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1131211214331 = 311237137614773
BaseRepresentation
bin10000011101100001011…
…100010100110111111011
311000010212001110201210220
4100131201130110313323
5122013210032324311
62223400554111123
7144504316446342
oct20354134246773
94003761421726
101131211214331
113a6820270300
121632a041b4a3
1382899090033
143ca72720b59
151e65aacd206
hex10761714dfb

1131211214331 has 48 divisors (see below), whose sum is σ = 1715101423392. Its totient is φ = 662183216640.

The previous prime is 1131211214317. The next prime is 1131211214339. The reversal of 1131211214331 is 1334121121311.

It is not a de Polignac number, because 1131211214331 - 26 = 1131211214267 is a prime.

It is a super-2 number, since 2×11312112143312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131211214339) 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, 1532661 + ... + 2147433.

It is an arithmetic number, because the mean of its divisors is an integer number (35731279654).

Almost surely, 21131211214331 is an apocalyptic number.

1131211214331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131211214331 is a deficient number, since it is larger than the sum of its proper divisors (583890209061).

1131211214331 is a wasteful number, since it uses less digits than its factorization.

1131211214331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614972 (or 614961 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 1131211214331 its reverse (1334121121311), we get a palindrome (2465332335642).

The spelling of 1131211214331 in words is "one trillion, one hundred thirty-one billion, two hundred eleven million, two hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 11 33 37 111 121 137 363 407 411 1221 1507 4477 4521 5069 13431 15207 16577 49731 55759 167277 613349 614773 1840047 1844319 6762503 20287509 22746601 68239803 74387533 84223901 223162599 250212611 252671703 750637833 926462911 2752338721 2779388733 3116284337 8257016163 9348853011 10191092021 30573276063 34279127707 102837383121 377070404777 1131211214331