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20310417126 = 2323143899511
BaseRepresentation
bin10010111010100110…
…000101111011100110
31221102110122002111100
4102322212011323212
5313043431322001
613155214420530
71316211461046
oct227246057346
957373562440
1020310417126
118682778aaa
123b29b01746
131bb8ab20cc
14da960b726
157dd136586
hex4ba985ee6

20310417126 has 96 divisors (see below), whose sum is σ = 47009064960. Its totient is φ = 6326812800.

The previous prime is 20310417079. The next prime is 20310417133. The reversal of 20310417126 is 62171401302.

It is a super-2 number, since 2×203104171262 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20310417126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2130711 + ... + 2140221.

It is an arithmetic number, because the mean of its divisors is an integer number (489677760).

Almost surely, 220310417126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310417126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23504532480).

20310417126 is an abundant number, since it is smaller than the sum of its proper divisors (26698647834).

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

20310417126 is a wasteful number, since it uses less digits than its factorization.

20310417126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 20310417126 its reverse (62171401302), we get a palindrome (82481818428).

The spelling of 20310417126 in words is "twenty billion, three hundred ten million, four hundred seventeen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 43 62 86 89 93 129 178 186 258 267 279 387 534 558 774 801 1333 1602 2666 2759 3827 3999 5518 7654 7998 8277 9511 11481 11997 16554 19022 22962 23994 24831 28533 34443 49662 57066 68886 85599 118637 171198 237274 294841 355911 408973 589682 711822 817946 846479 884523 1067733 1226919 1692958 1769046 2135466 2453838 2539437 2653569 3680757 5078874 5307138 7361514 7618311 12678163 15236622 25356326 26240849 36398597 38034489 52481698 72797194 76068978 78722547 109195791 114103467 157445094 218391582 228206934 236167641 327587373 472335282 655174746 1128356507 2256713014 3385069521 6770139042 10155208563 20310417126