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102033103112110 = 251961109307263083
BaseRepresentation
bin10111001100110001101110…
…110111011100011110101110
3111101021021021101111201012001
4113030301232313130132232
5101333202243344041420
61001001205510202514
730330435261355252
oct2714615667343656
9441237241451161
10102033103112110
112a568aa5789055
12b53a84795343a
1344c18ac919b01
141b2a5ddcb4262
15bbe1ada36b0a
hex5ccc6eddc7ae

102033103112110 has 128 divisors (see below), whose sum is σ = 198944541734400. Its totient is φ = 37559522603520.

The previous prime is 102033103112099. The next prime is 102033103112111. The reversal of 102033103112110 is 11211301330201.

It is a super-4 number, since 4×1020331031121104 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033103112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387704629 + ... + 387967711.

It is an arithmetic number, because the mean of its divisors is an integer number (1554254232300).

Almost surely, 2102033103112110 is an apocalyptic number.

102033103112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102033103112110 is a deficient number, since it is larger than the sum of its proper divisors (96911438622290).

102033103112110 is a wasteful number, since it uses less digits than its factorization.

102033103112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263586.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 102033103112110 its reverse (11211301330201), we get a palindrome (113244404442311).

The spelling of 102033103112110 in words is "one hundred two trillion, thirty-three billion, one hundred three million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 10 19 38 61 95 109 122 190 218 305 307 545 610 614 1090 1159 1535 2071 2318 3070 4142 5795 5833 6649 10355 11590 11666 13298 18727 20710 29165 33245 33463 37454 58330 66490 66926 93635 126331 167315 187270 252662 263083 334630 355813 526166 631655 635797 711626 1263310 1271594 1315415 1779065 2041243 2630830 3178985 3558130 4082486 4998577 6357970 9997154 10206215 16048063 20412430 24992885 28676047 32096126 38783617 49985770 57352094 77567234 80240315 80766481 143380235 160480630 161532962 193918085 286760470 304913197 387836170 403832405 544844893 609826394 807664810 1089689786 1524565985 1534563139 1749238867 2724224465 3049131970 3069126278 3498477734 4926755341 5448448930 7672815695 8746194335 8803546429 9853510682 15345631390 17492388670 17607092858 24633776705 33235538473 44017732145 49267553410 66471076946 88035464290 93608351479 166177692365 167267382151 187216702958 332355384730 334534764302 468041757395 537016332169 836336910755 936083514790 1074032664338 1672673821510 2685081660845 5370163321690 10203310311211 20406620622422 51016551556055 102033103112110