Search a number
-
+
20311111111302 = 23211536173136949
BaseRepresentation
bin1001001111001000011001…
…00100000001001010000110
32122220201112020220110200200
410213210030210001022012
510130234123421030202
6111110443504551330
74164300160600614
oct447441444011206
978821466813620
1020311111111302
116520991792750
12234051a022546
13b444390710cb
145030c4d146b4
15253512c30e1c
hex12790c901286

20311111111302 has 96 divisors (see below), whose sum is σ = 48993186247200. Its totient is φ = 6028963100160.

The previous prime is 20311111111289. The next prime is 20311111111307.

20311111111302 is a `hidden beast` number, since 20 + 311 + 11 + 11 + 11 + 302 = 666.

20311111111302 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311111111307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4906324 + ... + 8043272.

It is an arithmetic number, because the mean of its divisors is an integer number (510345690075).

Almost surely, 220311111111302 is an apocalyptic number.

20311111111302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311111111302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24496593123600).

20311111111302 is an abundant number, since it is smaller than the sum of its proper divisors (28682075135898).

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

20311111111302 is a wasteful number, since it uses less digits than its factorization.

20311111111302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137638 (or 3137635 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 2031111 and 1111302, that added together give a palindrome (3142413).

The spelling of 20311111111302 in words is "twenty trillion, three hundred eleven billion, one hundred eleven million, one hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 617 954 1166 1234 1749 1851 3498 3702 5247 5553 6787 10494 11106 13574 20361 32701 40722 61083 65402 98103 122166 196206 294309 359711 588618 719422 1079133 2158266 3136949 3237399 6273898 6474798 9410847 18821694 28232541 34506439 56465082 69012878 103519317 166258297 207038634 310557951 332516594 498774891 621115902 997549782 1496324673 1828841267 1935497533 2992649346 3657682534 3870995066 5486523801 5806492599 10973047602 11612985198 16459571403 17419477797 21290472863 32919142806 34838955594 42580945726 63871418589 102581369249 127742837178 191614255767 205162738498 307744107747 383228511534 615488215494 923232323241 1128395061739 1846464646482 2256790123478 3385185185217 6770370370434 10155555555651 20311111111302