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1103435051424 = 25367661259537
BaseRepresentation
bin10000000011101001110…
…110101011000110100000
310220111011021201110102120
4100003221312223012200
5121034313333121144
62202524442344240
7142502102116506
oct20035166530640
93814137643376
101103435051424
11395a67357a72
12159a2a1bb080
1380090654394
143b59979a676
151da8232de19
hex100e9dab1a0

1103435051424 has 96 divisors (see below), whose sum is σ = 2944207377216. Its totient is φ = 361772421120.

The previous prime is 1103435051359. The next prime is 1103435051429. The reversal of 1103435051424 is 4241505343011.

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

It is a super-2 number, since 2×11034350514242 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1103435051429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4121784 + ... + 4381320.

It is an arithmetic number, because the mean of its divisors is an integer number (30668826846).

Almost surely, 21103435051424 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 1103435051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472103688608).

1103435051424 is an abundant number, since it is smaller than the sum of its proper divisors (1840772325792).

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

1103435051424 is a wasteful number, since it uses less digits than its factorization.

1103435051424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260278 (or 260270 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1103435051424 in words is "one trillion, one hundred three billion, four hundred thirty-five million, fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 661 804 1072 1322 1608 1983 2144 2644 3216 3966 5288 6432 7932 10576 15864 21152 31728 44287 63456 88574 132861 177148 259537 265722 354296 519074 531444 708592 778611 1038148 1062888 1417184 1557222 2076296 2125776 3114444 4152592 4251552 6228888 8305184 12457776 17388979 24915552 34777958 52166937 69555916 104333874 139111832 171553957 208667748 278223664 343107914 417335496 514661871 556447328 686215828 834670992 1029323742 1372431656 1669341984 2058647484 2744863312 4117294968 5489726624 8234589936 11494115119 16469179872 22988230238 34482345357 45976460476 68964690714 91952920952 137929381428 183905841904 275858762856 367811683808 551717525712 1103435051424