Search a number
-
+
2122022001132 = 22321117653482717
BaseRepresentation
bin11110111000010010010…
…111100001100111101100
321111212022100202202120100
4132320102113201213230
5234231400113014012
64302502103551100
7306211453254345
oct36702227414754
97455270682510
102122022001132
11748a4310a320
122a3318a5b490
1312514b629cc7
14749c657b0cc
153a2ea73e8dc
hex1ee125e19ec

2122022001132 has 144 divisors (see below), whose sum is σ = 6205351475232. Its totient is φ = 604283197440.

The previous prime is 2122022001091. The next prime is 2122022001157. The reversal of 2122022001132 is 2311002202212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4154638 + ... + 4637354.

It is an arithmetic number, because the mean of its divisors is an integer number (43092718578).

Almost surely, 22122022001132 is an apocalyptic number.

2122022001132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122022001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102675737616).

2122022001132 is an abundant number, since it is smaller than the sum of its proper divisors (4083329474100).

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

2122022001132 is a wasteful number, since it uses less digits than its factorization.

2122022001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483408 (or 483403 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2122022001132 its reverse (2311002202212), we get a palindrome (4433024203344).

The spelling of 2122022001132 in words is "two trillion, one hundred twenty-two billion, twenty-two million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 653 748 1122 1306 1683 1959 2244 2612 3366 3918 5877 6732 7183 7836 11101 11754 14366 21549 22202 23508 28732 33303 43098 44404 64647 66606 86196 99909 122111 129294 133212 199818 244222 258588 366333 399636 482717 488444 732666 965434 1098999 1448151 1465332 1930868 2197998 2896302 4344453 4395996 5309887 5792604 8206189 8688906 10619774 15929661 16412378 17377812 21239548 24618567 31859322 32824756 47788983 49237134 63718644 73855701 90268079 95577966 98474268 147711402 180536158 191155932 270804237 295422804 315214201 361072316 541608474 630428402 812412711 945642603 1083216948 1260856804 1624825422 1891285206 2836927809 3249650844 3467356211 3782570412 5358641417 5673855618 6934712422 10402068633 10717282834 11347711236 13869424844 16075924251 20804137266 21434565668 31206205899 32151848502 41608274532 48227772753 58945055587 62412411798 64303697004 96455545506 117890111174 124824823596 176835166761 192911091012 235780222348 353670333522 530505500283 707340667044 1061011000566 2122022001132