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100404201240 = 2334574426993
BaseRepresentation
bin101110110000010001…
…1101000011100011000
3100121011100012220010000
41131200203220130120
53121111433414430
6114043002253000
710153052425530
oct1354043503430
9317140186100
10100404201240
1139643610512
12175611b7160
139611492385
144c069da4c0
15292997ce60
hex17608e8718

100404201240 has 160 divisors (see below), whose sum is σ = 385679717280. Its totient is φ = 22949526528.

The previous prime is 100404201199. The next prime is 100404201269. The reversal of 100404201240 is 42102404001.

100404201240 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 420 + 1 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2190817 + ... + 2236176.

It is an arithmetic number, because the mean of its divisors is an integer number (2410498233).

Almost surely, 2100404201240 is an apocalyptic number.

100404201240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100404201240 is an abundant number, since it is smaller than the sum of its proper divisors (285275516040).

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

100404201240 is a wasteful number, since it uses less digits than its factorization.

100404201240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427023 (or 4427010 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100404201240 its reverse (42102404001), we get a palindrome (142506605241).

The spelling of 100404201240 in words is "one hundred billion, four hundred four million, two hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 4426993 8853986 13280979 17707972 22134965 26561958 30988951 35415944 39842937 44269930 53123916 61977902 66404895 79685874 88539860 92966853 106247832 119528811 123955804 132809790 154944755 159371748 177079720 185933706 199214685 239057622 247911608 265619580 278900559 309889510 318743496 358586433 371867412 398429370 464834265 478115244 531239160 557801118 597644055 619779020 717172866 743734824 796858740 836701677 929668530 956230488 1115602236 1195288110 1239558040 1394502795 1434345732 1593717480 1673403354 1792932165 1859337060 2231204472 2390576220 2510105031 2789005590 2868691464 3346806708 3585864330 3718674120 4183508385 4781152440 5020210062 5578011180 6693613416 7171728660 8367016770 10040420124 11156022360 12550525155 14343457320 16734033540 20080840248 25101050310 33468067080 50202100620 100404201240