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20201311312 = 24713167251331
BaseRepresentation
bin10010110100000101…
…111000110001010000
31221010212022221110021
4102310011320301100
5312333013430222
613140320113224
71313415212230
oct226405706120
957125287407
1020201311312
118627128206
123ab9465814
131b9c300a60
14d98d29cc0
157d3783ac7
hex4b4178c50

20201311312 has 160 divisors (see below), whose sum is σ = 48800876544. Its totient is φ = 7888320000.

The previous prime is 20201311297. The next prime is 20201311321. The reversal of 20201311312 is 21311310202.

It is a super-2 number, since 2×202013113122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61030987 + ... + 61031317.

Almost surely, 220201311312 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 20201311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24400438272).

20201311312 is an abundant number, since it is smaller than the sum of its proper divisors (28599565232).

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

20201311312 is a wasteful number, since it uses less digits than its factorization.

20201311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20201311312 its reverse (21311310202), we get a palindrome (41512621514).

The spelling of 20201311312 in words is "twenty billion, two hundred one million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 167 182 208 251 331 334 364 502 662 668 728 1004 1169 1324 1336 1456 1757 2008 2171 2317 2338 2648 2672 3263 3514 4016 4303 4342 4634 4676 5296 6526 7028 8606 8684 9268 9352 13052 14056 15197 17212 17368 18536 18704 22841 26104 28112 30121 30394 34424 34736 37072 41917 45682 52208 55277 60242 60788 68848 83081 83834 91364 110554 120484 121576 166162 167668 182728 221108 240968 243152 293419 332324 335336 365456 386939 442216 481936 544921 581567 586838 664648 670672 718601 773878 884432 1080053 1089842 1163134 1173676 1329296 1437202 1547756 2160106 2179684 2326268 2347352 2874404 3095512 3814447 4320212 4359368 4652536 4694704 5030207 5748808 6191024 7560371 7628894 8640424 8718736 9305072 10060414 11497616 13874527 15120742 15257788 17280848 20120828 27749054 30241484 30515576 40241656 55498108 60482968 61031152 80483312 97121689 110996216 120965936 180368851 194243378 221992432 360737702 388486756 721475404 776973512 1262581957 1442950808 1553947024 2525163914 2885901616 5050327828 10100655656 20201311312