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20311020032320 = 265376532627041
BaseRepresentation
bin1001001111001000001110…
…01000100101000101000000
32122220201021220112011211001
410213210013020211011000
510130233432112013240
6111110430452501344
74164265003462333
oct447440710450500
978821256464731
1020311020032320
116520945334766
1223404b361a854
13b44423232014
145030b6ba661a
15253509c3e89a
hex127907225140

20311020032320 has 112 divisors (see below), whose sum is σ = 49748882811408. Its totient is φ = 7892721008640.

The previous prime is 20311020032279. The next prime is 20311020032389. The reversal of 20311020032320 is 2323002011302.

It can be written as a sum of positive squares in 8 ways, for example, as 62532004096 + 20248488028224 = 250064^2 + 4499832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6418000 + ... + 9045040.

Almost surely, 220311020032320 is an apocalyptic number.

20311020032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311020032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24874441405704).

20311020032320 is an abundant number, since it is smaller than the sum of its proper divisors (29437862779088).

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

20311020032320 is a wasteful number, since it uses less digits than its factorization.

20311020032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627748 (or 2627738 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20311020032320 its reverse (2323002011302), we get a palindrome (22634022043622).

The spelling of 20311020032320 in words is "twenty trillion, three hundred eleven billion, twenty million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 653 740 1184 1306 1480 2368 2612 2960 3265 5224 5920 6530 10448 11840 13060 20896 24161 26120 41792 48322 52240 96644 104480 120805 193288 208960 241610 386576 483220 773152 966440 1546304 1932880 2627041 3865760 5254082 7731520 10508164 13135205 21016328 26270410 42032656 52540820 84065312 97200517 105081640 168130624 194401034 210163280 388802068 420326560 486002585 777604136 840653120 972005170 1555208272 1715457773 1944010340 3110416544 3430915546 3888020680 6220833088 6861831092 7776041360 8577288865 13723662184 15552082720 17154577730 27447324368 31104165440 34309155460 54894648736 63471937601 68618310920 109789297472 126943875202 137236621840 253887750404 274473243680 317359688005 507775500808 548946487360 634719376010 1015551001616 1269438752020 2031102003232 2538877504040 4062204006464 5077755008080 10155510016160 20311020032320