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110221210202112 = 2123210129603383
BaseRepresentation
bin11001000011111011100000…
…000101001011000000000000
3112110021001012122120101001200
4121003323200011023000000
5103421331014302431422
61030230531442101200
732134135224306522
oct3103734005130000
9473231178511050
10110221210202112
1132135609775149
121044173834a800
134966a7a922289
141d30a40d31a12
15cb218eca62ac
hex643ee014b000

110221210202112 has 156 divisors (see below), whose sum is σ = 321530228124144. Its totient is φ = 36376635801600.

The previous prime is 110221210202107. The next prime is 110221210202161. The reversal of 110221210202112 is 211202012122011.

110221210202112 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 210 + 20 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11078428 + ... + 18524955.

It is an arithmetic number, because the mean of its divisors is an integer number (2061091205924).

Almost surely, 2110221210202112 is an apocalyptic number.

110221210202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110221210202112 is an abundant number, since it is smaller than the sum of its proper divisors (211309017922032).

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

110221210202112 is a wasteful number, since it uses less digits than its factorization.

110221210202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29603514 (or 29603489 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110221210202112 its reverse (211202012122011), we get a palindrome (321423222324123).

The spelling of 110221210202112 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1024 1152 1212 1536 1616 1818 2048 2304 2424 3072 3232 3636 4096 4608 4848 6144 6464 7272 9216 9696 12288 12928 14544 18432 19392 25856 29088 36864 38784 51712 58176 77568 103424 116352 155136 206848 232704 310272 413696 465408 620544 930816 1241088 1861632 3723264 29603383 59206766 88810149 118413532 177620298 236827064 266430447 355240596 473654128 532860894 710481192 947308256 1065721788 1420962384 1894616512 2131443576 2841924768 2989941683 3789233024 4262887152 5683849536 5979883366 7578466048 8525774304 8969825049 11367699072 11959766732 15156932096 17051548608 17939650098 22735398144 23919533464 26909475147 30313864192 34103097216 35879300196 45470796288 47839066928 53818950294 60627728384 68206194432 71758600392 90941592576 95678133856 107637900588 121255456768 136412388864 143517200784 181883185152 191356267712 215275801176 272824777728 287034401568 363766370304 382712535424 430551602352 545649555456 574068803136 765425070848 861103204704 1091299110912 1148137606272 1530850141696 1722206409408 2296275212544 3061700283392 3444412818816 4592550425088 6123400566784 6888825637632 9185100850176 12246801133568 13777651275264 18370201700352 27555302550528 36740403400704 55110605101056 110221210202112