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201000002122000 = 2453436138314907
BaseRepresentation
bin101101101100111011110101…
…101110011111000100010000
3222100200102010202001021220001
4231230323311232133010100
5202321141001020401000
61551254043133255344
760223525300152244
oct5554736556370420
9870612122037801
10201000002122000
1159054693158564
121a663192034554
1388202acb1b533
14378c648460424
151838710ac446a
hexb6cef5b9f110

201000002122000 has 160 divisors (see below), whose sum is σ = 505473561800064. Its totient is φ = 77242850496000.

The previous prime is 201000002121923. The next prime is 201000002122009. The reversal of 201000002122000 is 221200000102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201000002122009) 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, 13911454 + ... + 24403453.

Almost surely, 2201000002122000 is an apocalyptic number.

201000002122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000002122000 is an abundant number, since it is smaller than the sum of its proper divisors (304473559678064).

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

201000002122000 is a wasteful number, since it uses less digits than its factorization.

201000002122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38315034 (or 38315018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201000002122000 its reverse (221200000102), we get a palindrome (201221202122102).

The spelling of 201000002122000 in words is "two hundred one trillion, two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 61 80 86 100 122 125 172 200 215 244 250 305 344 400 430 488 500 610 688 860 976 1000 1075 1220 1525 1720 2000 2150 2440 2623 3050 3440 4300 4880 5246 5375 6100 7625 8600 10492 10750 12200 13115 15250 17200 20984 21500 24400 26230 30500 41968 43000 52460 61000 65575 86000 104920 122000 131150 209840 262300 327875 524600 655750 1049200 1311500 2623000 5246000 38314907 76629814 153259628 191574535 306519256 383149070 613038512 766298140 957872675 1532596280 1647541001 1915745350 2337209327 3065192560 3295082002 3831490700 4674418654 4789363375 6590164004 7662981400 8237705005 9348837308 9578726750 11686046635 13180328008 15325962800 16475410010 18697674616 19157453500 23372093270 26360656016 32950820020 37395349232 38314907000 41188525025 46744186540 58430233175 65901640040 76629814000 82377050050 93488373080 100500001061 116860466350 131803280080 164754100100 186976746160 201000002122 205942625125 233720932700 292151165875 329508200200 402000004244 411885250250 467441865400 502500005305 584302331750 659016400400 804000008488 823770500500 934883730800 1005000010610 1168604663500 1608000016976 1647541001000 2010000021220 2337209327000 2512500026525 3295082002000 4020000042440 4674418654000 5025000053050 8040000084880 10050000106100 12562500132625 20100000212200 25125000265250 40200000424400 50250000530500 100500001061000 201000002122000