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1010203013313 = 331315607184409
BaseRepresentation
bin11101011001101001100…
…10101011000011000001
310120120111210012012112000
432230310302223003001
5113022343432411223
62052025244254213
7132661525635354
oct16546462530301
93516453165460
101010203013313
1135a4742a08aa
1214394ab41369
1374353056a20
1436c7353429b
151b427376543
hexeb34cab0c1

1010203013313 has 32 divisors (see below), whose sum is σ = 1611831916800. Its totient is φ = 621620189568.

The previous prime is 1010203013311. The next prime is 1010203013321. The reversal of 1010203013313 is 3133103020101.

It is a happy number.

1010203013313 is a `hidden beast` number, since 1 + 0 + 10 + 20 + 301 + 331 + 3 = 666.

It is not a de Polignac number, because 1010203013313 - 21 = 1010203013311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010203013311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5385853 + ... + 5570261.

It is an arithmetic number, because the mean of its divisors is an integer number (50369747400).

Almost surely, 21010203013313 is an apocalyptic number.

1010203013313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010203013313 is a deficient number, since it is larger than the sum of its proper divisors (601628903487).

1010203013313 is a wasteful number, since it uses less digits than its factorization.

1010203013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200038 (or 200032 counting only the distinct ones).

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

Adding to 1010203013313 its reverse (3133103020101), we get a palindrome (4143306033414).

The spelling of 1010203013313 in words is "one trillion, ten billion, two hundred three million, thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 39 117 351 15607 46821 140463 184409 202891 421389 553227 608673 1659681 1826019 2397317 4979043 5478057 7191951 21575853 64727559 2878071263 8634213789 25902641367 37414926419 77707924101 112244779257 336734337771 1010203013313