Search a number
-
+
1141903054110 = 2357132271842641
BaseRepresentation
bin10000100111011110101…
…110011101010100011110
311001011110012001110200210
4100213132232131110132
5122202104140212420
62232325533233250
7145333264545030
oct20473656352436
94034405043623
101141903054110
11400307560825
12165385032826
13838b11c0550
143d3a86d5c50
151ea8459a9e0
hex109deb9d51e

1141903054110 has 128 divisors (see below), whose sum is σ = 3387866840064. Its totient is φ = 239867504640.

The previous prime is 1141903054087. The next prime is 1141903054153. The reversal of 1141903054110 is 114503091411.

It is a super-3 number, since 3×11419030541103 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 301611 + ... + 1541030.

It is an arithmetic number, because the mean of its divisors is an integer number (26467709688).

Almost surely, 21141903054110 is an apocalyptic number.

1141903054110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1141903054110 is an abundant number, since it is smaller than the sum of its proper divisors (2245963785954).

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

1141903054110 is a wasteful number, since it uses less digits than its factorization.

1141903054110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842898.

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 1141903054110 in words is "one trillion, one hundred forty-one billion, nine hundred three million, fifty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 227 273 390 454 455 546 681 910 1135 1362 1365 1589 2270 2730 2951 3178 3405 4767 5902 6810 7945 8853 9534 14755 15890 17706 20657 23835 29510 41314 44265 47670 61971 88530 103285 123942 206570 309855 619710 1842641 3685282 5527923 9213205 11055846 12898487 18426410 23954333 25796974 27639615 38695461 47908666 55279230 64492435 71862999 77390922 119771665 128984870 143725998 167680331 193477305 239543330 335360662 359314995 386954610 418279507 503040993 718629990 836559014 838401655 1006081986 1254838521 1676803310 2091397535 2509677042 2515204965 2927956549 4182795070 5030409930 5437633591 5855913098 6274192605 8783869647 10875267182 12548385210 14639782745 16312900773 17567739294 27188167955 29279565490 32625801546 38063435137 43919348235 54376335910 76126870274 81564503865 87838696470 114190305411 163129007730 190317175685 228380610822 380634351370 570951527055 1141903054110