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110220203003031 = 3511195179419047
BaseRepresentation
bin11001000011111010100100…
…000011000000110010010111
3112110020221121110100100200000
4121003322210003000302113
5103421321433432044111
61030230243502222343
732134101244253202
oct3103724403006227
9473227543310600
10110220203003031
1132135142184610
12104414b6b849b3
13496694a0643a4
141d3098726c939
15cb2131651c56
hex643ea40c0c97

110220203003031 has 96 divisors (see below), whose sum is σ = 189629612390400. Its totient is φ = 63271956682080.

The previous prime is 110220203002939. The next prime is 110220203003059. The reversal of 110220203003031 is 130300302022011.

110220203003031 is a `hidden beast` number, since 1 + 102 + 202 + 0 + 300 + 30 + 31 = 666.

It is not a de Polignac number, because 110220203003031 - 229 = 110219666132119 is a prime.

It is a super-2 number, since 2×1102202030030312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110220203002995 and 110220203003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110220203003531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262816350 + ... + 263235396.

It is an arithmetic number, because the mean of its divisors is an integer number (1975308462400).

Almost surely, 2110220203003031 is an apocalyptic number.

110220203003031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110220203003031 is a deficient number, since it is larger than the sum of its proper divisors (79409409387369).

110220203003031 is a wasteful number, since it uses less digits than its factorization.

110220203003031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424271 (or 424259 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110220203003031 its reverse (130300302022011), we get a palindrome (240520505025042).

The spelling of 110220203003031 in words is "one hundred ten trillion, two hundred twenty billion, two hundred three million, three thousand, thirty-one".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 243 297 513 627 891 1539 1881 2673 4617 5179 5643 15537 16929 46611 50787 56969 98401 139833 170907 295203 419047 419499 512721 885609 1082411 1257141 1258497 1538163 2656827 3247233 3771423 4609517 4614489 7961893 7970481 9741699 11314269 13828551 13843467 23885679 23911443 29225097 33942807 41485653 71657037 87580823 87675291 101828421 124456959 214971111 262742469 263025873 373370877 644913333 788227407 1120112631 1934739999 2170244413 2364682221 6510733239 7094046663 19532199717 21282139989 23872688543 41234643847 58596599151 71618065629 123703931541 175789797453 214854196887 371111794623 453581082317 527369392359 644562590661 1113335383869 1360743246951 1933687771983 3340006151607 4082229740853 5801063315949 10020018454821 12246689222559 36740067667677 110220203003031