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20414311413231 = 3231071272251683
BaseRepresentation
bin1001010010001000100111…
…10001111011010111101111
32200021120220110110222212110
410221010103301323113233
510133432002210210411
6111230112153335103
74204612444644501
oct451042361732757
980246813428773
1020414311413231
11656072a657a7a
12235851b707493
13b510a48c6918
145080b4ddbd71
15256052dc82a6
hex129113c7b5ef

20414311413231 has 96 divisors (see below), whose sum is σ = 29053070419968. Its totient is φ = 12724982424000.

The previous prime is 20414311413187. The next prime is 20414311413233. The reversal of 20414311413231 is 13231411341402.

It is not a de Polignac number, because 20414311413231 - 27 = 20414311413103 is a prime.

It is a super-2 number, since 2×204143114132312 (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 (20414311413233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29889181816 + ... + 29889182498.

It is an arithmetic number, because the mean of its divisors is an integer number (302636150208).

Almost surely, 220414311413231 is an apocalyptic number.

20414311413231 is a deficient number, since it is larger than the sum of its proper divisors (8638759006737).

20414311413231 is a wasteful number, since it uses less digits than its factorization.

20414311413231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 20414311413231 its reverse (13231411341402), we get a palindrome (33645722754633).

The spelling of 20414311413231 in words is "twenty trillion, four hundred fourteen billion, three hundred eleven million, four hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 23 69 107 127 251 321 381 683 753 2049 2461 2921 5773 7383 8763 13589 15709 16129 17319 26857 31877 40767 47127 48387 73081 80571 86741 95631 171433 219243 260223 312547 370967 514299 617711 733171 937641 1112901 1680863 1725803 1853133 1995043 2199513 3410839 3942959 4048379 5042589 5177409 5985129 9281287 10232517 11016107 11828877 12145137 18343331 21771991 27843861 33048321 39693469 55029993 65315973 78449297 93112717 119080407 213469601 235347891 253370461 279338151 421896613 433176553 500755793 640408803 760111383 1178723449 1265689839 1299529659 1502267379 2329603037 2765042857 3536170347 6988809111 8295128571 9963060719 27110639327 29889182157 53580869851 63595985711 81331917981 160742609553 190787957133 295859585699 887578757097 6804770471077 20414311413231