Search a number
-
+
20212201001120 = 255532383514269
BaseRepresentation
bin1001001100010000001010…
…00011111001000010100000
32122120021020001002021012112
410212020011003321002200
510122124041424013440
6110553205034014452
74154166116536502
oct446100503710240
978507201067175
1020212201001120
116492a45596a37
122325315277428
13b380052b25ab
144dc3c091dd72
15250b74531965
hex1262050f90a0

20212201001120 has 48 divisors (see below), whose sum is σ = 48652293279240. Its totient is φ = 7932335483904.

The previous prime is 20212201001011. The next prime is 20212201001131. The reversal of 20212201001120 is 2110010221202.

It can be written as a sum of positive squares in 4 ways, for example, as 19122674210704 + 1089526790416 = 4372948^2 + 1043804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20212201001095 and 20212201001104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191748655 + ... + 1191765614.

Almost surely, 220212201001120 is an apocalyptic number.

20212201001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212201001120 is an abundant number, since it is smaller than the sum of its proper divisors (28440092278120).

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

20212201001120 is a wasteful number, since it uses less digits than its factorization.

20212201001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383514337 (or 2383514329 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20212201001120 its reverse (2110010221202), we get a palindrome (22322211222322).

The spelling of 20212201001120 in words is "twenty trillion, two hundred twelve billion, two hundred one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 2383514269 4767028538 9534057076 11917571345 19068114152 23835142690 38136228304 47670285380 76272456608 95340570760 126326256257 190681141520 252652512514 381362283040 505305025028 631631281285 1010610050056 1263262562570 2021220100112 2526525125140 4042440200224 5053050250280 10106100500560 20212201001120