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11133424140102 = 2341197722432851
BaseRepresentation
bin1010001000000011001111…
…0010100111111101000110
31110102100022110201021010000
42202000303302213331012
52424402223034440402
635402342513542130
72226235425516405
oct242006362477506
943370273637100
1011133424140102
1136027277521a0
1212b9895274946
13629b53824394
142a6c096d363c
15144914e42c1c
hexa2033ca7f46

11133424140102 has 160 divisors (see below), whose sum is σ = 27264598061184. Its totient is φ = 3367627488000.

The previous prime is 11133424140043. The next prime is 11133424140119. The reversal of 11133424140102 is 20104142433111.

It is a happy number.

11133424140102 is a `hidden beast` number, since 1 + 1 + 13 + 3 + 4 + 241 + 401 + 0 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3905092977 + ... + 3905095827.

Almost surely, 211133424140102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133424140102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632299030592).

11133424140102 is an abundant number, since it is smaller than the sum of its proper divisors (16131173921082).

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

11133424140102 is a wasteful number, since it uses less digits than its factorization.

11133424140102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11133424140102 its reverse (20104142433111), we get a palindrome (31237566573213).

The spelling of 11133424140102 in words is "eleven trillion, one hundred thirty-three billion, four hundred twenty-four million, one hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 977 1782 1954 2243 2851 2931 4486 5702 5862 6729 8553 8793 10747 13458 17106 17586 20187 21494 24673 25659 26379 31361 32241 40374 49346 51318 52758 60561 62722 64482 74019 76977 79137 94083 96723 121122 148038 153954 158274 181683 188166 193446 222057 230931 282249 290169 363366 444114 461862 564498 580338 666171 846747 870507 1332342 1693494 1741014 1998513 2191411 2540241 2785427 3997026 4382822 5080482 5570854 6394793 6574233 8356281 12789586 13148466 16712562 19184379 19722699 24105521 25068843 30639697 38368758 39445398 48211042 50137686 57553137 59168097 61279394 70342723 72316563 75206529 91919091 115106274 118336194 140685446 144633126 150413058 172659411 177504291 183838182 211028169 216949689 225619587 275757273 345318822 355008582 422056338 433899378 451239174 517978233 551514546 633084507 650849067 827271819 1035956466 1266169014 1301698134 1654543638 1899253521 1952547201 2481815457 3798507042 3905094402 4963630914 5697760563 6247712761 11395521126 12495425522 18743138283 37486276566 56229414849 68724840371 112458829698 137449680742 168688244547 206174521113 337376489094 412349042226 506064733641 618523563339 1012129467282 1237047126678 1855570690017 3711141380034 5566712070051 11133424140102