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20313231331032 = 23326110514400621
BaseRepresentation
bin1001001111001100010101…
…11100000000111011011000
32122220221000000110210101100
410213212022330000323120
510130302444210043112
6111111434124351400
74164403544300343
oct447461274007330
978827000423340
1020313231331032
11652187a581162
122340a100a5560
13b446b63bb3b3
1450324674545a
152535d8e3e2dc
hex12798af00ed8

20313231331032 has 96 divisors (see below), whose sum is σ = 55970103018960. Its totient is φ = 6653737440000.

The previous prime is 20313231331031. The next prime is 20313231331049. The reversal of 20313231331032 is 23013313231302.

20313231331032 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 2 + 313 + 310 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20313231330987 and 20313231331005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313231331031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2415682 + ... + 6816302.

Almost surely, 220313231331032 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 20313231331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27985051509480).

20313231331032 is an abundant number, since it is smaller than the sum of its proper divisors (35656871687928).

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

20313231331032 is a wasteful number, since it uses less digits than its factorization.

20313231331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401745 (or 4401738 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 20313231331032 its reverse (23013313231302), we get a palindrome (43326544562334).

The spelling of 20313231331032 in words is "twenty trillion, three hundred thirteen billion, two hundred thirty-one million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1051 1098 1464 2102 2196 3153 4204 4392 6306 8408 9459 12612 18918 25224 37836 64111 75672 128222 192333 256444 384666 512888 576999 769332 1153998 1538664 2307996 4400621 4615992 8801242 13201863 17602484 26403726 35204968 39605589 52807452 79211178 105614904 158422356 268437881 316844712 536875762 805313643 1073751524 1610627286 2147503048 2415940929 3221254572 4625052671 4831881858 6442509144 9250105342 9663763716 13875158013 18500210684 19327527432 27750316026 37000421368 41625474039 55500632052 83250948078 111001264104 166501896156 282128212931 333003792312 564256425862 846384638793 1128512851724 1692769277586 2257025703448 2539153916379 3385538555172 5078307832758 6771077110344 10156615665516 20313231331032