Search a number
-
+
31202203120 = 24511731912543
BaseRepresentation
bin11101000011110010…
…111101010111110000
32222112112110011000121
4131003302331113300
51002400230444440
622200055300024
72153135231134
oct350362752760
988475404017
1031202203120
1112261915030
12606967a614
132c3347b2aa
14171dd8d3c4
15c2944c34a
hex743cbd5f0

31202203120 has 160 divisors (see below), whose sum is σ = 80675979264. Its totient is φ = 11127859200.

The previous prime is 31202203103. The next prime is 31202203177. The reversal of 31202203120 is 2130220213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31202203094 and 31202203103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12268569 + ... + 12271111.

Almost surely, 231202203120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31202203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40337989632).

31202203120 is an abundant number, since it is smaller than the sum of its proper divisors (49473776144).

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

31202203120 is a wasteful number, since it uses less digits than its factorization.

31202203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31202203120 its reverse (2130220213), we get a palindrome (33332423333).

The spelling of 31202203120 in words is "thirty-one billion, two hundred two million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 191 220 292 365 382 440 584 730 764 803 880 955 1168 1460 1528 1606 1910 2101 2543 2920 3056 3212 3820 4015 4202 5086 5840 6424 7640 8030 8404 10172 10505 12715 12848 13943 15280 16060 16808 20344 21010 25430 27886 27973 32120 33616 40688 42020 50860 55772 55946 64240 69715 84040 101720 111544 111892 139430 139865 153373 168080 185639 203440 223088 223784 278860 279730 306746 371278 447568 485713 557720 559460 613492 742556 766865 928195 971426 1115440 1118920 1226984 1485112 1533730 1856390 1942852 2042029 2237840 2428565 2453968 2970224 3067460 3712780 3885704 4084058 4857130 5342843 6134920 7425560 7771408 8168116 9714260 10210145 10685686 12269840 14851120 16336232 19428520 20420290 21371372 26714215 32672464 35457049 38857040 40840580 42742744 53428430 70914098 81681160 85485488 106856860 141828196 163362320 177285245 213713720 283656392 354570490 390027539 427427440 567312784 709140980 780055078 1418281960 1560110156 1950137695 2836563920 3120220312 3900275390 6240440624 7800550780 15601101560 31202203120