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1032201222320 = 245175711329197
BaseRepresentation
bin11110000010100111111…
…11001011100010110000
310122200021212201000012202
433001103333023202300
5113402422003103240
62110104154242332
7134400623424452
oct17012377134260
93580255630182
101032201222320
11368832753924
1214806a1263a8
137644a6cc748
1437d5cd6a2d2
151bcb374e315
hexf053fcb8b0

1032201222320 has 80 divisors (see below), whose sum is σ = 2545488605088. Its totient is φ = 387912560640.

The previous prime is 1032201222307. The next prime is 1032201222361. The reversal of 1032201222320 is 232221022301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1032201222292 and 1032201222301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111962 + ... + 1441158.

Almost surely, 21032201222320 is an apocalyptic number.

1032201222320 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 1032201222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272744302544).

1032201222320 is an abundant number, since it is smaller than the sum of its proper divisors (1513287382768).

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

1032201222320 is a wasteful number, since it uses less digits than its factorization.

1032201222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329798 (or 1329792 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1032201222320 its reverse (232221022301), we get a palindrome (1264422244621).

It can be divided in two parts, 1032201 and 222320, that added together give a palindrome (1254521).

The spelling of 1032201222320 in words is "one trillion, thirty-two billion, two hundred one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 571 680 1142 1360 2284 2855 4568 5710 9136 9707 11420 19414 22840 38828 45680 48535 77656 97070 155312 194140 388280 776560 1329197 2658394 5316788 6645985 10633576 13291970 21267152 22596349 26583940 45192698 53167880 90385396 106335760 112981745 180770792 225963490 361541584 451926980 758971487 903853960 1517942974 1807707920 3035885948 3794857435 6071771896 7589714870 12143543792 12902515279 15179429740 25805030558 30358859480 51610061116 60717718960 64512576395 103220122232 129025152790 206440244464 258050305580 516100611160 1032201222320