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20132230000302 = 2327616079430883
BaseRepresentation
bin1001001001111011001100…
…11010101110111010101110
32122021121210201112111121100
410210331212122232322232
510114321301340002202
6110452341353543530
74145335266334560
oct444754632567256
978247721474540
1020132230000302
116462037a97422
122311917114ba6
13b305cc192074
144d8595973330
1524da4389041c
hex124f666aeeae

20132230000302 has 96 divisors (see below), whose sum is σ = 50676922183680. Its totient is φ = 5656825719360.

The previous prime is 20132230000283. The next prime is 20132230000303. The reversal of 20132230000302 is 20300003223102.

It is a happy number.

20132230000302 is a `hidden beast` number, since 2 + 0 + 132 + 230 + 0 + 0 + 0 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132230000303) 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, 46507753 + ... + 46938635.

It is an arithmetic number, because the mean of its divisors is an integer number (527884606080).

Almost surely, 220132230000302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132230000302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338461091840).

20132230000302 is an abundant number, since it is smaller than the sum of its proper divisors (30544692183378).

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

20132230000302 is a wasteful number, since it uses less digits than its factorization.

20132230000302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437038 (or 437035 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20132230000302 its reverse (20300003223102), we get a palindrome (40432233223404).

The spelling of 20132230000302 in words is "twenty trillion, one hundred thirty-two billion, two hundred thirty million, three hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3843 6079 7686 12158 18237 36474 42553 54711 85106 109422 127659 255318 370819 382977 430883 741638 765954 861766 1112457 1292649 2224914 2585298 2595733 3016181 3337371 3877947 5191466 6032362 6674742 7755894 7787199 9048543 15574398 18097086 23361597 26283863 27145629 46723194 52567726 54291258 78851589 157703178 183987041 236554767 367974082 473109534 551961123 1103922246 1655883369 2619337757 3311766738 5238675514 7858013271 15716026542 18335364299 23574039813 36670728598 47148079626 55006092897 110012185794 159779603177 165018278691 319559206354 330036557382 479338809531 958677619062 1118457222239 1438016428593 2236914444478 2876032857186 3355371666717 6710743333434 10066115000151 20132230000302