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233130420402 = 231131263433249
BaseRepresentation
bin1101100100011110100…
…1111110100010110010
3211021202021000102100220
43121013221332202302
512304422341423102
6255033145553510
722562121606645
oct3310751764262
9737667012326
10233130420402
118a963054430
1239222aa5896
1318ca4100729
14b3d81a1a5c
1560e6d051bc
hex3647a7e8b2

233130420402 has 64 divisors (see below), whose sum is σ = 527053824000. Its totient is φ = 68106585600.

The previous prime is 233130420373. The next prime is 233130420407. The reversal of 233130420402 is 204024031332.

It is not an unprimeable number, because it can be changed into a prime (233130420407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321474 + ... + 754722.

It is an arithmetic number, because the mean of its divisors is an integer number (8235216000).

Almost surely, 2233130420402 is an apocalyptic number.

233130420402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 233130420402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263526912000).

233130420402 is an abundant number, since it is smaller than the sum of its proper divisors (293923403598).

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

233130420402 is a wasteful number, since it uses less digits than its factorization.

233130420402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433559.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 233130420402 its reverse (204024031332), we get a palindrome (437154451734).

The spelling of 233130420402 in words is "two hundred thirty-three billion, one hundred thirty million, four hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 263 341 526 682 789 1023 1578 2046 2893 5786 8153 8679 16306 17358 24459 48918 89683 179366 269049 433249 538098 866498 1299747 2599494 4765739 9531478 13430719 14297217 26861438 28594434 40292157 80584314 113944487 147737909 227888974 295475818 341833461 443213727 683666922 886427454 1253389357 2506778714 3532279097 3760168071 7064558194 7520336142 10596837291 21193674582 38855070067 77710140134 116565210201 233130420402