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20313220412400 = 2435289190198693
BaseRepresentation
bin1001001111001100010100…
…10010010111001111110000
32122220220222020221001211120
410213212022102113033300
510130302433411144100
6111111433054342240
74164403352423526
oct447461222271760
978826866831746
1020313220412400
1165218743a38a3
122340a084ba980
13b446b4067676
14503245102316
152535d7ed40a0
hex12798a4973f0

20313220412400 has 120 divisors (see below), whose sum is σ = 65801140176240. Its totient is φ = 5355995166720.

The previous prime is 20313220412369. The next prime is 20313220412461. The reversal of 20313220412400 is 421402231302.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94992547 + ... + 95206146.

It is an arithmetic number, because the mean of its divisors is an integer number (548342834802).

Almost surely, 220313220412400 is an apocalyptic number.

20313220412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20313220412400 is an abundant number, since it is smaller than the sum of its proper divisors (45487919763840).

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

20313220412400 is a wasteful number, since it uses less digits than its factorization.

20313220412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190198803 (or 190198792 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20313220412400 its reverse (421402231302), we get a palindrome (20734622643702).

The spelling of 20313220412400 in words is "twenty trillion, three hundred thirteen billion, two hundred twenty million, four 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 89 100 120 150 178 200 240 267 300 356 400 445 534 600 712 890 1068 1200 1335 1424 1780 2136 2225 2670 3560 4272 4450 5340 6675 7120 8900 10680 13350 17800 21360 26700 35600 53400 106800 190198693 380397386 570596079 760794772 950993465 1141192158 1521589544 1901986930 2282384316 2852980395 3043179088 3803973860 4564768632 4754967325 5705960790 7607947720 9129537264 9509934650 11411921580 14264901975 15215895440 16927683677 19019869300 22823843160 28529803950 33855367354 38039738600 45647686320 50783051031 57059607900 67710734708 76079477200 84638418385 101566102062 114119215800 135421469416 169276836770 203132204124 228238431600 253915255155 270842938832 338553673540 406264408248 423192091925 507830510310 677107347080 812528816496 846384183850 1015661020620 1269576275775 1354214694160 1692768367700 2031322041240 2539152551550 3385536735400 4062644082480 5078305103100 6771073470800 10156610206200 20313220412400