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20501110314 = 23319592691259
BaseRepresentation
bin10011000101111101…
…100001111000101010
31221220202110022101000
4103011331201320222
5313441241012224
613230145535430
71324015363626
oct230575417052
957822408330
1020501110314
118770384683
123b81944576
131c1945b209
14dc6a8a186
157eec530c9
hex4c5f61e2a

20501110314 has 128 divisors (see below), whose sum is σ = 48988800000. Its totient is φ = 6335610048.

The previous prime is 20501110313. The next prime is 20501110319. The reversal of 20501110314 is 41301110502.

20501110314 is a `hidden beast` number, since 20 + 501 + 110 + 31 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20501110313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16283017 + ... + 16284275.

It is an arithmetic number, because the mean of its divisors is an integer number (382725000).

Almost surely, 220501110314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20501110314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400000).

20501110314 is an abundant number, since it is smaller than the sum of its proper divisors (28487689686).

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

20501110314 is a wasteful number, since it uses less digits than its factorization.

20501110314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 20501110314 its reverse (41301110502), we get a palindrome (61802220816).

The spelling of 20501110314 in words is "twenty billion, five hundred one million, one hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 59 114 118 171 177 269 342 354 513 531 538 807 1026 1062 1121 1259 1593 1614 2242 2421 2518 3186 3363 3777 4842 5111 6726 7263 7554 10089 10222 11331 14526 15333 15871 20178 22662 23921 30267 30666 31742 33993 45999 47613 47842 60534 67986 71763 74281 91998 95226 137997 142839 143526 148562 215289 222843 275994 285678 301549 338671 428517 430578 445686 603098 645867 668529 677342 857034 904647 1016013 1291734 1337058 1411339 1809294 2005587 2032026 2713941 2822678 3048039 4011174 4234017 5427882 6096078 6434749 8141823 8468034 9144117 12702051 12869498 16283646 18288234 19304247 19981589 25404102 38106153 38608494 39963178 57912741 59944767 76212306 115825482 119889534 173738223 179834301 347476446 359668602 379650191 539502903 759300382 1079005806 1138950573 2277901146 3416851719 6833703438 10250555157 20501110314