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1041110211042 = 234114727894457
BaseRepresentation
bin11110010011001110000…
…00010001100111100010
310200112021202112112020000
433021213000101213202
5114024143203223132
62114140205000430
7135134452531506
oct17114700214742
93615252475200
101041110211042
11371594632a20
12149935853116
137723a3656c5
1438566250306
151c13594e87c
hexf2670119e2

1041110211042 has 160 divisors (see below), whose sum is σ = 2600598908160. Its totient is φ = 308595467520.

The previous prime is 1041110211041. The next prime is 1041110211047. The reversal of 1041110211042 is 2401120111401.

1041110211042 is a `hidden beast` number, since 1 + 0 + 411 + 1 + 0 + 211 + 0 + 42 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1041110211041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 233587678 + ... + 233592134.

It is an arithmetic number, because the mean of its divisors is an integer number (16253743176).

Almost surely, 21041110211042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041110211042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300299454080).

1041110211042 is an abundant number, since it is smaller than the sum of its proper divisors (1559488697118).

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

1041110211042 is a wasteful number, since it uses less digits than its factorization.

1041110211042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1041110211042 its reverse (2401120111401), we get a palindrome (3442230322443).

The spelling of 1041110211042 in words is "one trillion, forty-one billion, one hundred ten million, two hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 81 94 99 141 162 198 282 297 423 517 594 846 891 1034 1269 1551 1782 2538 2789 3102 3807 4457 4653 5578 7614 8367 8914 9306 13371 13959 16734 25101 26742 27918 30679 40113 41877 49027 50202 61358 75303 80226 83754 92037 98054 120339 131083 147081 150606 184074 209479 225909 240678 262166 276111 294162 361017 393249 418958 441243 451818 552222 628437 722034 786498 828333 882486 1179747 1256874 1323729 1441913 1656666 1885311 2304269 2359494 2484999 2647458 2883826 3539241 3770622 3971187 4325739 4608538 4969998 5655933 6912807 7078482 7942374 8651478 10617723 11311866 12430573 12977217 13825614 16967799 20738421 21235446 24861146 25954434 33935598 37291719 38931651 41476842 62215263 74583438 77863302 111875157 116794953 124430526 136736303 186645789 223750314 233589906 273472606 335625471 373291578 410208909 584236931 671250942 820417818 1006876413 1168473862 1230626727 1752710793 2013752826 2461253454 3505421586 3691880181 5258132379 6426606241 7383760362 10516264758 11075640543 12853212482 15774397137 19279818723 22151281086 31548794274 38559637446 47323191411 57839456169 94646382822 115678912338 173518368507 347036737014 520555105521 1041110211042