Search a number
-
+
1032230212020 = 2232571051779477
BaseRepresentation
bin11110000010101011011…
…01110001000110110100
310122200100220020211121100
433001111231301012310
5113403001413241040
62110111111450100
7134401425014520
oct17012555610664
93580326224540
101032230212020
11368848054257
12148077986930
137645370c907
1437d62b54d80
151bcb6078b30
hexf055b711b4

1032230212020 has 144 divisors (see below), whose sum is σ = 3581807419008. Its totient is φ = 235713542400.

The previous prime is 1032230212003. The next prime is 1032230212031. The reversal of 1032230212020 is 202120322301.

1032230212020 is a `hidden beast` number, since 1 + 0 + 322 + 302 + 1 + 20 + 20 = 666.

1032230212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1032230211984 and 1032230212002.

It is a congruent number.

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, 934522 + ... + 1713998.

It is an arithmetic number, because the mean of its divisors is an integer number (24873662632).

Almost surely, 21032230212020 is an apocalyptic number.

1032230212020 is a gapful number since it is divisible by the number (10) 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 1032230212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790903709504).

1032230212020 is an abundant number, since it is smaller than the sum of its proper divisors (2549577206988).

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

1032230212020 is a wasteful number, since it uses less digits than its factorization.

1032230212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780550 (or 780545 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1032230212020 its reverse (202120322301), we get a palindrome (1234350534321).

The spelling of 1032230212020 in words is "one trillion, thirty-two billion, two hundred thirty million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1051 1260 2102 3153 4204 5255 6306 7357 9459 10510 12612 14714 15765 18918 21020 22071 29428 31530 36785 37836 44142 47295 63060 66213 73570 88284 94590 110355 132426 147140 189180 220710 264852 331065 441420 662130 779477 1324260 1558954 2338431 3117908 3897385 4676862 5456339 7015293 7794770 9353724 10912678 11692155 14030586 15589540 16369017 21825356 23384310 27281695 28061172 32738034 35076465 46768620 49107051 54563390 65476068 70152930 81845085 98214102 109126780 140305860 163690170 196428204 245535255 327380340 491070510 819230327 982141020 1638460654 2457690981 3276921308 4096151635 4915381962 5734612289 7373072943 8192303270 9830763924 11469224578 12288454905 14746145886 16384606540 17203836867 22938449156 24576909810 28673061445 29492291772 34407673734 36865364715 49153819620 51611510601 57346122890 68815347468 73730729430 86019184335 103223021202 114692245780 147461458860 172038368670 206446042404 258057553005 344076737340 516115106010 1032230212020