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100420324130 = 25721725771229
BaseRepresentation
bin101110110000110000…
…1001000101100100010
3100121012110120000120002
41131201201020230202
53121130100333010
6114044340020002
710153336446200
oct1354141105442
9317173500502
10100420324130
1139651722915
1217566691602
139614918b49
144c08bd6070
15292b0b51a5
hex1761848b22

100420324130 has 144 divisors (see below), whose sum is σ = 223933303080. Its totient is φ = 32322060288.

The previous prime is 100420324117. The next prime is 100420324133. The reversal of 100420324130 is 31423024001.

It can be written as a sum of positive squares in 12 ways, for example, as 93433537561 + 6986786569 = 305669^2 + 83587^2 .

It is not an unprimeable number, because it can be changed into a prime (100420324133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81708356 + ... + 81709584.

Almost surely, 2100420324130 is an apocalyptic number.

100420324130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100420324130 is an abundant number, since it is smaller than the sum of its proper divisors (123512978950).

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

100420324130 is a wasteful number, since it uses less digits than its factorization.

100420324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100420324130 its reverse (31423024001), we get a palindrome (131843348131).

The spelling of 100420324130 in words is "one hundred billion, four hundred twenty million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 289 490 577 578 595 833 1154 1190 1229 1445 1666 2023 2458 2885 2890 4039 4046 4165 5770 6145 8078 8330 8603 9809 10115 12290 14161 17206 19618 20195 20230 20893 28273 28322 40390 41786 43015 49045 56546 60221 68663 70805 86030 98090 104465 120442 137326 141365 141610 146251 166753 208930 282730 292502 301105 333506 343315 355181 480641 602210 686630 709133 710362 731255 833765 961282 1023757 1167271 1418266 1462510 1667530 1775905 2047514 2334542 2403205 2486267 3545665 3551810 4806410 4963931 4972534 5118785 5836355 7091330 8170897 9927862 10237570 11672710 12055261 12431335 16341794 17403869 24110522 24819655 24862670 34747517 34807738 40854485 49639310 60276305 69495034 81708970 84386827 87019345 120552610 168773654 173737585 174038690 204939437 347475170 409878874 421934135 590707789 843868270 1024697185 1181415578 1434576059 2049394370 2869152118 2953538945 5907077890 7172880295 10042032413 14345760590 20084064826 50210162065 100420324130