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1131312022014 = 2323313896131109
BaseRepresentation
bin10000011101100111011…
…100111000000111111110
311000011010002011021221210
4100131213130320013332
5122013411334201024
62223414554505250
7144506652344316
oct20354734700776
94004102137853
101131312022014
113a6872163639
1216330a135226
13828b3c27355
143ca81c82446
151e664892129
hex107677381fe

1131312022014 has 128 divisors (see below), whose sum is σ = 2449618329600. Its totient is φ = 347293647360.

The previous prime is 1131312021989. The next prime is 1131312022067. The reversal of 1131312022014 is 4102202131311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1020118492 + ... + 1020119600.

It is an arithmetic number, because the mean of its divisors is an integer number (19137643200).

Almost surely, 21131312022014 is an apocalyptic number.

1131312022014 is an abundant number, since it is smaller than the sum of its proper divisors (1318306307586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131312022014 is a wasteful number, since it uses less digits than its factorization.

1131312022014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1131312022014 its reverse (4102202131311), we get a palindrome (5233514153325).

The spelling of 1131312022014 in words is "one trillion, one hundred thirty-one billion, three hundred twelve million, twenty-two thousand, fourteen".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 186 389 613 713 778 1109 1167 1226 1426 1839 2139 2218 2334 3327 3678 4278 6654 8947 12059 14099 17894 19003 24118 25507 26841 28198 34379 36177 38006 42297 51014 53682 57009 68758 72354 76521 84594 103137 114018 153042 206274 238457 277357 431401 437069 476914 554714 679817 715371 790717 832071 862802 874138 1294203 1311207 1359634 1430742 1581434 1664142 2039451 2372151 2588406 2622414 4078902 4744302 5484511 7392167 9922223 10969022 13373431 14784334 15635791 16453533 19844446 21074327 22176501 26746862 29766669 31271582 32907066 40120293 42148654 44353002 46907373 59533338 63222981 80240586 93814746 126445962 170019841 264448813 307588913 340039682 484709521 510059523 528897626 615177826 793346439 922766739 969419042 1020119046 1454128563 1586692878 1845533478 2908257126 6082322699 8197913203 12164645398 16395826406 18246968097 24593739609 36493936194 49187479218 188552003669 377104007338 565656011007 1131312022014