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11203423134432 = 253319473975281
BaseRepresentation
bin1010001100001000000000…
…0011100110001011100000
31110200000222211011121110120
42203002000003212023200
52432024102310300212
635454440451200240
72234264161250154
oct243020003461340
943600884147416
1011203423134432
11362a388317731
12130b36b8a6080
1363362a9a9059
142aa36a127064
1514666040588c
hexa30800e62e0

11203423134432 has 96 divisors (see below), whose sum is σ = 30389726997504. Its totient is φ = 3610190284800.

The previous prime is 11203423134353. The next prime is 11203423134461. The reversal of 11203423134432 is 23443132430211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112034231344322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11203423134393 and 11203423134402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830632 + ... + 4805912.

It is an arithmetic number, because the mean of its divisors is an integer number (316559656224).

Almost surely, 211203423134432 is an apocalyptic number.

11203423134432 is a gapful number since it is divisible by the number (12) 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 11203423134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194863498752).

11203423134432 is an abundant number, since it is smaller than the sum of its proper divisors (19186303863072).

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

11203423134432 is a wasteful number, since it uses less digits than its factorization.

11203423134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976272 (or 3976264 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 11203423134432 its reverse (23443132430211), we get a palindrome (34646555564643).

The spelling of 11203423134432 in words is "eleven trillion, two hundred three billion, four hundred twenty-three million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 947 992 1488 1894 2841 2976 3788 5682 7576 11364 15152 22728 29357 30304 45456 58714 88071 90912 117428 176142 234856 352284 469712 704568 939424 1409136 2818272 3975281 7950562 11925843 15901124 23851686 31802248 47703372 63604496 95406744 123233711 127208992 190813488 246467422 369701133 381626976 492934844 739402266 985869688 1478804532 1971739376 2957609064 3764591107 3943478752 5915218128 7529182214 11293773321 11830436256 15058364428 22587546642 30116728856 45175093284 60233457712 90350186568 116702324317 120466915424 180700373136 233404648634 350106972951 361400746272 466809297268 700213945902 933618594536 1400427891804 1867237189072 2800855783608 3734474378144 5601711567216 11203423134432