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100021122110 = 2574133110337
BaseRepresentation
bin101110100100110111…
…0010011010000111110
3100120011122101110100002
41131021232103100332
53114320401401420
6113540555434302
710140421340000
oct1351156232076
9316148343302
10100021122110
1139467352498
1217474a55992
13957ccc6830
144babb9c370
15290600d075
hex1749b9343e

100021122110 has 160 divisors (see below), whose sum is σ = 233507135232. Its totient is φ = 30630942720.

The previous prime is 100021122109. The next prime is 100021122139. The reversal of 100021122110 is 11221120001.

It is a super-3 number, since 3×1000211221103 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100021122091 and 100021122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9670862 + ... + 9681198.

Almost surely, 2100021122110 is an apocalyptic number.

100021122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021122110 is an abundant number, since it is smaller than the sum of its proper divisors (133486013122).

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

100021122110 is a wasteful number, since it uses less digits than its factorization.

100021122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10416 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100021122110 its reverse (11221120001), we get a palindrome (111242242111).

The spelling of 100021122110 in words is "one hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 31 35 49 62 65 70 91 98 130 155 182 217 245 310 343 403 434 455 490 637 686 806 910 1085 1274 1519 1715 2015 2170 2401 2821 3038 3185 3430 4030 4459 4802 5642 6370 7595 8918 10337 10633 12005 14105 15190 19747 20674 21266 22295 24010 28210 31213 39494 44590 51685 53165 62426 72359 74431 98735 103370 106330 134381 138229 144718 148862 156065 197470 268762 276458 312130 320447 361795 372155 506513 640894 671905 691145 723590 744310 940667 967603 1013026 1343810 1382290 1602235 1881334 1935206 2243129 2532565 3204470 3545591 4165811 4486258 4703335 4838015 5065130 6584669 7091182 8331622 9406670 9676030 11215645 13169338 15701903 17727955 20829055 22431290 24819137 29160677 31403806 32923345 35455910 41658110 46092683 49638274 58321354 65846690 78509515 92185366 109913321 124095685 145803385 157019030 204124739 219826642 230463415 248191370 291606770 322648781 408249478 460926830 549566605 645297562 769393247 1020623695 1099133210 1428873173 1538786494 1613243905 2041247390 2857746346 3226487810 3846966235 7144365865 7693932470 10002112211 14288731730 20004224422 50010561055 100021122110