Search a number
-
+
2102212020120 = 233542141611481
BaseRepresentation
bin11110100101110101100…
…110011100011110011000
321102222011202210110100220
4132211311212130132120
5233420312234120440
64245424243200040
7304610526224562
oct36456546343630
97388152713326
102102212020120
117405a7976393
1229b50a676020
13123312423654
1473a675da332
1539a3b50a8d0
hex1e97599c798

2102212020120 has 64 divisors (see below), whose sum is σ = 6321616345440. Its totient is φ = 559258291200.

The previous prime is 2102212020107. The next prime is 2102212020121. The reversal of 2102212020120 is 210202122012.

It is a super-2 number, since 2×21022120201202 (a number of 25 digits) contains 22 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 2102212020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102212020121) 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, 20755221 + ... + 20856260.

Almost surely, 22102212020120 is an apocalyptic number.

2102212020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102212020120 is an abundant number, since it is smaller than the sum of its proper divisors (4219404325320).

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

2102212020120 is a wasteful number, since it uses less digits than its factorization.

2102212020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41611916 (or 41611912 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2102212020120 its reverse (210202122012), we get a palindrome (2312414142132).

The spelling of 2102212020120 in words is "two trillion, one hundred two billion, two hundred twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 421 842 1263 1684 2105 2526 3368 4210 5052 6315 8420 10104 12630 16840 25260 50520 41611481 83222962 124834443 166445924 208057405 249668886 332891848 416114810 499337772 624172215 832229620 998675544 1248344430 1664459240 2496688860 4993377720 17518433501 35036867002 52555300503 70073734004 87592167505 105110601006 140147468008 175184335010 210221202012 262776502515 350368670020 420442404024 525553005030 700737340040 1051106010060 2102212020120