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202122002112 = 2631761924633
BaseRepresentation
bin1011110000111101101…
…0001111111011000000
3201022201020012120011020
42330033122033323000
511302421213031422
6232504211545440
720413525446042
oct2741732177300
9638636176136
10202122002112
11787a0667858
123320a2bb280
13160a1b41824
149ad5c57a92
1553ce8d595c
hex2f0f68fec0

202122002112 has 56 divisors (see below), whose sum is σ = 566238853296. Its totient is φ = 63410823168.

The previous prime is 202122002083. The next prime is 202122002141. The reversal of 202122002112 is 211200221202.

It is an interprime number because it is at equal distance from previous prime (202122002083) and next prime (202122002141).

It is a super-3 number, since 3×2021220021123 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202122002091 and 202122002100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30959053 + ... + 30965580.

Almost surely, 2202122002112 is an apocalyptic number.

It is an amenable number.

202122002112 is an abundant number, since it is smaller than the sum of its proper divisors (364116851184).

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

202122002112 is a wasteful number, since it uses less digits than its factorization.

202122002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61924665 (or 61924655 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202122002112 its reverse (211200221202), we get a palindrome (413322223314).

The spelling of 202122002112 in words is "two hundred two billion, one hundred twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 61924633 123849266 185773899 247698532 371547798 495397064 743095596 990794128 1052718761 1486191192 1981588256 2105437522 2972382384 3158156283 3963176512 4210875044 5944764768 6316312566 8421750088 11889529536 12632625132 16843500176 25265250264 33687000352 50530500528 67374000704 101061001056 202122002112