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201001101221112 = 233672834391006147
BaseRepresentation
bin101101101100111100110111…
…001111001101110011111000
3222100200111222100012022102120
4231230330313033031303320
5202321200223403033422
61551254344155001240
760223564444303653
oct5554746717156370
9870614870168376
10201001101221112
11590550a7607a35
121a66343a139220
13882042674513a
14378c71040689a
15183877732d45c
hexb6cf373cdcf8

201001101221112 has 128 divisors (see below), whose sum is σ = 512971276646400. Its totient is φ = 65617268289408.

The previous prime is 201001101221087. The next prime is 201001101221117. The reversal of 201001101221112 is 211122101100102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201001101221091 and 201001101221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001101221117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199270023 + ... + 200276169.

It is an arithmetic number, because the mean of its divisors is an integer number (4007588098800).

Almost surely, 2201001101221112 is an apocalyptic number.

It is an amenable number.

201001101221112 is an abundant number, since it is smaller than the sum of its proper divisors (311970175425288).

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

201001101221112 is a wasteful number, since it uses less digits than its factorization.

201001101221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006945 (or 1006941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201001101221112 its reverse (211122101100102), we get a palindrome (412123202321214).

The spelling of 201001101221112 in words is "two hundred one trillion, one billion, one hundred one million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 283 402 439 536 566 804 849 878 1132 1317 1608 1698 1756 2264 2634 3396 3512 5268 6792 10536 18961 29413 37922 56883 58826 75844 88239 113766 117652 124237 151688 176478 227532 235304 248474 352956 372711 455064 496948 705912 745422 993896 1006147 1490844 2012294 2981688 3018441 4024588 6036882 8049176 8323879 12073764 16647758 24147528 24971637 33295516 49943274 66591032 67411849 99886548 134823698 199773096 202235547 269647396 284739601 404471094 441698533 539294792 569479202 808942188 854218803 883397066 1138958404 1325095599 1617884376 1708437606 1766794132 2277916808 2650191198 3416875212 3533588264 5300382396 6833750424 10600764792 19077553267 29593801711 38155106534 57232659801 59187603422 76310213068 88781405133 114465319602 118375206844 125000684839 152620426136 177562810266 228930639204 236750413688 250001369678 355125620532 375002054517 457861278408 500002739356 710251241064 750004109034 1000005478712 1500008218068 3000016436136 8375045884213 16750091768426 25125137652639 33500183536852 50250275305278 67000367073704 100500550610556 201001101221112