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11043320106654 = 23311413533128347
BaseRepresentation
bin1010000010110011100100…
…1011000000111010011110
31110002201201222002002221000
42200230321023000322132
52421413204421403104
635253121535451130
72216565524051343
oct240547113007236
943081658062830
1011043320106654
11357849a335250
1212a4329686aa6
136214c42a8764
142a26dca747ca
151423de8b6639
hexa0b392c0e9e

11043320106654 has 128 divisors (see below), whose sum is σ = 27432629199360. Its totient is φ = 3263890118400.

The previous prime is 11043320106631. The next prime is 11043320106659. The reversal of 11043320106654 is 45660102334011.

11043320106654 is a `hidden beast` number, since 1 + 10 + 433 + 201 + 0 + 6 + 6 + 5 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11043320106659) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85978509 + ... + 86106855.

It is an arithmetic number, because the mean of its divisors is an integer number (214317415620).

Almost surely, 211043320106654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11043320106654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716314599680).

11043320106654 is an abundant number, since it is smaller than the sum of its proper divisors (16389309092706).

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

11043320106654 is a wasteful number, since it uses less digits than its factorization.

11043320106654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131943 (or 131937 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11043320106654 in words is "eleven trillion, forty-three billion, three hundred twenty million, one hundred six thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 902 1107 1353 2214 2706 3533 4059 7066 8118 10599 12177 21198 24354 31797 38863 63594 77726 95391 116589 128347 144853 190782 233178 256694 289706 349767 385041 434559 699534 770082 869118 1049301 1155123 1303677 1411817 1593383 2098602 2310246 2607354 2823634 3186766 3465369 3911031 4235451 4780149 5262227 6930738 7822062 8470902 9560298 10524454 12706353 14340447 15786681 25412706 28680894 31573362 38119059 43021341 47360043 57884497 76238118 86042682 94720086 115768994 142080129 173653491 284160258 347306982 453449951 520960473 906899902 1041920946 1360349853 1562881419 2720699706 3125762838 4081049559 4987949461 8162099118 9975898922 12243148677 14963848383 18591447991 24486297354 29927696766 37182895982 44891545149 55774343973 89783090298 111548687946 134674635447 167323031919 204505927901 269349270894 334646063838 409011855802 501969095757 613517783703 1003938191514 1227035567406 1840553351109 3681106702218 5521660053327 11043320106654