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22012101100220 = 22571127675165729
BaseRepresentation
bin1010000000101000101110…
…11101111000001010111100
32212221100002011122221101212
411000110113131320022330
510341121240340201340
6114452115235423552
74431215246130350
oct500242735701274
985840064587355
1022012101100220
1170173092425a0
122576114154bb8
13c3896991a12a
14561569d25460
152828ba404a65
hex1405177782bc

22012101100220 has 96 divisors (see below), whose sum is σ = 57652522260480. Its totient is φ = 6858433751040.

The previous prime is 22012101100219. The next prime is 22012101100271. The reversal of 22012101100220 is 2200110121022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22012101100195 and 22012101100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678316 + ... + 6844044.

It is an arithmetic number, because the mean of its divisors is an integer number (600547106880).

Almost surely, 222012101100220 is an apocalyptic number.

22012101100220 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 22012101100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28826261130240).

22012101100220 is an abundant number, since it is smaller than the sum of its proper divisors (35640421160260).

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

22012101100220 is a wasteful number, since it uses less digits than its factorization.

22012101100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168523 (or 5168521 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22012101100220 its reverse (2200110121022), we get a palindrome (24212211221242).

The spelling of 22012101100220 in words is "twenty-two trillion, twelve billion, one hundred one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2767 5534 11068 13835 19369 27670 30437 38738 55340 60874 77476 96845 121748 152185 193690 213059 304370 387380 426118 608740 852236 1065295 2130590 4261180 5165729 10331458 20662916 25828645 36160103 51657290 56823019 72320206 103314580 113646038 144640412 180800515 227292076 284115095 361601030 397761133 568230190 723202060 795522266 1136460380 1591044532 1988805665 3977611330 7955222660 14293572143 28587144286 57174288572 71467860715 100055005001 142935721430 157229293573 200110010002 285871442860 314458587146 400220020004 500275025005 628917174292 786146467865 1000550050010 1100605055011 1572292935730 2001100100020 2201210110022 3144585871460 4402420220044 5503025275055 11006050550110 22012101100220