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220200210100112 = 2411131167448312757
BaseRepresentation
bin110010000100010101011011…
…010011010110111110010000
31001212122221020020201102220012
4302010111123103112332100
5212330230012241200422
62100154325140534052
764244640324165254
oct6204253323267620
91055587206642805
10220200210100112
1164187425aa2940
12208443389b1328
1395b3a38274378
143c53a65c14264
151a6cda5a4b4e2
hexc8455b4d6f90

220200210100112 has 160 divisors (see below), whose sum is σ = 471926488771584. Its totient is φ = 98702417548800.

The previous prime is 220200210100093. The next prime is 220200210100133. The reversal of 220200210100112 is 211001012002022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17261121638 + ... + 17261134394.

Almost surely, 2220200210100112 is an apocalyptic number.

220200210100112 is a gapful number since it is divisible by the number (22) 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 220200210100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235963244385792).

220200210100112 is an abundant number, since it is smaller than the sum of its proper divisors (251726278671472).

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

220200210100112 is a wasteful number, since it uses less digits than its factorization.

220200210100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17557 (or 17551 counting only the distinct ones).

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

Adding to 220200210100112 its reverse (211001012002022), we get a palindrome (431201222102134).

The spelling of 220200210100112 in words is "two hundred twenty trillion, two hundred billion, two hundred ten million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 131 167 176 262 334 524 668 1048 1336 1441 1837 2096 2672 2882 3674 4483 5764 7348 8966 11528 12757 14696 17932 21877 23056 25514 29392 35864 43754 49313 51028 71728 87508 98626 102056 140327 175016 197252 204112 240647 280654 350032 394504 481294 561308 587273 748661 789008 962588 1122616 1174546 1497322 1671167 1925176 2130419 2245232 2349092 2994644 3342334 3850352 4260838 4698184 5989288 6460003 6684668 8235271 8521676 9396368 11978576 12920006 13369336 16470542 17043352 18382837 23434609 25840012 26738672 32941084 34086704 36765674 46869218 51680024 57189631 65882168 73531348 93738436 98074591 103360048 114379262 131764336 147062696 187476872 196149182 228758524 279084889 294125392 374953744 392298364 457517048 558169778 629085941 784596728 915034096 1078820501 1116339556 1258171882 1569193456 2157641002 2232679112 2516343764 3069933779 4315282004 4465358224 5032687528 6139867558 7491841661 8630564008 9550668377 10065375056 12279735116 14983683322 17261128016 19101336754 24559470232 29967366644 38202673508 49118940464 59934733288 76405347016 82410258271 105057352147 119869466576 152810694032 164820516542 210114704294 329641033084 420229408588 659282066168 840458817176 1251137557387 1318564132336 1680917634352 2502275114774 5004550229548 10009100459096 13762513131257 20018200918192 27525026262514 55050052525028 110100105050056 220200210100112