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100020212110 = 257131921372707
BaseRepresentation
bin101110100100110101…
…0110101000110001110
3100120011120200020001101
41131021222311012032
53114320133241420
6113540524133314
710140410526640
oct1351152650616
9316146606041
10100020212110
1139466890825
121747469723a
13957ca68580
144baba02890
152905dcd60a
hex1749ab518e

100020212110 has 128 divisors (see below), whose sum is σ = 233440865280. Its totient is φ = 29963602944.

The previous prime is 100020212063. The next prime is 100020212111. The reversal of 100020212110 is 11212020001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020212111) 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 63 ways as a sum of consecutive naturals, for example, 36947377 + ... + 36950083.

It is an arithmetic number, because the mean of its divisors is an integer number (1823756760).

Almost surely, 2100020212110 is an apocalyptic number.

100020212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020212110 is an abundant number, since it is smaller than the sum of its proper divisors (133420653170).

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

100020212110 is a wasteful number, since it uses less digits than its factorization.

100020212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100020212110 its reverse (11212020001), we get a palindrome (111232232111).

The spelling of 100020212110 in words is "one hundred billion, twenty million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 65 70 91 95 130 133 182 190 247 266 455 494 665 910 1235 1330 1729 2137 2470 2707 3458 4274 5414 8645 10685 13535 14959 17290 18949 21370 27070 27781 29918 35191 37898 40603 51433 55562 70382 74795 81206 94745 102866 138905 149590 175955 189490 194467 203015 246337 257165 277810 284221 351910 360031 388934 406030 492674 514330 527839 568442 668629 720062 972335 1055678 1231685 1337258 1421105 1800155 1944670 2463370 2639195 2842210 3343145 3600310 3694873 4680403 5278390 5784859 6686290 7389746 9360806 11569718 18474365 23402015 28924295 36948730 40494013 46804030 57848590 75203167 80988026 109912321 150406334 202470065 219824642 376015835 404940130 526422169 549561605 752031670 769386247 1052844338 1099123210 1428860173 1538772494 2632110845 2857720346 3846931235 5264221690 7144300865 7693862470 10002021211 14288601730 20004042422 50010106055 100020212110