Search a number
-
+
210021103011120 = 24353659239160407
BaseRepresentation
bin101111110000001101011001…
…001111011000010100110000
31000112121211011202220100110020
4233300031121033120110300
5210011441204332323440
62022402210205203440
762144344501422642
oct5760153117302460
91015554152810406
10210021103011120
1160a124a4457a25
121b67b5b6560580
139025b9c48841b
1439c110b71c892
1519431e69cb3d0
hexbf03593d8530

210021103011120 has 80 divisors (see below), whose sum is σ = 651243357400320. Its totient is φ = 55990320969472.

The previous prime is 210021103011043. The next prime is 210021103011121. The reversal of 210021103011120 is 21110301120012.

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

It is a super-3 number, since 3×2100211030111203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210021103011120.

It is not an unprimeable number, because it can be changed into a prime (210021103011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118702044 + ... + 120458363.

It is an arithmetic number, because the mean of its divisors is an integer number (8140541967504).

Almost surely, 2210021103011120 is an apocalyptic number.

210021103011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021103011120 is an abundant number, since it is smaller than the sum of its proper divisors (441222254389200).

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

210021103011120 is a wasteful number, since it uses less digits than its factorization.

210021103011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239164082 (or 239164076 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 210021103011120 its reverse (21110301120012), we get a palindrome (231131404131132).

The spelling of 210021103011120 in words is "two hundred ten trillion, twenty-one billion, one hundred three million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3659 7318 10977 14636 18295 21954 29272 36590 43908 54885 58544 73180 87816 109770 146360 175632 219540 292720 439080 878160 239160407 478320814 717481221 956641628 1195802035 1434962442 1913283256 2391604070 2869924884 3587406105 3826566512 4783208140 5739849768 7174812210 9566416280 11479699536 14349624420 19132832560 28699248840 57398497680 875087929213 1750175858426 2625263787639 3500351716852 4375439646065 5250527575278 7000703433704 8750879292130 10501055150556 13126318938195 14001406867408 17501758584260 21002110301112 26252637876390 35003517168520 42004220602224 52505275752780 70007034337040 105010551505560 210021103011120