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103232223002131 = 1926771193331941
BaseRepresentation
bin10111011110001110011111…
…111110110011111000010011
3111112111220102010010121020121
4113132032133332303320103
5102012324043042032011
61003320121211051111
730513165502303066
oct2736163776637023
9445456363117217
10103232223002131
112a9905a3698523
12b6b311a740a97
13457a9aba83482
141b6c67557c8dd
15be0491323e71
hex5de39ffb3e13

103232223002131 has 96 divisors (see below), whose sum is σ = 113176719438336. Its totient is φ = 94104654336000.

The previous prime is 103232223002101. The next prime is 103232223002147. The reversal of 103232223002131 is 131200322232301.

It is not a de Polignac number, because 103232223002131 - 25 = 103232223002099 is a prime.

It is a super-2 number, since 2×1032322230021312 (a number of 29 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 = 103232223002096 and 103232223002105.

It is not an unprimeable number, because it can be changed into a prime (103232223002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109704806121 + ... + 109704807061.

It is an arithmetic number, because the mean of its divisors is an integer number (1178924160816).

Almost surely, 2103232223002131 is an apocalyptic number.

103232223002131 is a deficient number, since it is larger than the sum of its proper divisors (9944496436205).

103232223002131 is a wasteful number, since it uses less digits than its factorization.

103232223002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 103232223002131 its reverse (131200322232301), we get a palindrome (234432545234432).

The spelling of 103232223002131 in words is "one hundred three trillion, two hundred thirty-two billion, two hundred twenty-three million, two thousand, one hundred thirty-one".

Divisors: 1 19 67 71 193 331 361 941 1273 1349 3667 4757 6289 12931 13703 17879 22177 23501 24187 25631 63047 63883 66811 69673 90383 119491 181613 245689 260357 311471 339701 421363 446519 918101 1197893 1213777 1269409 1574567 1717277 3450647 4280161 4476337 4535693 4668091 4946783 5917949 8005897 8483861 12168071 12894523 17443919 20868557 22114441 22759967 23061763 24118771 29916773 60113903 65562293 81323059 85050403 86178167 112441031 231193349 244995937 303891431 331434461 396502583 420174379 568418687 863933041 1142164157 1481667547 1545138121 1615957657 1637385173 4027631501 4268087113 4392673631 4654922803 5773937189 7533549077 7983313201 16414727779 21701118983 28151683393 76524998519 81093655147 109704806591 285961836571 311879827801 534881984467 1453974971861 1540779447793 5433274894849 103232223002131