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20321223333440 = 2652313121076609
BaseRepresentation
bin1001001111011011001110…
…10011000101011001000000
32122221200121222211120122112
410213231213103011121000
510130420331133132230
6111115235140554452
74165105600221041
oct447554723053100
978850558746575
1020321223333440
116525200886927
1223424806b2a28
13b4538b0911c3
145037a3d2a8c8
152539058a9d95
hex127b674c5640

20321223333440 has 112 divisors (see below), whose sum is σ = 50879273765760. Its totient is φ = 7715724656640.

The previous prime is 20321223333427. The next prime is 20321223333443. The reversal of 20321223333440 is 4433332212302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20321223333397 and 20321223333406.

It is not an unprimeable number, because it can be changed into a prime (20321223333443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9574145 + ... + 11502464.

Almost surely, 220321223333440 is an apocalyptic number.

20321223333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20321223333440 is an abundant number, since it is smaller than the sum of its proper divisors (30558050432320).

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

20321223333440 is a wasteful number, since it uses less digits than its factorization.

20321223333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21076780 (or 21076770 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 20321223333440 its reverse (4433332212302), we get a palindrome (24754555545742).

The spelling of 20321223333440 in words is "twenty trillion, three hundred twenty-one billion, two hundred twenty-three million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 131 160 184 230 262 320 368 460 524 655 736 920 1048 1310 1472 1840 2096 2620 3013 3680 4192 5240 6026 7360 8384 10480 12052 15065 20960 24104 30130 41920 48208 60260 96416 120520 192832 241040 482080 964160 21076609 42153218 84306436 105383045 168612872 210766090 337225744 421532180 484762007 674451488 843064360 969524014 1348902976 1686128720 1939048028 2423810035 2761035779 3372257440 3878096056 4847620070 5522071558 6744514880 7756192112 9695240140 11044143116 13805178895 15512384224 19390480280 22088286232 27610357790 31024768448 38780960560 44176572464 55220715580 63503822917 77561921120 88353144928 110441431160 127007645834 155123842240 176706289856 220882862320 254015291668 317519114585 441765724640 508030583336 635038229170 883531449280 1016061166672 1270076458340 2032122333344 2540152916680 4064244666688 5080305833360 10160611666720 20321223333440