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1020111312330 = 2325111954232393
BaseRepresentation
bin11101101100000110101…
…11110101010111001010
310121112002022101221112200
432312003113311113022
5113203141443443310
62100344353421030
7133462211041455
oct16660327652712
93545068357480
101020111312330
11363699272580
1214585526a776
1375271a47c56
143753342649c
151b80716d9c0
hexed835f55ca

1020111312330 has 96 divisors (see below), whose sum is σ = 3045691247040. Its totient is φ = 234283933440.

The previous prime is 1020111312289. The next prime is 1020111312371. The reversal of 1020111312330 is 332131110201.

1020111312330 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 1 + 1 + 312 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (1020111312289) and next prime (1020111312371).

It is a super-5 number, since 5×10201113123305 (a number of 61 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27097387 + ... + 27135006.

It is an arithmetic number, because the mean of its divisors is an integer number (31725950490).

Almost surely, 21020111312330 is an apocalyptic number.

1020111312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020111312330 is an abundant number, since it is smaller than the sum of its proper divisors (2025579934710).

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

1020111312330 is a wasteful number, since it uses less digits than its factorization.

1020111312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54232436 (or 54232433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1020111312330 its reverse (332131110201), we get a palindrome (1352242422531).

The spelling of 1020111312330 in words is "one trillion, twenty billion, one hundred eleven million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 3135 3762 6270 9405 18810 54232393 108464786 162697179 271161965 325394358 488091537 542323930 596556323 813485895 976183074 1030415467 1193112646 1626971790 1789668969 2060830934 2440457685 2982781615 3091246401 3579337938 4880915370 5152077335 5369006907 5965563230 6182492802 8948344845 9273739203 10304154670 10738013814 11334570137 15456232005 17896689690 18547478406 22669140274 26845034535 30912464010 34003710411 46368696015 53690069070 56672850685 68007420822 92737392030 102011131233 113345701370 170018552055 204022262466 340037104110 510055656165 1020111312330