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220212201002010 = 235738918583145063
BaseRepresentation
bin110010000100100000100110…
…000001000001010000011010
31001212201002011220201100222220
4302010200212001001100122
5212330424041424031020
62100204031043324510
764245543425160030
oct6204404601012032
91055632156640886
10220212201002010
11641915195aaa18
1220846724680736
1395b4bc95719a9
143c54482544550
151a6d3585c1240
hexc8482604141a

220212201002010 has 128 divisors (see below), whose sum is σ = 605600096624640. Its totient is φ = 50201775772416.

The previous prime is 220212201001999. The next prime is 220212201002023. The reversal of 220212201002010 is 10200102212022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1517972739 + ... + 1518117801.

It is an arithmetic number, because the mean of its divisors is an integer number (4731250754880).

Almost surely, 2220212201002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220212201002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302800048312320).

220212201002010 is an abundant number, since it is smaller than the sum of its proper divisors (385387895622630).

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

220212201002010 is a wasteful number, since it uses less digits than its factorization.

220212201002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164052.

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

Adding to 220212201002010 its reverse (10200102212022), we get a palindrome (230412303214032).

The spelling of 220212201002010 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred one million, two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 389 778 1167 1945 2334 2723 3890 5446 5835 8169 11670 13615 16338 18583 27230 37166 40845 55749 81690 92915 111498 130081 145063 185830 260162 278745 290126 390243 435189 557490 650405 725315 780486 870378 1015441 1300810 1450630 1951215 2030882 2175945 3046323 3902430 4351890 5077205 6092646 7228787 10154410 14457574 15231615 21686361 30463230 36143935 43372722 50601509 56429507 72287870 101203018 108431805 112859014 151804527 169288521 216863610 253007545 282147535 303609054 338577042 395006549 506015090 564295070 759022635 790013098 846442605 1185019647 1518045270 1692885210 1975032745 2370039294 2695705729 3950065490 5391411458 5925098235 8087117187 11850196470 13478528645 16174234374 18869940103 26957057290 37739880206 40435585935 56609820309 80871171870 94349700515 113219640618 188699401030 283049101545 566098203090 1048629528581 2097259057162 3145888585743 5243147642905 6291777171486 7340406700067 10486295285810 14680813400134 15729442928715 22021220100201 31458885857430 36702033500335 44042440200402 73404067000670 110106100501005 220212201002010