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20101133312 = 210132952069
BaseRepresentation
bin10010101110000111…
…101111010000000000
31220212212211101001222
4102232013233100000
5312131342231222
613122341014212
71311060546131
oct225607572000
956785741058
1020101133312
118585624a77
123a8b9b4368
131b84627230
14d898cdc88
157c9a96542
hex4ae1ef400

20101133312 has 88 divisors (see below), whose sum is σ = 44766661800. Its totient is φ = 8957362176.

The previous prime is 20101133309. The next prime is 20101133321. The reversal of 20101133312 is 21333110102.

It can be written as a sum of positive squares in 4 ways, for example, as 3569345536 + 16531787776 = 59744^2 + 128576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360014 + ... + 412082.

Almost surely, 220101133312 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 20101133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22383330900).

20101133312 is an abundant number, since it is smaller than the sum of its proper divisors (24665528488).

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

20101133312 is a wasteful number, since it uses less digits than its factorization.

20101133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52131 (or 52113 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20101133312 its reverse (21333110102), we get a palindrome (41434243414).

The spelling of 20101133312 in words is "twenty billion, one hundred one million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 512 754 832 928 1024 1508 1664 1856 3016 3328 3712 6032 6656 7424 12064 13312 14848 24128 29696 48256 52069 96512 104138 193024 208276 386048 416552 676897 833104 1353794 1510001 1666208 2707588 3020002 3332416 5415176 6040004 6664832 10830352 12080008 13329664 19630013 21660704 24160016 26659328 39260026 43321408 48320032 53318656 78520052 86642816 96640064 157040104 173285632 193280128 314080208 346571264 386560256 628160416 693142528 773120512 1256320832 1546241024 2512641664 5025283328 10050566656 20101133312