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111023103002031 = 331129591553140681
BaseRepresentation
bin11001001111100110010100…
…100111011100010110101111
3112120002201000221100022102000
4121033212110213130112233
5104023000303332031111
61032043150455503343
732246103663532623
oct3117462447342657
9476081027308360
10111023103002031
11324146a73074a0
1210551030687b53
1349c4583a811ac
141d5b792809183
15cc7e74332c56
hex64f9949dc5af

111023103002031 has 128 divisors (see below), whose sum is σ = 188887531392000. Its totient is φ = 63823792435200.

The previous prime is 111023103001969. The next prime is 111023103002069. The reversal of 111023103002031 is 130200301320111.

111023103002031 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 2 + 310 + 300 + 20 + 31 = 666.

It is not a de Polignac number, because 111023103002031 - 214 = 111023102985647 is a prime.

It is a super-2 number, since 2×1110231030020312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111023103001995 and 111023103002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111023103002531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 789113011 + ... + 789253691.

It is an arithmetic number, because the mean of its divisors is an integer number (1475683839000).

Almost surely, 2111023103002031 is an apocalyptic number.

111023103002031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111023103002031 is a deficient number, since it is larger than the sum of its proper divisors (77864428389969).

111023103002031 is a wasteful number, since it uses less digits than its factorization.

111023103002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142342 (or 142336 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111023103002031 its reverse (130200301320111), we get a palindrome (241223404322142).

The spelling of 111023103002031 in words is "one hundred eleven trillion, twenty-three billion, one hundred three million, two thousand, thirty-one".

Divisors: 1 3 9 11 27 29 33 59 87 99 177 261 297 319 531 649 783 957 1553 1593 1711 1947 2871 4659 5133 5841 8613 13977 15399 17083 17523 18821 41931 45037 46197 51249 56463 91627 135111 140681 153747 169389 274881 405333 422043 461241 495407 508167 824643 1007897 1215999 1266129 1486221 1547491 2473929 2657183 3023691 3798387 4079749 4458663 4642473 7971549 8300179 9071073 12239247 13375989 13927419 23914647 24900537 27213219 29229013 36717741 41782257 44877239 71743941 74701611 87687039 91301969 110153223 134631717 218477593 224104833 240705191 263061117 273905907 403895151 655432779 722115573 789183351 821717721 1211685453 1966298337 2166346719 2403253523 2465153163 2647757101 5898895011 6335850197 6499040157 7209760569 7943271303 12890177987 19007550591 21629281707 23829813909 38670533961 57022651773 64887845121 69694352167 71489441727 116011601883 141791957857 171067955319 209083056501 348034805649 373815161623 425375873571 627249169503 1121445484869 1276127620713 1881747508509 3364336454607 3828382862139 4111966777853 10093009363821 12335900333559 37007701000677 111023103002031