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10301012330013 = 3231373079324089
BaseRepresentation
bin1001010111100110010000…
…1011100100011000011101
31100110202201021000222021200
42111321210023210120131
52322232433124030023
633524115243550113
72112136455053256
oct225714413443035
940422637028250
1010301012330013
1133116a8a05899
1211a44a422b339
135994c5920572
142788008abb2d
1512ce4641b743
hex95e642e461d

10301012330013 has 48 divisors (see below), whose sum is σ = 15779501337600. Its totient is φ = 6464077758720.

The previous prime is 10301012330009. The next prime is 10301012330047. The reversal of 10301012330013 is 31003321010301.

It is a happy number.

10301012330013 is a `hidden beast` number, since 10 + 301 + 0 + 12 + 330 + 0 + 13 = 666.

It is not a de Polignac number, because 10301012330013 - 22 = 10301012330009 is a prime.

It is a super-3 number, since 3×103010123300133 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301012330113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31622473 + ... + 31946561.

It is an arithmetic number, because the mean of its divisors is an integer number (328739611200).

Almost surely, 210301012330013 is an apocalyptic number.

It is an amenable number.

10301012330013 is a deficient number, since it is larger than the sum of its proper divisors (5478489007587).

10301012330013 is a wasteful number, since it uses less digits than its factorization.

10301012330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327242 (or 327239 counting only the distinct ones).

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

Adding to 10301012330013 its reverse (31003321010301), we get a palindrome (41304333340314).

The spelling of 10301012330013 in words is "ten trillion, three hundred one billion, twelve million, three hundred thirty thousand, thirteen".

Divisors: 1 3 9 31 37 93 111 279 333 1147 3079 3441 9237 10323 27711 95449 113923 286347 324089 341769 859041 972267 1025307 2916801 3531613 10046759 10594839 11991293 30140277 31784517 35973879 90420831 107921637 371730083 997870031 1115190249 2993610093 3345570747 8980830279 30933970961 36921191147 92801912883 110763573441 278405738649 332290720323 1144556925557 3433670776671 10301012330013