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20311002223101 = 32172127167368189
BaseRepresentation
bin1001001111001000001100…
…00100101001000111111101
32122220201020200000101011100
410213210012010221013331
510130233413032114401
6111110425015043313
74164264366216402
oct447440604510775
978821220011140
1020311002223101
1165209362803a7
1223404a9670539
13b4441c637b15
145030b468c2a9
152535083c2b86
hex1279061291fd

20311002223101 has 72 divisors (see below), whose sum is σ = 31598973020160. Its totient is φ = 12568064979456.

The previous prime is 20311002223091. The next prime is 20311002223111. The reversal of 20311002223101 is 10132220011302.

20311002223101 is a `hidden beast` number, since 2 + 0 + 31 + 100 + 222 + 310 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20311002223091) and next prime (20311002223111).

It is not a de Polignac number, because 20311002223101 - 226 = 20310935114237 is a prime.

It is a super-2 number, since 2×203110022231012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311002223111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54980515 + ... + 55348703.

It is an arithmetic number, because the mean of its divisors is an integer number (438874625280).

Almost surely, 220311002223101 is an apocalyptic number.

It is an amenable number.

20311002223101 is a deficient number, since it is larger than the sum of its proper divisors (11287970797059).

20311002223101 is a wasteful number, since it uses less digits than its factorization.

20311002223101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368523 (or 368503 counting only the distinct ones).

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

Adding to 20311002223101 its reverse (10132220011302), we get a palindrome (30443222234403).

The spelling of 20311002223101 in words is "twenty trillion, three hundred eleven billion, two million, two hundred twenty-three thousand, one hundred one".

Divisors: 1 3 9 17 51 127 153 167 289 381 501 867 1143 1503 2159 2601 2839 6477 8517 19431 21209 25551 36703 48263 63627 110109 144789 190881 330327 360553 368189 434367 1081659 1104567 3244977 3313701 6129401 6259213 18388203 18777639 46760003 55164609 56332917 61487563 106406621 140280009 184462689 319219863 420840027 553388067 794920051 957659589 1045288571 2384760153 3135865713 7154280459 7808920501 9407597139 13513640867 17769905707 23426761503 40540922601 53309717121 70280284509 121622767803 132751648517 159929151363 398254945551 1194764836653 2256778024789 6770334074367 20311002223101