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20203334400431 = 7132236857108287
BaseRepresentation
bin1001001011111111101001…
…00100011111100110101111
32122112102100010000021122102
410211333310210133212233
510122002412101303211
6110545141140005315
74153433313634640
oct445776444374657
978472303007572
1020203334400431
11648a205629676
12232365b99083b
13b3722136b100
144dbbbd1116c7
15250805e05a3b
hex125ff491f9af

20203334400431 has 48 divisors (see below), whose sum is σ = 26093367558144. Its totient is φ = 15287682339072.

The previous prime is 20203334400407. The next prime is 20203334400437. The reversal of 20203334400431 is 13400443330202.

It is a de Polignac number, because none of the positive numbers 2k-20203334400431 is a prime.

It is a super-2 number, since 2×202033344004312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20203334400394 and 20203334400403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20203334400437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186517970 + ... + 186626256.

It is an arithmetic number, because the mean of its divisors is an integer number (543611824128).

Almost surely, 220203334400431 is an apocalyptic number.

20203334400431 is a deficient number, since it is larger than the sum of its proper divisors (5890033157713).

20203334400431 is a wasteful number, since it uses less digits than its factorization.

20203334400431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115200 (or 115187 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 20203334400431 its reverse (13400443330202), we get a palindrome (33603777730633).

The spelling of 20203334400431 in words is "twenty trillion, two hundred three billion, three hundred thirty-four million, four hundred thousand, four hundred thirty-one".

Divisors: 1 7 13 23 91 161 169 299 1183 2093 3887 6857 27209 47999 89141 108287 157711 623987 758009 1103977 1158833 1407731 2050243 2490601 8111831 9854117 14351701 17434207 18300503 26653159 32377813 128103521 186572113 226644691 420911569 742523959 2946380983 5197667713 9652811467 17078051057 67569680269 119546357399 125486549071 222014663741 878405843497 1554102646187 2886190628633 20203334400431