Search a number
-
+
30240441100020 = 223510725118766331
BaseRepresentation
bin1101110000000111001101…
…01111111110011011110100
310222001221212100001011221210
412320003212233332123310
512430424410410200040
6144152133350241420
76240541215125004
oct670034657763364
9128057770034853
1030240441100020
1196a99986a8268
123484972656270
1313b487a0126b8
1476790645c004
15376953816480
hex1b80e6bfe6f4

30240441100020 has 96 divisors (see below), whose sum is σ = 85805074607616. Its totient is φ = 7956923920000.

The previous prime is 30240441100019. The next prime is 30240441100099. The reversal of 30240441100020 is 2000114404203.

It is a self number, because there is not a number n which added to its sum of digits gives 30240441100020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7771746 + ... + 10994585.

It is an arithmetic number, because the mean of its divisors is an integer number (893802860496).

Almost surely, 230240441100020 is an apocalyptic number.

30240441100020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30240441100020 is an abundant number, since it is smaller than the sum of its proper divisors (55564633507596).

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

30240441100020 is a wasteful number, since it uses less digits than its factorization.

30240441100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18766701 (or 18766699 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 30240441100020 its reverse (2000114404203), we get a palindrome (32240555504223).

The spelling of 30240441100020 in words is "thirty trillion, two hundred forty billion, four hundred forty-one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 251 321 428 502 535 642 753 1004 1070 1255 1284 1506 1605 2140 2510 3012 3210 3765 5020 6420 7530 15060 26857 53714 80571 107428 134285 161142 268570 322284 402855 537140 805710 1611420 18766331 37532662 56298993 75065324 93831655 112597986 187663310 225195972 281494965 375326620 562989930 1125979860 2007997417 4015994834 4710349081 6023992251 8031989668 9420698162 10039987085 12047984502 14131047243 18841396324 20079974170 23551745405 24095969004 28262094486 30119961255 40159948340 47103490810 56524188972 60239922510 70655236215 94206981620 120479845020 141310472430 282620944860 504007351667 1008014703334 1512022055001 2016029406668 2520036758335 3024044110002 5040073516670 6048088220004 7560110275005 10080147033340 15120220550010 30240441100020