Search a number
-
+
20212312331358 = 23272571622938461
BaseRepresentation
bin1001001100010000010111…
…01100100101010001011110
32122120021111210120102120200
410212020023230211101132
510122124303424100413
6110553224052124330
74154201641041450
oct446101354452136
978507453512520
1020212312331358
116492aa2416aa4
1223253466066a6
13b38022392284
144dc3d16202d0
15250b7e1c3573
hex12620bb2545e

20212312331358 has 96 divisors (see below), whose sum is σ = 50248682976960. Its totient is φ = 5751971758080.

The previous prime is 20212312331269. The next prime is 20212312331359. The reversal of 20212312331358 is 85313321321202.

20212312331358 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 2 + 312 + 331 + 3 + 5 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212312331359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525508248 + ... + 525546708.

It is an arithmetic number, because the mean of its divisors is an integer number (523423781010).

Almost surely, 220212312331358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212312331358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25124341488480).

20212312331358 is an abundant number, since it is smaller than the sum of its proper divisors (30036370645602).

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

20212312331358 is a wasteful number, since it uses less digits than its factorization.

20212312331358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54962 (or 54959 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20212312331358 in words is "twenty trillion, two hundred twelve billion, three hundred twelve million, three hundred thirty-one thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 257 514 771 1542 1799 2313 3598 4626 5397 10794 16191 16229 32382 32458 38461 48687 76922 97374 113603 115383 146061 227206 230766 269227 292122 340809 346149 538454 681618 692298 807681 1022427 1615362 2044854 2423043 4170853 4846086 8341706 9884477 12512559 19768954 25025118 29195971 29653431 37537677 58391942 59306862 69191339 75075354 87587913 88960293 138382678 175175826 177920586 207574017 262763739 415148034 525527478 622722051 624183569 1245444102 1248367138 1872550707 3745101414 4369284983 5617652121 8738569966 11235304242 13107854949 26215709898 39323564847 78647129694 160415177233 320830354466 481245531699 962491063398 1122906240631 1443736595097 2245812481262 2887473190194 3368718721893 6737437443786 10106156165679 20212312331358