Search a number
-
+
2101222212120 = 2332543135737869
BaseRepresentation
bin11110100100111010100…
…110101000001000011000
321102212121210022000001100
4132210322212220020120
5233411300341241440
64245142124151400
7304544150053143
oct36447246501030
97385553260040
102101222212120
1174013a183a49
1229b293098560
131231b5344545
14739b1d8305a
15399ce68e230
hex1e93a9a8218

2101222212120 has 96 divisors (see below), whose sum is σ = 6987785547600. Its totient is φ = 547295083776.

The previous prime is 2101222212097. The next prime is 2101222212139. The reversal of 2101222212120 is 212122221012.

It is a happy number.

2101222212120 is a `hidden beast` number, since 210 + 1 + 22 + 221 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101222212093 and 2101222212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67853455 + ... + 67884414.

Almost surely, 22101222212120 is an apocalyptic number.

2101222212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101222212120 is an abundant number, since it is smaller than the sum of its proper divisors (4886563335480).

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

2101222212120 is a wasteful number, since it uses less digits than its factorization.

2101222212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135737929 (or 135737922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2101222212120 its reverse (212122221012), we get a palindrome (2313344433132).

It can be divided in two parts, 210122 and 2212120, that added together give a palindrome (2422242).

The spelling of 2101222212120 in words is "two trillion, one hundred one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 135737869 271475738 407213607 542951476 678689345 814427214 1085902952 1221640821 1357378690 1628854428 2036068035 2443281642 2714757380 3257708856 4072136070 4886563284 5429514760 5836728367 6108204105 8144272140 9773126568 11673456734 12216408210 16288544280 17510185101 23346913468 24432816420 29183641835 35020370202 46693826936 48865632840 52530555303 58367283670 70040740404 87550925505 105061110606 116734567340 140081480808 175101851010 210122221212 233469134680 262652776515 350203702020 420244442424 525305553030 700407404040 1050611106060 2101222212120