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245330312151000 = 23353686911905193
BaseRepresentation
bin110111110010000001101010…
…000110111011111111011000
31012011122100102021021001002110
4313302001222012323333120
5224123442434402313000
62225435104534032320
7102450346560163206
oct6762015206737730
91164570367231073
10245330312151000
117119600150893a
12236227a91a86a0
13a6b771a6a500b
14448209c68a076
151d5690edc4850
hexdf206a1bbfd8

245330312151000 has 128 divisors (see below), whose sum is σ = 765542070820800. Its totient is φ = 65411886924800.

The previous prime is 245330312150981. The next prime is 245330312151007. The reversal of 245330312151000 is 151213033542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245330312151007) 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, 14654404 + ... + 26559596.

Almost surely, 2245330312151000 is an apocalyptic number.

245330312151000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245330312151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382771035410400).

245330312151000 is an abundant number, since it is smaller than the sum of its proper divisors (520211758669800).

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

245330312151000 is a wasteful number, since it uses less digits than its factorization.

245330312151000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912086 (or 11912072 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 245330312151000 its reverse (151213033542), we get a palindrome (245481525184542).

The spelling of 245330312151000 in words is "two hundred forty-five trillion, three hundred thirty billion, three hundred twelve million, one hundred fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6869 13738 20607 27476 34345 41214 54952 68690 82428 103035 137380 164856 171725 206070 274760 343450 412140 515175 686900 824280 858625 1030350 1373800 1717250 2060700 2575875 3434500 4121400 5151750 6869000 10303500 11905193 20607000 23810386 35715579 47620772 59525965 71431158 95241544 119051930 142862316 178577895 238103860 285724632 297629825 357155790 476207720 595259650 714311580 892889475 1190519300 1428623160 1488149125 1785778950 2381038600 2976298250 3571557900 4464447375 5952596500 7143115800 8928894750 11905193000 17857789500 35715579000 81776770717 163553541434 245330312151 327107082868 408883853585 490660624302 654214165736 817767707170 981321248604 1226651560755 1635535414340 1962642497208 2044419267925 2453303121510 3271070828680 4088838535850 4906606243020 6133257803775 8177677071700 9813212486040 10222096339625 12266515607550 16355354143400 20444192679250 24533031215100 30666289018875 40888385358500 49066062430200 61332578037750 81776770717000 122665156075500 245330312151000