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22010102210100 = 22352313763964261
BaseRepresentation
bin1010000000100101000000…
…10100101101111000110100
32212221010220212101210122110
411000102200110231320310
510341103142131210400
6114451145032331020
74431114564630354
oct500224024557064
985833825353573
1022010102210100
117016482993894
122575856843a70
13c3870b771004
1456141a678b64
152827eebb0e50
hex1404a052de34

22010102210100 has 144 divisors (see below), whose sum is σ = 67513510969856. Its totient is φ = 5526512064000.

The previous prime is 22010102210099. The next prime is 22010102210179. The reversal of 22010102210100 is 101220101022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31638031 + ... + 32326230.

Almost surely, 222010102210100 is an apocalyptic number.

22010102210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010102210100 is an abundant number, since it is smaller than the sum of its proper divisors (45503408759756).

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

22010102210100 is a wasteful number, since it uses less digits than its factorization.

22010102210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63964346 (or 63964339 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22010102210100 its reverse (101220101022), we get a palindrome (22111322311122).

The spelling of 22010102210100 in words is "twenty-two trillion, ten billion, one hundred two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 37 50 60 62 74 75 93 100 111 124 148 150 155 185 186 222 300 310 370 372 444 465 555 620 740 775 925 930 1110 1147 1550 1850 1860 2220 2294 2325 2775 3100 3441 3700 4588 4650 5550 5735 6882 9300 11100 11470 13764 17205 22940 28675 34410 57350 68820 86025 114700 172050 344100 63964261 127928522 191892783 255857044 319821305 383785566 639642610 767571132 959463915 1279285220 1599106525 1918927830 1982892091 2366677657 3198213050 3837855660 3965784182 4733355314 4797319575 5948676273 6396426100 7100032971 7931568364 9466710628 9594639150 9914460455 11833388285 11897352546 14200065942 19189278300 19828920910 23666776570 23794705092 28400131884 29743381365 35500164855 39657841820 47333553140 49572302275 59166941425 59486762730 71000329710 73367007367 99144604550 118333882850 118973525460 142000659420 146734014734 148716906825 177500824275 198289209100 220101022101 236667765700 293468029468 297433813650 355001648550 366835036835 440202044202 594867627300 710003297100 733670073670 880404088404 1100505110505 1467340147340 1834175184175 2201010221010 3668350368350 4402020442020 5502525552525 7336700736700 11005051105050 22010102210100