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131211021123 = 337131926310687
BaseRepresentation
bin111101000110011001…
…0010100101101000011
3110112200022200111022000
41322030302110231003
54122210010133443
6140135535315043
712323350164120
oct1721462245503
9415608614260
10131211021123
1150712223236
122151a37ba83
13c4b0a57590
1464ca267747
15362e3298d3
hex1e8cc94b43

131211021123 has 128 divisors (see below), whose sum is σ = 252818227200. Its totient is φ = 65312148096.

The previous prime is 131211021113. The next prime is 131211021187. The reversal of 131211021123 is 321120112131.

It is not a de Polignac number, because 131211021123 - 26 = 131211021059 is a prime.

It is a super-2 number, since 2×1312110211232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131211021096 and 131211021105.

It is not an unprimeable number, because it can be changed into a prime (131211021113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12272286 + ... + 12282972.

It is an arithmetic number, because the mean of its divisors is an integer number (1975142400).

Almost surely, 2131211021123 is an apocalyptic number.

131211021123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131211021123 is a deficient number, since it is larger than the sum of its proper divisors (121607206077).

131211021123 is a wasteful number, since it uses less digits than its factorization.

131211021123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131211021123 its reverse (321120112131), we get a palindrome (452331133254).

The spelling of 131211021123 in words is "one hundred thirty-one billion, two hundred eleven million, twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 91 117 133 171 189 247 263 273 351 399 513 741 789 819 1197 1729 1841 2223 2367 2457 3419 3591 4997 5187 5523 6669 7101 10257 10687 14991 15561 16569 23933 30771 32061 34979 44973 46683 49707 64961 71799 74809 92313 96183 104937 134919 138931 194883 203053 215397 224427 288549 314811 416793 454727 584649 609159 646191 673281 944433 972517 1250379 1364181 1421371 1753947 1827477 2019843 2639689 2810681 2917551 3751137 4092543 4264113 5482431 7919067 8432043 8752653 12277629 12792339 18477823 19674767 23757201 25296129 26257959 36538853 38377017 53402939 55433469 59024301 71271603 75888387 109616559 160208817 166300407 177072903 255771971 328849677 373820573 480626451 498901221 531218709 694238207 767315913 986549031 1121461719 1441879353 2082714621 2301947739 3364385157 4859667449 6248143863 6905843217 10093155471 14579002347 18744431589 43737007041 131211021123