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110010100104 = 2334614636011
BaseRepresentation
bin110011001110100011…
…1001110100110001000
3101111221210102010010000
41212131013032212020
53300300041200404
6122312110123000
710643103264552
oct1463507164610
9344853363100
10110010100104
1142722919503
12193a21b0460
13a4b26251b8
1454786924d2
152cdce40339
hex199d1ce988

110010100104 has 160 divisors (see below), whose sum is σ = 313910087040. Its totient is φ = 35984995200.

The previous prime is 110010100099. The next prime is 110010100157. The reversal of 110010100104 is 401001010011.

110010100104 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18298459 + ... + 18304469.

It is an arithmetic number, because the mean of its divisors is an integer number (1961938044).

Almost surely, 2110010100104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156955043520).

110010100104 is an abundant number, since it is smaller than the sum of its proper divisors (203899986936).

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

110010100104 is a wasteful number, since it uses less digits than its factorization.

110010100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6553 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110010100104 its reverse (401001010011), we get a palindrome (511011110115).

The spelling of 110010100104 in words is "one hundred ten billion, ten million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 463 488 549 648 732 926 1098 1389 1464 1647 1852 2196 2778 3294 3704 4167 4392 4941 5556 6011 6588 8334 9882 11112 12022 12501 13176 16668 18033 19764 24044 25002 28243 33336 36066 37503 39528 48088 50004 54099 56486 72132 75006 84729 100008 108198 112972 144264 150012 162297 169458 216396 225944 254187 300024 324594 338916 366671 432792 486891 508374 649188 677832 733342 762561 973782 1016748 1100013 1298376 1466684 1525122 1947564 2033496 2200026 2287683 2783093 2933368 3050244 3300039 3895128 4400052 4575366 5566186 6100488 6600078 8349279 8800104 9150732 9900117 11132372 13200156 16698558 18301464 19800234 22264744 25047837 26400312 29700351 33397116 39600468 50095674 59400702 66794232 75143511 79200936 100191348 118801404 150287022 169768673 200382696 225430533 237602808 300574044 339537346 450861066 509306019 601148088 679074692 901722132 1018612038 1358149384 1527918057 1803444264 2037224076 3055836114 4074448152 4583754171 6111672228 9167508342 12223344456 13751262513 18335016684 27502525026 36670033368 55005050052 110010100104