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11403220140 = 223251323211877
BaseRepresentation
bin10101001111010111…
…10101010010101100
31002102201011121021200
422213223311102230
5141323211021030
65123310325500
7552403525524
oct124753652254
932381147250
1011403220140
114921903084
122262ab9890
1310c9625850
147a2672684
1546b18bd60
hex2a7af54ac

11403220140 has 144 divisors (see below), whose sum is σ = 38870290368. Its totient is φ = 2684892672.

The previous prime is 11403220097. The next prime is 11403220183. The reversal of 11403220140 is 4102230411.

11403220140 is a `hidden beast` number, since 1 + 1 + 403 + 220 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11403220097) and next prime (11403220183).

It is a super-2 number, since 2×114032201402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52119 + ... + 159758.

It is an arithmetic number, because the mean of its divisors is an integer number (269932572).

Almost surely, 211403220140 is an apocalyptic number.

11403220140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11403220140 is an abundant number, since it is smaller than the sum of its proper divisors (27467070228).

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

11403220140 is a wasteful number, since it uses less digits than its factorization.

11403220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211928 (or 211923 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11403220140 its reverse (4102230411), we get a palindrome (15505450551).

The spelling of 11403220140 in words is "eleven billion, four hundred three million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 26910 53820 211877 423754 635631 847508 1059385 1271262 1906893 2118770 2542524 2754401 3178155 3813786 4237540 4873171 5508802 6356310 7627572 8263203 9534465 9746342 11017604 12712620 13772005 14619513 16526406 19068930 19492684 24365855 24789609 27544010 29239026 33052812 38137860 41316015 43858539 48731710 49579218 55088020 58478052 63351223 73097565 82632030 87717078 97463420 99158436 123948045 126702446 146195130 165264060 175434156 190053669 219292695 247896090 253404892 292390260 316756115 380107338 438585390 495792180 570161007 633512230 760214676 877170780 950268345 1140322014 1267024460 1900536690 2280644028 2850805035 3801073380 5701610070 11403220140