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30130144112400 = 24352231110864757
BaseRepresentation
bin1101101100111001110001…
…00010010110111100010000
310221200102011112210200011020
412312130320202112330100
512422123013343044100
6144025332551115440
76226555026162303
oct666347042267420
9127612145720136
1030130144112400
119667138950a42
123467510372b80
1313a7350130b97
14762441a4ab3a
15373b4a6075a0
hex1b6738896f10

30130144112400 has 120 divisors (see below), whose sum is σ = 96558667986624. Its totient is φ = 8031227635200.

The previous prime is 30130144112389. The next prime is 30130144112401. The reversal of 30130144112400 is 421144103103.

30130144112400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30130144112401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2659179 + ... + 8205578.

Almost surely, 230130144112400 is an apocalyptic number.

30130144112400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30130144112400 is an abundant number, since it is smaller than the sum of its proper divisors (66428523874224).

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

30130144112400 is a wasteful number, since it uses less digits than its factorization.

30130144112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10867089 (or 10867078 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 30130144112400 its reverse (421144103103), we get a palindrome (30551288215503).

The spelling of 30130144112400 in words is "thirty trillion, one hundred thirty billion, one hundred forty-four million, one hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2311 4622 6933 9244 11555 13866 18488 23110 27732 34665 36976 46220 55464 57775 69330 92440 110928 115550 138660 173325 184880 231100 277320 346650 462200 554640 693300 924400 1386600 2773200 10864757 21729514 32594271 43459028 54323785 65188542 86918056 108647570 130377084 162971355 173836112 217295140 260754168 271618925 325942710 434590280 521508336 543237850 651885420 814856775 869180560 1086475700 1303770840 1629713550 2172951400 2607541680 3259427100 4345902800 6518854200 13037708400 25108453427 50216906854 75325360281 100433813708 125542267135 150650720562 200867627416 251084534270 301301441124 376626801405 401735254832 502169068540 602602882248 627711335675 753253602810 1004338137080 1205205764496 1255422671350 1506507205620 1883134007025 2008676274160 2510845342700 3013014411240 3766268014050 5021690685400 6026028822480 7532536028100 10043381370800 15065072056200 30130144112400