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30110332001232 = 2437929156761559
BaseRepresentation
bin1101101100010100110111…
…01001001001101111010000
310221121112000210211010221010
412312022123221021233100
512421311424443014412
6144012255012530520
76225254045051250
oct666123351115720
9127545023733833
1030110332001232
1196597a149264a
123463701320a40
1313a551365ca92
147614c26b3960
1537338b10233c
hex1b629ba49bd0

30110332001232 has 160 divisors (see below), whose sum is σ = 89051100364800. Its totient is φ = 8588067876864.

The previous prime is 30110332001227. The next prime is 30110332001293. The reversal of 30110332001232 is 23210023301103.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 30110332001199 and 30110332001208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489098869 + ... + 489160427.

It is an arithmetic number, because the mean of its divisors is an integer number (556569377280).

Almost surely, 230110332001232 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 30110332001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44525550182400).

30110332001232 is an abundant number, since it is smaller than the sum of its proper divisors (58940768363568).

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

30110332001232 is a wasteful number, since it uses less digits than its factorization.

30110332001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64073 (or 64067 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30110332001232 its reverse (23210023301103), we get a palindrome (53320355302335).

The spelling of 30110332001232 in words is "thirty trillion, one hundred ten billion, three hundred thirty-two million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 929 1567 1858 2787 3134 3716 4701 5574 6268 6503 7432 9402 10969 11148 12536 13006 14864 18804 19509 21938 22296 25072 26012 32907 37608 39018 43876 44592 52024 61559 65814 75216 78036 87752 104048 123118 131628 156072 175504 184677 246236 263256 312144 369354 430913 492472 526512 738708 861826 984944 1292739 1455743 1477416 1723652 2585478 2911486 2954832 3447304 4367229 5170956 5822972 6894608 8734458 10190201 10341912 11645944 17468916 20380402 20683824 23291888 30570603 34937832 40760804 57188311 61141206 69875664 81521608 96462953 114376622 122282412 163043216 171564933 192925906 228753244 244564824 289388859 343129866 385851812 400318177 457506488 489129648 578777718 675240671 686259732 771703624 800636354 915012976 1157555436 1200954531 1350481342 1372519464 1543407248 1601272708 2025722013 2315110872 2401909062 2700962684 2745038928 3202545416 4051444026 4630221744 4803818124 5401925368 6405090832 8102888052 9607636248 10803850736 16205776104 19215272496 32411552208 89614083337 179228166674 268842250011 358456333348 537684500022 627298583359 716912666696 1075369000044 1254597166718 1433825333392 1881895750077 2150738000088 2509194333436 3763791500154 4301476000176 5018388666872 7527583000308 10036777333744 15055166000616 30110332001232