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221200201011000 = 23353152417483761
BaseRepresentation
bin110010010010111000101111…
…011001111100111100111000
31002000012112101100001002110110
4302102320233121330330320
5212443121002424323000
62102241545224344320
764410121121530401
oct6222705731747470
91060175340032413
10221200201011000
116453252987aa72
12209860b79150a0
1396571216a9b23
143c8a20ad729a8
151a88dd15b9850
hexc92e2f67cf38

221200201011000 has 128 divisors (see below), whose sum is σ = 690150581789760. Its totient is φ = 58986211328000.

The previous prime is 221200201010963. The next prime is 221200201011047. The reversal of 221200201011000 is 110102002122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457009120 + ... + 457492880.

Almost surely, 2221200201011000 is an apocalyptic number.

221200201011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200201011000 is an abundant number, since it is smaller than the sum of its proper divisors (468950380778760).

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

221200201011000 is a wasteful number, since it uses less digits than its factorization.

221200201011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636202 (or 636188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221200201011000 its reverse (110102002122), we get a palindrome (221310303013122).

The spelling of 221200201011000 in words is "two hundred twenty-one trillion, two hundred billion, two hundred one million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 152417 304834 457251 483761 609668 762085 914502 967522 1219336 1451283 1524170 1829004 1935044 2286255 2418805 2902566 3048340 3658008 3810425 3870088 4572510 4837610 5805132 6096680 7256415 7620850 9145020 9675220 11431275 11610264 12094025 14512830 15241700 18290040 19052125 19350440 22862550 24188050 29025660 30483400 36282075 38104250 45725100 48376100 57156375 58051320 60470125 72564150 76208500 91450200 96752200 114312750 120940250 145128300 152417000 181410375 228625500 241880500 290256600 362820750 457251000 483761000 725641500 1451283000 73733400337 147466800674 221200201011 294933601348 368667001685 442400402022 589867202696 737334003370 884800804044 1106001005055 1474668006740 1769601608088 1843335008425 2212002010110 2949336013480 3686670016850 4424004020220 5530005025275 7373340033700 8848008040440 9216675042125 11060010050550 14746680067400 18433350084250 22120020101100 27650025126375 36866700168500 44240040202200 55300050252750 73733400337000 110600100505500 221200201011000