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2030102131122 = 2321316229534577
BaseRepresentation
bin11101100010101011100…
…001000011000110110010
321012002001022022112220100
4131202223201003012302
5231230122121143442
64152341022053230
7266445552253212
oct35425341030662
97162038275810
102030102131122
11712a638014aa
1228954511a216
1311958cb37c90
14703866c2242
1537c1aa7c84c
hex1d8ab8431b2

2030102131122 has 48 divisors (see below), whose sum is σ = 4737205713240. Its totient is φ = 624607151616.

The previous prime is 2030102131121. The next prime is 2030102131171. The reversal of 2030102131122 is 2211312010302.

It can be written as a sum of positive squares in 4 ways, for example, as 2026497449601 + 3604681521 = 1423551^2 + 60039^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2030102131095 and 2030102131104.

It is not an unprimeable number, because it can be changed into a prime (2030102131121) 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 23 ways as a sum of consecutive naturals, for example, 3530298 + ... + 4064874.

Almost surely, 22030102131122 is an apocalyptic number.

2030102131122 is an abundant number, since it is smaller than the sum of its proper divisors (2707103582118).

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

2030102131122 is a wasteful number, since it uses less digits than its factorization.

2030102131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550827 (or 550824 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2030102131122 its reverse (2211312010302), we get a palindrome (4241414141424).

The spelling of 2030102131122 in words is "two trillion, thirty billion, one hundred two million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 16229 32458 48687 97374 146061 210977 292122 421954 534577 632931 1069154 1265862 1603731 1898793 3207462 3797586 4811193 6949501 9622386 13899002 20848503 41697006 62545509 125091018 8675650133 17351300266 26026950399 52053900798 78080851197 112783451729 156161702394 225566903458 338350355187 676700710374 1015051065561 2030102131122