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1013300132310 = 233526913951537
BaseRepresentation
bin11101011111011010110…
…01001111100111010110
310120212111121222011002000
432233231121033213112
5113100214313213220
62053300442300130
7133131344003664
oct16575531174726
93525447864060
101013300132310
11360813565184
121444741b7646
13747278b360b
14370889bbc34
151b559201390
hexebed64f9d6

1013300132310 has 64 divisors (see below), whose sum is σ = 2712178987200. Its totient is φ = 269208838656.

The previous prime is 1013300132291. The next prime is 1013300132311. The reversal of 1013300132310 is 132310033101.

It is a happy number.

1013300132310 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 0 + 1 + 323 + 10 = 666.

It is a super-2 number, since 2×10133001323102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013300132311) 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, 6903139 + ... + 7048398.

It is an arithmetic number, because the mean of its divisors is an integer number (42377796675).

Almost surely, 21013300132310 is an apocalyptic number.

1013300132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013300132310 is an abundant number, since it is smaller than the sum of its proper divisors (1698878854890).

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

1013300132310 is a wasteful number, since it uses less digits than its factorization.

1013300132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13951822 (or 13951816 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1013300132310 its reverse (132310033101), we get a palindrome (1145610165411).

The spelling of 1013300132310 in words is "one trillion, thirteen billion, three hundred million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 269 270 538 807 1345 1614 2421 2690 4035 4842 7263 8070 12105 14526 24210 36315 72630 13951537 27903074 41854611 69757685 83709222 125563833 139515370 209273055 251127666 376691499 418546110 627819165 753382998 1255638330 1883457495 3752963453 3766914990 7505926906 11258890359 18764817265 22517780718 33776671077 37529634530 56294451795 67553342154 101330013231 112588903590 168883355385 202660026462 337766710770 506650066155 1013300132310