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1131211101030 = 235198331176883
BaseRepresentation
bin10000011101100001011…
…011111001001101100110
311000010212001020222101120
4100131201123321031212
5122013210020213110
62223400551434410
7144504315465123
oct20354133711546
94003761228346
101131211101030
113a68201a316a
121632a0385a06
13828990505aa
143ca726d174a
151e65aaa9870
hex107616f9366

1131211101030 has 128 divisors (see below), whose sum is σ = 2901565255680. Its totient is φ = 281425023360.

The previous prime is 1131211101023. The next prime is 1131211101067. The reversal of 1131211101030 is 301011121311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14674969 + ... + 14751851.

It is an arithmetic number, because the mean of its divisors is an integer number (22668478560).

Almost surely, 21131211101030 is an apocalyptic number.

1131211101030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131211101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450782627840).

1131211101030 is an abundant number, since it is smaller than the sum of its proper divisors (1770354154650).

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

1131211101030 is a wasteful number, since it uses less digits than its factorization.

1131211101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77306.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1131211101030 its reverse (301011121311), we get a palindrome (1432222222341).

The spelling of 1131211101030 in words is "one trillion, one hundred thirty-one billion, two hundred eleven million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 83 95 114 166 190 249 285 311 415 498 570 622 830 933 1245 1555 1577 1866 2490 3110 3154 4665 4731 5909 7885 9330 9462 11818 15770 17727 23655 25813 29545 35454 47310 51626 59090 76883 77439 88635 129065 153766 154878 177270 230649 258130 384415 387195 461298 490447 768830 774390 980894 1153245 1460777 1471341 2306490 2452235 2921554 2942682 4382331 4904470 6381289 7303885 7356705 8764662 12762578 14607770 14713410 19143867 21911655 23910613 31906445 38287734 43823310 47821226 63812890 71731839 95719335 119553065 121244491 143463678 191438670 239106130 242488982 358659195 363733473 454301647 606222455 717318390 727466946 908603294 1212444910 1362904941 1818667365 1984580879 2271508235 2725809882 3637334730 3969161758 4543016470 5953742637 6814524705 9922904395 11907485274 13629049410 19845808790 29768713185 37707036701 59537426370 75414073402 113121110103 188535183505 226242220206 377070367010 565605550515 1131211101030