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20213413104 = 24323312832087
BaseRepresentation
bin10010110100110100…
…000011010011110000
31221011201002202222210
4102310310003103300
5312344113204404
613141431332120
71313623114353
oct226464032360
957151082883
1020213413104
118632a43495
123b01521040
131ba197a191
14d9a79a29a
157d4874689
hex4b4d034f0

20213413104 has 160 divisors (see below), whose sum is σ = 56471814144. Its totient is φ = 6211941120.

The previous prime is 20213413079. The next prime is 20213413153. The reversal of 20213413104 is 40131431202.

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, 9684349 + ... + 9686435.

Almost surely, 220213413104 is an apocalyptic number.

20213413104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28235907072).

20213413104 is an abundant number, since it is smaller than the sum of its proper divisors (36258401040).

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

20213413104 is a wasteful number, since it uses less digits than its factorization.

20213413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20213413104 its reverse (40131431202), we get a palindrome (60344844306).

The spelling of 20213413104 in words is "twenty billion, two hundred thirteen million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 276 283 368 372 496 552 566 713 744 849 1104 1132 1426 1488 1698 2087 2139 2264 2852 3396 4174 4278 4528 5704 6261 6509 6792 8348 8556 8773 11408 12522 13018 13584 16696 17112 17546 19527 25044 26036 26319 33392 34224 35092 39054 48001 50088 52072 52638 64697 70184 78108 96002 100176 104144 105276 129394 140368 144003 156216 192004 194091 201779 210552 258788 288006 312432 384008 388182 403558 421104 517576 576012 590621 605337 768016 776364 807116 1035152 1152024 1181242 1210674 1488031 1552728 1614232 1771863 2304048 2362484 2421348 2976062 3105456 3228464 3543726 4464093 4724968 4842696 5952124 7087452 8928186 9449936 9685392 11904248 13584283 14174904 17856372 18309251 23808496 27168566 28349808 35712744 36618502 40752849 54337132 54927753 71425488 73237004 81505698 108674264 109855506 146474008 163011396 217348528 219711012 292948016 326022792 421112773 439422024 652045584 842225546 878844048 1263338319 1684451092 2526676638 3368902184 5053353276 6737804368 10106706552 20213413104