Search a number
-
+
20311152455120 = 2454137916338851
BaseRepresentation
bin1001001111001000011110…
…00001101110110111010000
32122220201122010200221202012
410213210033001232313100
510130234220012030440
6111110451543042052
74164301202163542
oct447441701566720
978821563627665
1020311152455120
116520a0306099a
12234052ba40328
13b444447b84c7
145030ca5d7692
1525351669ae65
hex12790f06edd0

20311152455120 has 80 divisors (see below), whose sum is σ = 48502862493120. Its totient is φ = 7905389184000.

The previous prime is 20311152455081. The next prime is 20311152455137. The reversal of 20311152455120 is 2155425111302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×203111524551202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6926306 + ... + 9412545.

It is an arithmetic number, because the mean of its divisors is an integer number (606285781164).

Almost surely, 220311152455120 is an apocalyptic number.

20311152455120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20311152455120 is an abundant number, since it is smaller than the sum of its proper divisors (28191710038000).

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

20311152455120 is a wasteful number, since it uses less digits than its factorization.

20311152455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16339284 (or 16339278 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 20311152455120 its reverse (2155425111302), we get a palindrome (22466577566422).

The spelling of 20311152455120 in words is "twenty trillion, three hundred eleven billion, one hundred fifty-two million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 379 410 656 758 820 1516 1640 1895 3032 3280 3790 6064 7580 15160 15539 30320 31078 62156 77695 124312 155390 248624 310780 621560 1243120 16338851 32677702 65355404 81694255 130710808 163388510 261421616 326777020 653554040 669892891 1307108080 1339785782 2679571564 3349464455 5359143128 6192424529 6698928910 10718286256 12384849058 13397857820 24769698116 26795715640 30962122645 49539396232 53591431280 61924245290 99078792464 123848490580 247696981160 253889405689 495393962320 507778811378 1015557622756 1269447028445 2031115245512 2538894056890 4062230491024 5077788113780 10155576227560 20311152455120