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12020031434030 = 25172191971111189
BaseRepresentation
bin1010111011101010000110…
…1101000010110100101110
31120120002210122202101102112
42232322201231002310232
53033414011021342110
641321532021124022
72350263404256554
oct256724155026456
946502718671375
1012020031434030
113914737423764
121421690259612
1369263a752129
142d7ab6127bd4
1515ca067ea405
hexaeea1b42d2e

12020031434030 has 96 divisors (see below), whose sum is σ = 24316126322400. Its totient is φ = 4265255135232.

The previous prime is 12020031434017. The next prime is 12020031434057. The reversal of 12020031434030 is 3043413002021.

It is a junction number, because it is equal to n+sod(n) for n = 12020031433987 and 12020031434005.

It is a congruent number.

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, 10261676 + ... + 11372864.

It is an arithmetic number, because the mean of its divisors is an integer number (253292982525).

Almost surely, 212020031434030 is an apocalyptic number.

12020031434030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12020031434030 is an abundant number, since it is smaller than the sum of its proper divisors (12296094888370).

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

12020031434030 is a wasteful number, since it uses less digits than its factorization.

12020031434030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111446 (or 1111429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12020031434030 its reverse (3043413002021), we get a palindrome (15063444436051).

The spelling of 12020031434030 in words is "twelve trillion, twenty billion, thirty-one million, four hundred thirty-four thousand, thirty".

Divisors: 1 2 5 10 17 19 34 38 85 95 170 190 197 289 323 394 578 646 985 1445 1615 1970 2890 3230 3349 3743 5491 6698 7486 10982 16745 18715 27455 33490 37430 54910 56933 63631 113866 127262 284665 318155 569330 636310 1081727 1111189 2163454 2222378 5408635 5555945 10817270 11111890 18890213 21112591 37780426 42225182 94451065 105562955 188902130 211125910 218904233 321133621 358914047 437808466 642267242 717828094 1094521165 1605668105 1794570235 2189042330 3211336210 3589140470 3721371961 4159180427 6101538799 7442743922 8318360854 12203077598 18606859805 20795902135 30507693995 37213719610 41591804270 61015387990 63263323337 70706067259 126526646674 141412134518 316316616685 353530336295 632633233370 707060672590 1202003143403 2404006286806 6010015717015 12020031434030