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1076212771140 = 2235134332087441
BaseRepresentation
bin11111010100100110100…
…01111010100101000100
310210212220010012100011110
433222103101322211010
5120113040432134030
62142223314405020
7140516361422043
oct17522321724504
93725803170143
101076212771140
11385468063971
121546b1590770
137a6428b8220
143a13621655a
151cedc4dd1b0
hexfa9347a944

1076212771140 has 96 divisors (see below), whose sum is σ = 3320665197696. Its totient is φ = 258753116160.

The previous prime is 1076212771121. The next prime is 1076212771211. The reversal of 1076212771140 is 411772126701.

1076212771140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16010181 + ... + 16077260.

It is an arithmetic number, because the mean of its divisors is an integer number (34590262476).

Almost surely, 21076212771140 is an apocalyptic number.

1076212771140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076212771140 is an abundant number, since it is smaller than the sum of its proper divisors (2244452426556).

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

1076212771140 is a wasteful number, since it uses less digits than its factorization.

1076212771140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32087509 (or 32087507 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

Adding to 1076212771140 its reverse (411772126701), we get a palindrome (1487984897841).

The spelling of 1076212771140 in words is "one trillion, seventy-six billion, two hundred twelve million, seven hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 8385 11180 16770 33540 32087441 64174882 96262323 128349764 160437205 192524646 320874410 385049292 417136733 481311615 641748820 834273466 962623230 1251410199 1379759963 1668546932 1925246460 2085683665 2502820398 2759519926 4139279889 4171367330 5005640796 5519039852 6257050995 6898799815 8278559778 8342734660 12514101990 13797599630 16557119556 17936879519 20696399445 25028203980 27595199260 35873759038 41392798890 53810638557 71747518076 82785597780 89684397595 107621277114 179368795190 215242554228 269053192785 358737590380 538106385570 1076212771140