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102242624220 = 22355111912507
BaseRepresentation
bin101111100111000100…
…0101010001011011100
3100202220110112110100000
41133032020222023130
53133343102433340
6114545234134300
710246444652352
oct1371610521334
9322813473300
10102242624220
113a3a7328950
1217994a21390
139845316219
144d3cc357d2
1529d6075d30
hex17ce22a2dc

102242624220 has 144 divisors (see below), whose sum is σ = 350861067648. Its totient is φ = 24786077760.

The previous prime is 102242624213. The next prime is 102242624227. The reversal of 102242624220 is 22426242201.

102242624220 is a `hidden beast` number, since 10 + 2 + 2 + 4 + 2 + 624 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (102242624213) and next prime (102242624227).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102242624227) by changing a digit.

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, 902794 + ... + 1009713.

It is an arithmetic number, because the mean of its divisors is an integer number (2436535192).

Almost surely, 2102242624220 is an apocalyptic number.

102242624220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102242624220 is an abundant number, since it is smaller than the sum of its proper divisors (248618443428).

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

102242624220 is a wasteful number, since it uses less digits than its factorization.

102242624220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912542 (or 1912528 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102242624220 its reverse (22426242201), we get a palindrome (124668866421).

The spelling of 102242624220 in words is "one hundred two billion, two hundred forty-two million, six hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 1912507 3825014 5737521 7650028 9562535 11475042 17212563 19125070 21037577 22950084 28687605 34425126 38250140 42075154 51637689 57375210 63112731 68850252 84150308 86062815 103275378 105187885 114750420 126225462 154913067 172125630 189338193 206550756 210375770 252450924 258188445 309826134 315563655 344251260 378676386 420751540 464739201 516376890 568014579 619652268 631127310 757352772 774565335 929478402 946690965 1032753780 1136029158 1262254620 1549130670 1704043737 1858956804 1893381930 2272058316 2323696005 2840072895 3098261340 3408087474 3786763860 4647392010 5112131211 5680145790 6816174948 8520218685 9294784020 10224262422 11360291580 17040437370 20448524844 25560656055 34080874740 51121312110 102242624220