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20103201312 = 2531314213797
BaseRepresentation
bin10010101110001111…
…101000001000100000
31220220000201102211120
4102232033220020200
5312132404420222
613122453212240
71311114251235
oct225617501040
956800642746
1020103201312
118586807767
123a90631080
131b84b9c5bc
14d89cab78c
157c9d5415c
hex4ae3e8220

20103201312 has 96 divisors (see below), whose sum is σ = 53314075584. Its totient is φ = 6632371200.

The previous prime is 20103201311. The next prime is 20103201353. The reversal of 20103201312 is 21310230102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20103201291 and 20103201300.

It is not an unprimeable number, because it can be changed into a prime (20103201311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5292598 + ... + 5296394.

It is an arithmetic number, because the mean of its divisors is an integer number (555354954).

Almost surely, 220103201312 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 20103201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26657037792).

20103201312 is an abundant number, since it is smaller than the sum of its proper divisors (33210874272).

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

20103201312 is a wasteful number, since it uses less digits than its factorization.

20103201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20103201312 its reverse (21310230102), we get a palindrome (41413431414).

The spelling of 20103201312 in words is "twenty billion, one hundred three million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 421 524 786 842 1048 1263 1572 1684 2096 2526 3144 3368 3797 4192 5052 6288 6736 7594 10104 11391 12576 13472 15188 20208 22782 30376 40416 45564 55151 60752 91128 110302 121504 165453 182256 220604 330906 364512 441208 497407 661812 882416 994814 1323624 1492221 1598537 1764832 1989628 2647248 2984442 3197074 3979256 4795611 5294496 5968884 6394148 7958512 9591222 11937768 12788296 15917024 19182444 23875536 25576592 38364888 47751072 51153184 76729776 153459552 209408347 418816694 628225041 837633388 1256450082 1675266776 2512900164 3350533552 5025800328 6701067104 10051600656 20103201312