Search a number
-
+
1203412304034 = 2321959911095297
BaseRepresentation
bin10001100000110000111…
…101101000000010100010
311021001012212120010010100
4101200300331220002202
5124204042022212114
62320501234043230
7152641451544213
oct21406075500242
94231185503110
101203412304034
11424400966676
12175290419516
138963452b015
14423617b940a
1521484573909
hex11830f680a2

1203412304034 has 96 divisors (see below), whose sum is σ = 2752205040000. Its totient is φ = 378976845312.

The previous prime is 1203412304021. The next prime is 1203412304069. The reversal of 1203412304034 is 4304032143021.

1203412304034 is a `hidden beast` number, since 1 + 20 + 3 + 4 + 1 + 230 + 403 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1203412303989 and 1203412304007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227184874 + ... + 227190170.

It is an arithmetic number, because the mean of its divisors is an integer number (28668802500).

Almost surely, 21203412304034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1203412304034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376102520000).

1203412304034 is an abundant number, since it is smaller than the sum of its proper divisors (1548792735966).

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

1203412304034 is a wasteful number, since it uses less digits than its factorization.

1203412304034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1203412304034 its reverse (4304032143021), we get a palindrome (5507444447055).

The spelling of 1203412304034 in words is "one trillion, two hundred three billion, four hundred twelve million, three hundred four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 599 1109 1198 1797 2218 3327 3594 5297 5391 6654 9981 10594 10782 11381 15891 19962 21071 22762 31782 34143 42142 47673 63213 68286 95346 100643 102429 126426 189639 201286 204858 301929 379278 603858 664291 905787 1328582 1811574 1992873 3172903 3985746 5874373 5978619 6345806 9518709 11748746 11957238 12621529 17623119 19037418 25243058 28556127 35246238 37864587 52869357 57112254 60285157 75729174 105738714 111613087 113593761 120570314 180855471 223226174 227187522 334839261 361710942 542566413 669678522 1004517783 1085132826 2009035566 3518749427 7037498854 10556248281 21112496562 31668744843 63337489686 66856239113 133712478226 200568717339 401137434678 601706152017 1203412304034