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220101021120222 = 232113167535205257
BaseRepresentation
bin110010000010111001000011…
…001011011011011011011110
31001212022110012121011012002100
4302002321003023123123132
5212322113342401321342
62100041002504505530
764234526325602004
oct6202710313333336
91055273177135070
10220101021120222
11641493564451a0
122082907677b2a6
1395a758b7a57a8
143c4cd3678aa74
151a6a4ecb13e4c
hexc82e432db6de

220101021120222 has 96 divisors (see below), whose sum is σ = 545035908178944. Its totient is φ = 63582384412800.

The previous prime is 220101021120203. The next prime is 220101021120223. The reversal of 220101021120222 is 222021120101022.

It is a happy number.

220101021120222 is a `hidden beast` number, since 2 + 201 + 0 + 10 + 211 + 20 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220101021120195 and 220101021120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101021120223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267191383 + ... + 268013874.

It is an arithmetic number, because the mean of its divisors is an integer number (5677457376864).

Almost surely, 2220101021120222 is an apocalyptic number.

220101021120222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220101021120222 is an abundant number, since it is smaller than the sum of its proper divisors (324934887058722).

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

220101021120222 is a wasteful number, since it uses less digits than its factorization.

220101021120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535205374 (or 535205371 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220101021120222 its reverse (222021120101022), we get a palindrome (442122141221244).

The spelling of 220101021120222 in words is "two hundred twenty trillion, one hundred one billion, twenty-one million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 67 93 99 134 186 198 201 279 341 402 558 603 682 737 1023 1206 1474 2046 2077 2211 3069 4154 4422 6138 6231 6633 12462 13266 18693 22847 37386 45694 68541 137082 205623 411246 535205257 1070410514 1605615771 3211231542 4816847313 5887257827 9633694626 11774515654 16591362967 17661773481 33182725934 35323546962 35858752219 49774088901 52985320443 71717504438 99548177802 105970640886 107576256657 149322266703 182504992637 215152513314 298644533406 322728769971 365009985274 394446274409 547514977911 645457539942 788892548818 1095029955822 1111621318789 1183338823227 1642544933733 2223242637578 2366677646454 3285089867466 3334863956367 3550016469681 6669727912734 7100032939362 10004591869101 12227834506679 20009183738202 24455669013358 36683503520037 73367007040074 110050510560111 220101021120222