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220001221020210 = 23572776315993723
BaseRepresentation
bin110010000001011100000110…
…101000010000101000110010
31001211221220121100122211001220
4302001130012220100220302
5212314000000040121320
62055523055442205510
764224364230003210
oct6201340650205062
91054856540584056
10220001221020210
116410aaa29339a3
1220811863953896
13959b045516986
143c4818a0c3cb0
151a67b0b213e40
hexc81706a10a32

220001221020210 has 128 divisors (see below), whose sum is σ = 606570239176704. Its totient is φ = 50025042305280.

The previous prime is 220001221020169. The next prime is 220001221020211. The reversal of 220001221020210 is 12020122100022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220001221020210.

It is not an unprimeable number, because it can be changed into a prime (220001221020211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33708409 + ... + 39702131.

It is an arithmetic number, because the mean of its divisors is an integer number (4738829993568).

Almost surely, 2220001221020210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220001221020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303285119588352).

220001221020210 is an abundant number, since it is smaller than the sum of its proper divisors (386569018156494).

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

220001221020210 is a wasteful number, since it uses less digits than its factorization.

220001221020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994648.

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

Adding to 220001221020210 its reverse (12020122100022), we get a palindrome (232021343120232).

The spelling of 220001221020210 in words is "two hundred twenty trillion, one billion, two hundred twenty-one million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 277 554 631 831 1262 1385 1662 1893 1939 2770 3155 3786 3878 4155 4417 5817 6310 8310 8834 9465 9695 11634 13251 18930 19390 22085 26502 29085 44170 58170 66255 132510 174787 349574 524361 873935 1048722 1223509 1747870 2447018 2621805 3670527 5243610 5993723 6117545 7341054 11987446 12235090 17981169 18352635 29968615 35962338 36705270 41956061 59937230 83912122 89905845 125868183 179811690 209780305 251736366 419560610 629340915 1258681830 1660261271 3320522542 3782039213 4980783813 7564078426 8301306355 9961567626 11346117639 11621828897 16602612710 18910196065 22692235278 23243657794 24903919065 26474274491 34865486691 37820392130 49807838130 52948548982 56730588195 58109144485 69730973382 79422823473 113461176390 116218288970 132371372455 158845646946 174327433455 264742744910 348654866910 397114117365 794228234730 1047624862001 2095249724002 3142874586003 5238124310005 6285749172006 7333374034007 10476248620010 14666748068014 15714372930015 22000122102021 31428745860030 36666870170035 44000244204042 73333740340070 110000610510105 220001221020210