Search a number
-
+
20313031320 = 23325101955373
BaseRepresentation
bin10010111010110000…
…000100001010011000
31221102122112220111100
4102322300010022120
5313100114000240
613155350431400
71316242626441
oct227260041230
957378486440
1020313031320
1186841a409a
123b2a962560
131bb94b8c7a
14da9acc2c8
157dd4a0e30
hex4bac04298

20313031320 has 96 divisors (see below), whose sum is σ = 66083331600. Its totient is φ = 5411394816.

The previous prime is 20313031301. The next prime is 20313031337. The reversal of 20313031320 is 2313031302.

20313031320 is a `hidden beast` number, since 2 + 0 + 313 + 0 + 31 + 320 = 666.

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 = 20313031293 and 20313031302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339154 + ... + 394526.

Almost surely, 220313031320 is an apocalyptic number.

20313031320 is a gapful number since it is divisible by the number (20) 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 20313031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33041665800).

20313031320 is an abundant number, since it is smaller than the sum of its proper divisors (45770300280).

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

20313031320 is a wasteful number, since it uses less digits than its factorization.

20313031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56409 (or 56402 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Subtracting from 20313031320 its sum of digits (18), we obtain a palindrome (20313031302).

Adding to 20313031320 its reverse (2313031302), we get a palindrome (22626062622).

The spelling of 20313031320 in words is "twenty billion, three hundred thirteen million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1019 2038 3057 4076 5095 6114 8152 9171 10190 12228 15285 18342 20380 24456 30570 36684 40760 45855 55373 61140 73368 91710 110746 122280 166119 183420 221492 276865 332238 366840 442984 498357 553730 664476 830595 996714 1107460 1328952 1661190 1993428 2214920 2491785 3322380 3986856 4983570 6644760 9967140 19934280 56425087 112850174 169275261 225700348 282125435 338550522 451400696 507825783 564250870 677101044 846376305 1015651566 1128501740 1354202088 1692752610 2031303132 2257003480 2539128915 3385505220 4062606264 5078257830 6771010440 10156515660 20313031320