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202022202122112 = 27310939883121019
BaseRepresentation
bin101101111011110011110101…
…100110000001111110000000
3222111022010121121200120102110
4231323303311212001332000
5202434412432220401422
61553355415103015320
760360423332614551
oct5573636546017600
9874263547616373
10202022202122112
1159409153432089
121a7a930a89a540
1388957c54c33c8
1437c5cd902a328
1518550db2c360c
hexb7bcf5981f80

202022202122112 has 128 divisors (see below), whose sum is σ = 541562660496000. Its totient is φ = 66720704845824.

The previous prime is 202022202122101. The next prime is 202022202122131. The reversal of 202022202122112 is 211221202220202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669282339 + ... + 1669403357.

It is an arithmetic number, because the mean of its divisors is an integer number (4230958285125).

Almost surely, 2202022202122112 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 202022202122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270781330248000).

202022202122112 is an abundant number, since it is smaller than the sum of its proper divisors (339540458373888).

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

202022202122112 is a wasteful number, since it uses less digits than its factorization.

202022202122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161028 (or 161016 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 202022202122112 its reverse (211221202220202), we get a palindrome (413243404342314).

The spelling of 202022202122112 in words is "two hundred two trillion, twenty-two billion, two hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3488 5232 6976 10464 13952 20928 39883 41856 79766 119649 121019 159532 239298 242038 319064 363057 478596 484076 638128 726114 957192 968152 1276256 1452228 1914384 1936304 2552512 2904456 3828768 3872608 4347247 5105024 5808912 7657536 7745216 8694494 11617824 13041741 13191071 15315072 15490432 17388988 23235648 26083482 26382142 34777976 39573213 46471296 52166964 52764284 69555952 79146426 104333928 105528568 139111904 158292852 208667856 211057136 278223808 316585704 417335712 422114272 556447616 633171408 834671424 844228544 1266342816 1669342848 1688457088 2532685632 4826600777 5065371264 9653201554 14479802331 19306403108 28959604662 38612806216 57919209324 77225612432 115838418648 154451224864 231676837296 308902449728 463353674592 526099484693 617804899456 926707349184 1052198969386 1578298454079 1853414698368 2104397938772 3156596908158 4208795877544 6313193816316 8417591755088 12626387632632 16835183510176 25252775265264 33670367020352 50505550530528 67340734040704 101011101061056 202022202122112