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20013210230112 = 25321110691590899
BaseRepresentation
bin1001000110011101100000…
…10010010101110101100000
32121212020121000211201121200
410203032300102111311200
510110344023304330422
6110321535235121200
74133623002102201
oct443166022256540
977766530751550
1020013210230112
116416611482490
1222b283b743200
13b223120b2248
144d29048ad5a8
1524a8c99b32ac
hex1233b0495d60

20013210230112 has 144 divisors (see below), whose sum is σ = 62092348718400. Its totient is φ = 6064031635200.

The previous prime is 20013210230071. The next prime is 20013210230113. The reversal of 20013210230112 is 21103201231002.

20013210230112 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 321 + 0 + 230 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×200132102301124 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013210230113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33573639 + ... + 34164537.

It is an arithmetic number, because the mean of its divisors is an integer number (431196866100).

Almost surely, 220013210230112 is an apocalyptic number.

20013210230112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20013210230112 is an abundant number, since it is smaller than the sum of its proper divisors (42079138488288).

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

20013210230112 is a wasteful number, since it uses less digits than its factorization.

20013210230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601617 (or 601606 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20013210230112 its reverse (21103201231002), we get a palindrome (41116411461114).

The spelling of 20013210230112 in words is "twenty trillion, thirteen billion, two hundred ten million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 10691 21382 32073 42764 64146 85528 96219 117601 128292 171056 192438 235202 256584 342112 352803 384876 470404 513168 590899 705606 769752 940808 1026336 1058409 1181798 1411212 1539504 1772697 1881616 2116818 2363596 2822424 3079008 3545394 3763232 4233636 4727192 5318091 5644848 6499889 7090788 8467272 9454384 10636182 11289696 12999778 14181576 16934544 18908768 19499667 21272364 25999556 28363152 33869088 38999334 42544728 51999112 56726304 58499001 77998668 85089456 103998224 116998002 155997336 170178912 207996448 233996004 311994672 467992008 623989344 935984016 1871968032 6317301209 12634602418 18951903627 25269204836 37903807254 50538409672 56855710881 69490313299 75807614508 101076819344 113711421762 138980626598 151615229016 202153638688 208470939897 227422843524 277961253196 303230458032 416941879794 454845687048 555922506392 606460916064 625412819691 833883759588 909691374096 1111845012784 1250825639382 1667767519176 1819382748192 2223690025568 2501651278764 3335535038352 5003302557528 6671070076704 10006605115056 20013210230112