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230121322002 = 2331113252111821
BaseRepresentation
bin1101011001010001001…
…1001011011000010010
3210222222112212101101000
43112110103023120102
512232242024301002
6253414414322430
722424422651215
oct3262423133022
9728875771330
10230121322002
118965953a250
12387231b9416
1318914881b30
14b1d06ab77c
155ebca6561c
hex35944cb612

230121322002 has 128 divisors (see below), whose sum is σ = 601072093440. Its totient is φ = 64338624000.

The previous prime is 230121321977. The next prime is 230121322073. The reversal of 230121322002 is 200223121032.

230121322002 is a `hidden beast` number, since 230 + 1 + 213 + 220 + 0 + 2 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19461252 + ... + 19473072.

It is an arithmetic number, because the mean of its divisors is an integer number (4695875730).

Almost surely, 2230121322002 is an apocalyptic number.

230121322002 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 230121322002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300536046720).

230121322002 is an abundant number, since it is smaller than the sum of its proper divisors (370950771438).

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

230121322002 is a wasteful number, since it uses less digits than its factorization.

230121322002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14377 (or 14371 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230121322002 its reverse (200223121032), we get a palindrome (430344443034).

The spelling of 230121322002 in words is "two hundred thirty billion, one hundred twenty-one million, three hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2521 2574 3861 5042 7563 7722 11821 15126 22689 23642 27731 32773 35463 45378 55462 65546 68067 70926 83193 98319 106389 130031 136134 153673 166386 196638 212778 249579 260062 294957 307346 319167 360503 390093 461019 499158 589914 638334 721006 748737 780186 884871 922038 1081509 1170279 1383057 1497474 1690403 1769742 2163018 2340558 2766114 3244527 3380806 3510837 4149171 5071209 6489054 7021674 8298342 9733581 10142418 15213627 19467162 29800741 30427254 45640881 59601482 89402223 91281762 178804446 268206669 327808151 387409633 536413338 655616302 774819266 804620007 983424453 1162228899 1609240014 1966848906 2324457798 2950273359 3486686697 4261505963 5900546718 6973373394 8523011926 8850820077 10460060091 12784517889 17701640154 20920120182 25569035778 38353553667 76707107334 115060661001 230121322002