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30102030223232 = 271189971247391
BaseRepresentation
bin1101101100000101011001…
…10100011000011110000000
310221120201121020120010102212
412312002230310120132000
512421142424214120412
6144004403133001252
76224541241104662
oct666025464303600
9127521536503385
1030102030223232
1196562213369a0
123461b85023228
1313a47bc7487c6
14760d35cd2532
15373052396222
hex1b60acd18780

30102030223232 has 128 divisors (see below), whose sum is σ = 66224067609600. Its totient is φ = 13515014656000.

The previous prime is 30102030223219. The next prime is 30102030223289. The reversal of 30102030223232 is 23232203020103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×301020302232322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30102030223198 and 30102030223207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121554257 + ... + 121801647.

It is an arithmetic number, because the mean of its divisors is an integer number (517375528200).

Almost surely, 230102030223232 is an apocalyptic number.

30102030223232 is a gapful number since it is divisible by the number (32) 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 30102030223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33112033804800).

30102030223232 is an abundant number, since it is smaller than the sum of its proper divisors (36122037386368).

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

30102030223232 is a wasteful number, since it uses less digits than its factorization.

30102030223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248476 (or 248464 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 30102030223232 its reverse (23232203020103), we get a palindrome (53334233243335).

The spelling of 30102030223232 in words is "thirty trillion, one hundred two billion, thirty million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 352 356 704 712 971 979 1408 1424 1942 1958 2848 3884 3916 5696 7768 7832 10681 11392 15536 15664 21362 31072 31328 42724 62144 62656 85448 86419 124288 125312 170896 172838 247391 341792 345676 494782 683584 691352 950609 989564 1367168 1382704 1901218 1979128 2721301 2765408 3802436 3958256 5442602 5530816 7604872 7916512 10885204 11061632 15209744 15833024 21770408 22017799 30419488 31666048 43540816 44035598 60838976 87081632 88071196 121677952 174163264 176142392 240216661 242195789 348326528 352284784 480433322 484391578 704569568 960866644 968783156 1409139136 1921733288 1937566312 2642383271 2818278272 3843466576 3875132624 5284766542 7686933152 7750265248 10569533084 15373866304 15500530496 21139066168 21379282829 30747732608 31001060992 42278132336 42758565658 84556264672 85517131316 169112529344 171034262632 235172111119 338225058688 342068525264 470344222238 684137050528 940688444476 1368274101056 1881376888952 2736548202112 3762753777904 7525507555808 15051015111616 30102030223232