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21022222020100 = 22527171992977541
BaseRepresentation
bin1001100011110100111100…
…00100110110111000000100
32202102201000210112111221021
410301322132010312320010
510223412002314120400
6112413250411400524
74266543154565350
oct461723604667004
982381023474837
1021022222020100
1167755243115a4
1224362b7753144
13b965053c85a2
145296a3b1a460
15266c8248471a
hex131e9e136e04

21022222020100 has 144 divisors (see below), whose sum is σ = 58107244648320. Its totient is φ = 6426607564800.

The previous prime is 21022222020091. The next prime is 21022222020113. The reversal of 21022222020100 is 102022222012.

It is a super-3 number, since 3×210222220201003 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46262671 + ... + 46714870.

It is an arithmetic number, because the mean of its divisors is an integer number (403522532280).

Almost surely, 221022222020100 is an apocalyptic number.

21022222020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022222020100 is an abundant number, since it is smaller than the sum of its proper divisors (37085022628220).

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

21022222020100 is a wasteful number, since it uses less digits than its factorization.

21022222020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92977598 (or 92977591 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21022222020100 its reverse (102022222012), we get a palindrome (21124244242112).

The spelling of 21022222020100 in words is "twenty-one trillion, twenty-two billion, two hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 532 595 646 665 700 850 950 1190 1292 1330 1615 1700 1900 2261 2380 2660 2975 3230 3325 4522 5950 6460 6650 8075 9044 11305 11900 13300 16150 22610 32300 45220 56525 113050 226100 92977541 185955082 371910164 464887705 650842787 929775410 1301685574 1580618197 1766573279 1859550820 2324438525 2603371148 3161236394 3254213935 3533146558 4648877050 6322472788 6508427870 7066293116 7903090985 8832866395 9297754100 11064327379 12366012953 13016855740 15806181970 16271069675 17665732790 22128654758 24732025906 30031745743 31612363940 32542139350 35331465580 39515454925 44164331975 44257309516 49464051812 55321636895 60063491486 61830064765 65084278700 79030909850 88328663950 110643273790 120126982972 123660129530 150158728715 158061819700 176657327900 210222220201 221286547580 247320259060 276608184475 300317457430 309150323825 420444440402 553216368950 600634914860 618300647650 750793643575 840888880804 1051111101005 1106432737900 1236601295300 1501587287150 2102222202010 3003174574300 4204444404020 5255555505025 10511111010050 21022222020100