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22021030012100 = 22527371230169119
BaseRepresentation
bin1010000000111001010111…
…01010111110010011000100
32212222012010102222122211212
411000130223222332103010
510341243032140341400
6114500153241150552
74431652436463410
oct500345352762304
985865112878755
1022021030012100
11702008039a209
1225779a648b458
13c3976073a542
14561b75b13d40
15282c3e23d335
hex14072babe4c4

22021030012100 has 144 divisors (see below), whose sum is σ = 56093529784320. Its totient is φ = 7345308096000.

The previous prime is 22021030012087. The next prime is 22021030012141. The reversal of 22021030012100 is 121003012022.

It is a happy number.

It is a super-2 number, since 2×220210300121002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 318561341 + ... + 318630459.

It is an arithmetic number, because the mean of its divisors is an integer number (389538401280).

Almost surely, 222021030012100 is an apocalyptic number.

22021030012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021030012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28046764892160).

22021030012100 is an abundant number, since it is smaller than the sum of its proper divisors (34072499772220).

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

22021030012100 is a wasteful number, since it uses less digits than its factorization.

22021030012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81478 (or 81471 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22021030012100 its reverse (121003012022), we get a palindrome (22142033024122).

The spelling of 22021030012100 in words is "twenty-two trillion, twenty-one billion, thirty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1850 2590 3700 5180 6475 12301 12950 24602 25900 49204 61505 69119 86107 123010 138238 172214 246020 276476 307525 344428 345595 430535 455137 483833 615050 691190 861070 910274 967666 1230100 1382380 1722140 1727975 1820548 1935332 2152675 2275685 2419165 2557403 3185959 3455950 4305350 4551370 4838330 5114806 6371918 6911900 8610700 9102740 9676660 10229612 11378425 12095825 12743836 12787015 15929795 17901821 22756850 24191650 25574030 31859590 35803642 45513700 48383300 51148060 63719180 63935075 71607284 79648975 89509105 127870150 159297950 179018210 255740300 318595900 358036420 447545525 850232819 895091050 1700465638 1790182100 3400931276 4251164095 5951629733 8502328190 11903259466 17004656380 21255820475 23806518932 29758148665 31458614303 42511640950 59516297330 62917228606 85023281900 119032594660 125834457212 148790743325 157293071515 220210300121 297581486650 314586143030 440420600242 595162973300 629172286060 786465357575 880841200484 1101051500605 1572930715150 2202103001210 3145861430300 4404206002420 5505257503025 11010515006050 22021030012100