Search a number
-
+
3121321230 = 234547163503
BaseRepresentation
bin1011101000001011…
…1001010100001110
322001112022112210000
42322002321110032
522343024234410
61233420425130
7140230535616
oct27202712416
98045275700
103121321230
1113619a4925
127313a81a6
133a9881951
14218787a46
1513405adc0
hexba0b950e

3121321230 has 160 divisors (see below), whose sum is σ = 8641188864. Its totient is φ = 808035264.

The previous prime is 3121321223. The next prime is 3121321249. The reversal of 3121321230 is 321231213.

3121321230 is a `hidden beast` number, since 312 + 1 + 321 + 2 + 30 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6205159 + ... + 6205661.

Almost surely, 23121321230 is an apocalyptic number.

3121321230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121321230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320594432).

3121321230 is an abundant number, since it is smaller than the sum of its proper divisors (5519867634).

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

3121321230 is a wasteful number, since it uses less digits than its factorization.

3121321230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3121321230 is about 55868.7858289403. The cubic root of 3121321230 is about 1461.4349484406.

Adding to 3121321230 its reverse (321231213), we get a palindrome (3442552443).

The spelling of 3121321230 in words is "three billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 163 235 270 282 326 405 423 470 489 503 705 810 815 846 978 1006 1269 1410 1467 1509 1630 2115 2445 2515 2538 2934 3018 3807 4230 4401 4527 4890 5030 6345 7335 7545 7614 7661 8802 9054 12690 13203 13581 14670 15090 15322 19035 22005 22635 22983 23641 26406 27162 38070 38305 40743 44010 45270 45966 47282 66015 67905 68949 70923 76610 81486 81989 114915 118205 132030 135810 137898 141846 163978 203715 206847 212769 229830 236410 245967 344745 354615 407430 409945 413694 425538 491934 620541 638307 689490 709230 737901 819890 1034235 1063845 1229835 1241082 1276614 1475802 1914921 2068470 2127690 2213703 2459670 3102705 3191535 3689505 3829842 3853483 4427406 6205410 6383070 6641109 7379010 7706966 9574605 11068515 11560449 13282218 19149210 19267415 22137030 23120898 33205545 34681347 38534830 57802245 66411090 69362694 104044041 115604490 173406735 208088082 312132123 346813470 520220205 624264246 1040440410 1560660615 3121321230