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20220022102112 = 2572234679119827
BaseRepresentation
bin1001001100011110101110…
…01111000001100001100000
32122121000102002212100210122
410212033113033001201200
510122241101124231422
6111000541103215412
74154563666025300
oct446172717014140
978530362770718
1020220022102112
116496299383968
1223269385a7568
13b389807489c1
144dc923539600
15250e80e8ed42
hex1263d73c1860

20220022102112 has 144 divisors (see below), whose sum is σ = 48331559727360. Its totient is φ = 8287112477952.

The previous prime is 20220022102081. The next prime is 20220022102129. The reversal of 20220022102112 is 21120122002202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168683543 + ... + 168803369.

It is an arithmetic number, because the mean of its divisors is an integer number (335635831440).

Almost surely, 220220022102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220022102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165779863680).

20220022102112 is an abundant number, since it is smaller than the sum of its proper divisors (28111537625248).

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

20220022102112 is a wasteful number, since it uses less digits than its factorization.

20220022102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124553 (or 124538 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20220022102112 its reverse (21120122002202), we get a palindrome (41340144104314).

The spelling of 20220022102112 in words is "twenty trillion, two hundred twenty billion, twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 4679 5152 9016 9358 18032 18716 32753 36064 37432 65506 74864 107617 119827 131012 149728 215234 229271 239654 262024 430468 458542 479308 524048 753319 838789 860936 917084 958616 1048096 1506638 1677578 1721872 1834168 1917232 2756021 3013276 3355156 3443744 3668336 3834464 5273233 5512042 5871523 6026552 6710312 7336672 10546466 11024084 11743046 12053104 13420624 19292147 21092932 22048168 23486092 24106208 26841248 38584294 42185864 44096336 46972184 77168588 84371728 88192672 93944368 135045029 154337176 168743456 187888736 270090058 308674352 540180116 560670533 617348704 1080360232 1121341066 2160720464 2242682132 3924693731 4321440928 4485364264 7849387462 8970728528 12895422259 15698774924 17941457056 25790844518 27472856117 31397549848 51581689036 54945712234 62795099696 90267955813 103163378072 109891424468 125590199392 180535911626 206326756144 219782848936 361071823252 412653512288 439565697872 631875690691 722143646504 879131395744 1263751381382 1444287293008 2527502762764 2888574586016 5055005525528 10110011051056 20220022102112