Search a number
-
+
120211010001100 = 22526183237430397
BaseRepresentation
bin11011010101010011001110…
…100011001001100011001100
3120202122001121222022201121101
4123111103032203021203030
5111224014122030013400
61103400101533312444
734214646614456554
oct3325231643114314
9522561558281541
10120211010001100
1135337226284177
1211595848035724
13520cb077656a5
14219835b4a6164
15dd6e6e49256a
hex6d54ce8c98cc

120211010001100 has 72 divisors (see below), whose sum is σ = 268328640274128. Its totient is φ = 46726301932800.

The previous prime is 120211010001097. The next prime is 120211010001143. The reversal of 120211010001100 is 1100010112021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 118208899 + ... + 119221498.

It is an arithmetic number, because the mean of its divisors is an integer number (3726786670474).

Almost surely, 2120211010001100 is an apocalyptic number.

120211010001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211010001100 is an abundant number, since it is smaller than the sum of its proper divisors (148117630273028).

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

120211010001100 is a wasteful number, since it uses less digits than its factorization.

120211010001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237430555 (or 237430548 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120211010001100 its reverse (1100010112021), we get a palindrome (121311020113121).

The spelling of 120211010001100 in words is "one hundred twenty trillion, two hundred eleven billion, ten million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 83 100 122 166 244 305 332 415 610 830 1220 1525 1660 2075 3050 4150 5063 6100 8300 10126 20252 25315 50630 101260 126575 253150 506300 237430397 474860794 949721588 1187151985 2374303970 4748607940 5935759925 11871519850 14483254217 19706722951 23743039700 28966508434 39413445902 57933016868 72416271085 78826891804 98533614755 144832542170 197067229510 289665084340 362081355425 394134459020 492668073775 724162710850 985336147550 1202110100011 1448325421700 1970672295100 2404220200022 4808440400044 6010550500055 12021101000110 24042202000220 30052752500275 60105505000550 120211010001100