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231022101222 = 2321117483114207
BaseRepresentation
bin1101011100100111111…
…1011000001011100110
3211002022022211201011100
43113021333120023212
512241113124214342
6254044033220530
722455641313543
oct3271177301346
9732268751140
10231022101222
1189a80a53a90
1238934a01746
1318a2938c0a3
14b27818bbca
156021b97e4c
hex35c9fd82e6

231022101222 has 96 divisors (see below), whose sum is σ = 578333343744. Its totient is φ = 65870380800.

The previous prime is 231022101217. The next prime is 231022101253. The reversal of 231022101222 is 222101220132.

231022101222 is a `hidden beast` number, since 231 + 0 + 2 + 210 + 1 + 222 = 666.

231022101222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2310221012222 (a number of 24 digits) contains 22 as substring.

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 = 231022101195 and 231022101204.

It is a congruent number.

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, 16254043 + ... + 16268249.

It is an arithmetic number, because the mean of its divisors is an integer number (6024305664).

Almost surely, 2231022101222 is an apocalyptic number.

231022101222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 231022101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289166671872).

231022101222 is an abundant number, since it is smaller than the sum of its proper divisors (347311242522).

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

231022101222 is a wasteful number, since it uses less digits than its factorization.

231022101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19074 (or 19071 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 231022101222 its reverse (222101220132), we get a palindrome (453123321354).

The spelling of 231022101222 in words is "two hundred thirty-one billion, twenty-two million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 4831 9662 14207 14493 28414 28986 42621 43479 53141 82127 85242 86958 106282 127863 156277 159423 164254 241519 246381 255726 312554 318846 468831 478269 483038 492762 724557 739143 903397 937662 956538 1406493 1449114 1478286 1806794 2173671 2656709 2710191 2812986 4347342 5313418 5420382 7970127 8130573 15940254 16261146 23910381 47820762 68634017 137268034 205902051 411804102 617706153 754974187 1166778289 1235412306 1509948374 2264922561 2333556578 3500334867 4529845122 6794767683 7000669734 10501004601 12834561179 13589535366 21002009202 25669122358 38503683537 77007367074 115511050611 231022101222