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30110202000120 = 23351138235966717
BaseRepresentation
bin1101101100010100100111…
…11001001111001011111000
310221121111200202012101221010
412312022103321033023320
512421311143203000440
6144012234050313520
76225250606054254
oct666122371171370
9127544622171833
1030110202000120
11965973506a910
1234636858888a0
1313a54c2743948
147614ad313264
1537337e9c3580
hex1b6293e4f2f8

30110202000120 has 128 divisors (see below), whose sum is σ = 98568272010240. Its totient is φ = 7297532336640.

The previous prime is 30110202000037. The next prime is 30110202000157. The reversal of 30110202000120 is 2100020201103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30110202000096 and 30110202000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063002 + ... + 8029718.

It is an arithmetic number, because the mean of its divisors is an integer number (770064625080).

Almost surely, 230110202000120 is an apocalyptic number.

30110202000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30110202000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49284136005120).

30110202000120 is an abundant number, since it is smaller than the sum of its proper divisors (68458070010120).

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

30110202000120 is a wasteful number, since it uses less digits than its factorization.

30110202000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970565 (or 5970561 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30110202000120 its reverse (2100020201103), we get a palindrome (32210222201223).

The spelling of 30110202000120 in words is "thirty trillion, one hundred ten billion, two hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3823 7646 11469 15292 19115 22938 30584 38230 42053 45876 57345 76460 84106 91752 114690 126159 152920 168212 210265 229380 252318 336424 420530 458760 504636 630795 841060 1009272 1261590 1682120 2523180 5046360 5966717 11933434 17900151 23866868 29833585 35800302 47733736 59667170 65633887 71600604 89500755 119334340 131267774 143201208 179001510 196901661 238668680 262535548 328169435 358003020 393803322 525071096 656338870 716006040 787606644 984508305 1312677740 1575213288 1969016610 2625355480 3938033220 7876066440 22810759091 45621518182 68432277273 91243036364 114053795455 136864554546 182486072728 228107590910 250918350001 273729109092 342161386365 456215181820 501836700002 547458218184 684322772730 752755050003 912430363640 1003673400004 1254591750005 1368645545460 1505510100006 2007346800008 2509183500010 2737291090920 3011020200012 3763775250015 5018367000020 6022040400024 7527550500030 10036734000040 15055101000060 30110202000120