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11313011222334 = 235281379721817
BaseRepresentation
bin1010010010100000010000…
…0000111110011100111110
31111001111212012111021200000
42210220010000332130332
52440323021333103314
640021043044215130
72245223651523543
oct244500400763476
944044765437600
1011313011222334
1136719039a6118
12132865469a4a6
13640a73a53693
142b17a4724bca
15149426285209
hexa4a0403e73e

11313011222334 has 96 divisors (see below), whose sum is σ = 25517706885216. Its totient is φ = 3756421992960.

The previous prime is 11313011222321. The next prime is 11313011222411. The reversal of 11313011222334 is 43322211031311.

11313011222334 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 301 + 1 + 2 + 22 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11313011222298 and 11313011222307.

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, 518530194 + ... + 518552010.

It is an arithmetic number, because the mean of its divisors is an integer number (265809446721).

Almost surely, 211313011222334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313011222334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12758853442608).

11313011222334 is an abundant number, since it is smaller than the sum of its proper divisors (14204695662882).

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

11313011222334 is a wasteful number, since it uses less digits than its factorization.

11313011222334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25912 (or 25900 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11313011222334 its reverse (43322211031311), we get a palindrome (54635222253645).

The spelling of 11313011222334 in words is "eleven trillion, three hundred thirteen billion, eleven million, two hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 281 486 562 843 1686 2529 3797 5058 7587 7594 11391 15174 21817 22761 22782 34173 43634 45522 65451 68283 68346 102519 130902 136566 196353 205038 307557 392706 589059 615114 922671 1066957 1178118 1767177 1845342 2133914 3200871 3534354 5301531 6130577 6401742 9602613 10603062 12261154 18391731 19205226 28807839 36783462 55175193 57615678 82839149 86423517 110350386 165525579 165678298 172847034 248517447 259270551 331051158 496576737 497034894 518541102 745552341 993153474 1489730211 1491104682 2236657023 2979460422 4473314046 6709971069 13419942138 20129913207 23277800869 40259826414 46555601738 69833402607 139666805214 209500207821 419000415642 628500623463 1257001246926 1885501870389 3771003740778 5656505611167 11313011222334