uses less digits than its factorization.

34530101136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29613 (or 29604 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 34530101136 its reverse (63110103543), we get a palindrome (97640204679).

The spelling of 34530101136 in words is "thirty-four billion, five hundred thirty million, one hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 433 456 684 866 912 1299 1368 1732 2598 2736 3464 3897 5196 6928 7794 8227 10392 15588 16454 20784 24681 29147 31176 32908 49362 58294 62352 65816 74043 87441 98724 116588 131632 148086 174882 197448 233176 262323 296172 349764 394896 466352 524646 553793 592344 699528 1049292 1107586 1184688 1399056 1661379 2098584 2215172 3322758 4197168 4430344 4984137 6645516 8860688 9968274 12620651 13291032 19936548 25241302 26582064 37861953 39873096 50482604 75723906 79746192 100965208 113585859 151447812 201930416 227171718 239792369 302895624 454343436 479584738 605791248 719377107 908686872 959169476 1438754214 1817373744 1918338952 2158131321 2877508428 3836677904 4316262642 5755016856 8632525284 11510033712 17265050568 34530101136