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20321113011120 = 24325203411387531
BaseRepresentation
bin1001001111011011000001…
…01110001111001110110000
32122221200100022020121212200
410213231200232033032300
510130420114412323440
6111115220200223200
74165103060414445
oct447554056171660
978850308217780
1020321113011120
116525154585059
12234244b76ab00
13b4537127521c
1450379340d9cc
152538ead66c30
hex127b60b8f3b0

20321113011120 has 120 divisors (see below), whose sum is σ = 68248475432592. Its totient is φ = 5418693158400.

The previous prime is 20321113011107. The next prime is 20321113011139. The reversal of 20321113011120 is 2111031112302.

20321113011120 is a `hidden beast` number, since 2 + 0 + 321 + 11 + 301 + 11 + 20 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 20321113011093 and 20321113011102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13951755 + ... + 15339285.

Almost surely, 220321113011120 is an apocalyptic number.

20321113011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20321113011120 is an abundant number, since it is smaller than the sum of its proper divisors (47927362421472).

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

20321113011120 is a wasteful number, since it uses less digits than its factorization.

20321113011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407891 (or 1407882 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20321113011120 its reverse (2111031112302), we get a palindrome (22432144123422).

The spelling of 20321113011120 in words is "twenty trillion, three hundred twenty-one billion, one hundred thirteen million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 20341 40682 61023 81364 101705 122046 162728 183069 203410 244092 305115 325456 366138 406820 488184 610230 732276 813640 915345 976368 1220460 1387531 1464552 1627280 1830690 2440920 2775062 2929104 3661380 4162593 4881840 5550124 6937655 7322760 8325186 11100248 12487779 13875310 14645520 16650372 20812965 22200496 24975558 27750620 33300744 41625930 49951116 55501240 62438895 66601488 83251860 99902232 111002480 124877790 166503720 199804464 249755580 333007440 499511160 999022320 28223768071 56447536142 84671304213 112895072284 141118840355 169342608426 225790144568 254013912639 282237680710 338685216852 423356521065 451580289136 508027825278 564475361420 677370433704 846713042130 1016055650556 1128950722840 1270069563195 1354740867408 1693426084260 2032111301112 2257901445680 2540139126390 3386852168520 4064222602224 5080278252780 6773704337040 10160556505560 20321113011120