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11321242205364 = 22327138534051363
BaseRepresentation
bin1010010010111110111010…
…0111101011110010110100
31111002022002211112112201100
42210233232213223302310
52440441401001032424
640024523514530100
72245634635652610
oct244575647536264
944068084475640
1011321242205364
113675348098533
12132a171136930
136417860ab340
142b1d45958340
15149758ba9dc9
hexa4bee9ebcb4

11321242205364 has 144 divisors (see below), whose sum is σ = 35262942612352. Its totient is φ = 2982321006336.

The previous prime is 11321242205363. The next prime is 11321242205437. The reversal of 11321242205364 is 46350224212311.

It is a happy number.

11321242205364 is a `hidden beast` number, since 1 + 1 + 32 + 1 + 242 + 20 + 5 + 364 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321242205363) 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, 768747 + ... + 4820109.

Almost surely, 211321242205364 is an apocalyptic number.

11321242205364 is a gapful number since it is divisible by the number (14) 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 11321242205364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631471306176).

11321242205364 is an abundant number, since it is smaller than the sum of its proper divisors (23941700406988).

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

11321242205364 is a wasteful number, since it uses less digits than its factorization.

11321242205364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052246 (or 4052241 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 11321242205364 its reverse (46350224212311), we get a palindrome (57671466417675).

The spelling of 11321242205364 in words is "eleven trillion, three hundred twenty-one billion, two hundred forty-two million, two hundred five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 853 1092 1638 1706 2559 3276 3412 5118 5971 7677 10236 11089 11942 15354 17913 22178 23884 30708 33267 35826 44356 53739 66534 71652 77623 99801 107478 133068 155246 199602 214956 232869 310492 399204 465738 698607 931476 1397214 2794428 4051363 8102726 12154089 16205452 24308178 28359541 36462267 48616356 52667719 56719082 72924534 85078623 105335438 113438164 145849068 158003157 170157246 210670876 255235869 316006314 340314492 368674033 474009471 510471738 632012628 737348066 948018942 1020943476 1106022099 1474696132 1896037884 2212044198 3318066297 3455812639 4424088396 6636132594 6911625278 10367437917 13272265188 13823250556 20734875834 24190688473 31102313751 41469751668 44925564307 48381376946 62204627502 72572065419 89851128614 96762753892 124409255004 134776692921 145144130838 179702257228 217716196257 269553385842 290288261676 314478950149 404330078763 435432392514 539106771684 628957900298 808660157526 870864785028 943436850447 1257915800596 1617320315052 1886873700894 2830310551341 3773747401788 5660621102682 11321242205364