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2113102120320 = 27325366858007
BaseRepresentation
bin11110101111111110101…
…100111000010110000000
321111000021201102212102100
4132233332230320112000
5234110113120322240
64254425023550400
7305444432444052
oct36577654702600
97430251385370
102113102120320
117451860708a4
122a164975b400
1312435964c419
14743bba5d8d2
1539e775dbe30
hex1ebfeb38580

2113102120320 has 96 divisors (see below), whose sum is σ = 7296805779120. Its totient is φ = 563493897216.

The previous prime is 2113102120319. The next prime is 2113102120321. The reversal of 2113102120320 is 230212013112.

2113102120320 is a `hidden beast` number, since 2 + 1 + 131 + 0 + 212 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2113102120319) and next prime (2113102120321).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2113102120293 and 2113102120302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113102120321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183423244 + ... + 183434763.

Almost surely, 22113102120320 is an apocalyptic number.

2113102120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113102120320 is an abundant number, since it is smaller than the sum of its proper divisors (5183703658800).

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

2113102120320 is a wasteful number, since it uses less digits than its factorization.

2113102120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366858032 (or 366858017 counting only the distinct ones).

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

Adding to 2113102120320 its reverse (230212013112), we get a palindrome (2343314133432).

The spelling of 2113102120320 in words is "two trillion, one hundred thirteen billion, one hundred two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 366858007 733716014 1100574021 1467432028 1834290035 2201148042 2934864056 3301722063 3668580070 4402296084 5502870105 5869728112 6603444126 7337160140 8804592168 11005740210 11739456224 13206888252 14674320280 16508610315 17609184336 22011480420 23478912448 26413776504 29348640560 33017220630 35218368672 44022960840 46957824896 52827553008 58697281120 66034441260 70436737344 88045921680 105655106016 117394562240 132068882520 140873474688 176091843360 211310212032 234789124480 264137765040 352183686720 422620424064 528275530080 704367373440 1056551060160 2113102120320