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20210020011012 = 223132512066324979
BaseRepresentation
bin1001001100001100000110…
…00100000100110000000100
32122120001121001011111020010
410212012003010010300010
510122110110110323022
6110552204403510220
74154061064453656
oct446060304046004
978501531144203
1020210020011012
116492026470877
122324a06988370
13b37a484a87c0
144dc254dd06d6
15250a97d1c50c
hex126183104c04

20210020011012 has 96 divisors (see below), whose sum is σ = 50990988948480. Its totient is φ = 6193145232000.

The previous prime is 20210020011001. The next prime is 20210020011023. The reversal of 20210020011012 is 21011002001202.

It is an interprime number because it is at equal distance from previous prime (20210020011001) and next prime (20210020011023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809067939 + ... + 809092917.

It is an arithmetic number, because the mean of its divisors is an integer number (531156134880).

Almost surely, 220210020011012 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 20210020011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25495494474240).

20210020011012 is an abundant number, since it is smaller than the sum of its proper divisors (30780968937468).

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

20210020011012 is a wasteful number, since it uses less digits than its factorization.

20210020011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45913 (or 45911 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20210020011012 its reverse (21011002001202), we get a palindrome (41221022012214).

The spelling of 20210020011012 in words is "twenty trillion, two hundred ten billion, twenty million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 251 502 753 1004 1506 3012 3263 6526 9789 13052 19578 20663 24979 39156 41326 49958 61989 74937 82652 99916 123978 149874 247956 268619 299748 324727 537238 649454 805857 974181 1074476 1298908 1611714 1948362 3223428 3896724 5186413 6269729 10372826 12539458 15559239 18809187 20745652 25078916 31118478 37618374 62236956 67423369 75236748 81506477 134846738 163012954 202270107 244519431 269693476 326025908 404540214 489038862 516141077 809080428 978077724 1032282154 1548423231 2064564308 3096846462 6193692924 6709834001 13419668002 20129502003 26839336004 40259004006 80518008012 129551410327 259102820654 388654230981 518205641308 777308461962 1554616923924 1684168334251 3368336668502 5052505002753 6736673337004 10105010005506 20210020011012