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20013321014032 = 2417734572205521
BaseRepresentation
bin1001000110011101101101…
…11000111100101100010000
32121212020212202022010120211
410203032312320330230100
510110344240134422112
6110321554233413504
74133625515540323
oct443166670745420
977766782263524
1020013321014032
116416668a6a045
1222b287086a294
13b2232c030368
144d29154aa7ba
1524a8d45980a7
hex1233b6e3cb10

20013321014032 has 80 divisors (see below), whose sum is σ = 41710249806192. Its totient is φ = 9268688977920.

The previous prime is 20013321014023. The next prime is 20013321014081. The reversal of 20013321014032 is 23041012331002.

It can be written as a sum of positive squares in 8 ways, for example, as 3173656738576 + 16839664275456 = 1781476^2 + 4103616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20013321013994 and 20013321014012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7971432 + ... + 10176952.

Almost surely, 220013321014032 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 20013321014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20855124903096).

20013321014032 is an abundant number, since it is smaller than the sum of its proper divisors (21696928792160).

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

20013321014032 is a wasteful number, since it uses less digits than its factorization.

20013321014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206076 (or 2206070 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20013321014032 its reverse (23041012331002), we get a palindrome (43054333345034).

The spelling of 20013321014032 in words is "twenty trillion, thirteen billion, three hundred twenty-one million, fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 457 584 914 1168 1241 1828 2482 3656 4964 7312 7769 9928 15538 19856 31076 33361 62152 66722 124304 133444 266888 533776 567137 1134274 2205521 2268548 4411042 4537096 8822084 9074192 17644168 35288336 37493857 74987714 149975428 161003033 299950856 322006066 599901712 644012132 1007923097 1288024264 2015846194 2576048528 2737051561 4031692388 5474103122 8063384776 10948206244 16126769552 17134692649 21896412488 34269385298 43792824976 68538770596 73578386081 137077541192 147156772162 274155082384 294313544324 588627088648 1177254177296 1250832563377 2501665126754 5003330253508 10006660507016 20013321014032