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201010220100200 = 23527243477005743
BaseRepresentation
bin101101101101000101010110…
…110000111110101001101000
3222100201101111211222100220002
4231231011112300332221220
5202321322412321201300
61551302453104122132
760224336432430200
oct5555052660765150
9870641454870802
10201010220100200
1159058a56a14845
121a665164006348
13882124aa19094
14378cd37525400
151838b0cb8d5d5
hexb6d156c3ea68

201010220100200 has 144 divisors (see below), whose sum is σ = 556293638767680. Its totient is φ = 67315050311040.

The previous prime is 201010220100199. The next prime is 201010220100223. The reversal of 201010220100200 is 2001022010102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 238081472 + ... + 238924271.

It is an arithmetic number, because the mean of its divisors is an integer number (3863150269220).

Almost surely, 2201010220100200 is an apocalyptic number.

201010220100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010220100200 is an abundant number, since it is smaller than the sum of its proper divisors (355283418667480).

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

201010220100200 is a wasteful number, since it uses less digits than its factorization.

201010220100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477005816 (or 477005800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201010220100200 its reverse (2001022010102), we get a palindrome (203011242110302).

The spelling of 201010220100200 in words is "two hundred one trillion, ten billion, two hundred twenty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 49 50 56 70 86 98 100 140 172 175 196 200 215 245 280 301 344 350 392 430 490 602 700 860 980 1075 1204 1225 1400 1505 1720 1960 2107 2150 2408 2450 3010 4214 4300 4900 6020 7525 8428 8600 9800 10535 12040 15050 16856 21070 30100 42140 52675 60200 84280 105350 210700 421400 477005743 954011486 1908022972 2385028715 3339040201 3816045944 4770057430 6678080402 9540114860 11925143575 13356160804 16695201005 19080229720 20511246949 23373281407 23850287150 26712321608 33390402010 41022493898 46746562814 47700574300 66780804020 82044987796 83476005025 93493125628 95401148600 102556234745 116866407035 133561608040 143578728643 164089975592 166952010050 186986251256 205112469490 233732814070 287157457286 333904020100 410224938980 467465628140 512781173725 574314914572 584332035175 667808040200 717893643215 820449877960 934931256280 1005051100501 1025562347450 1148629829144 1168664070350 1435787286430 2010102201002 2051124694900 2337328140700 2871574572860 3589468216075 4020204402004 4102249389800 4674656281400 5025255502505 5743149145720 7178936432150 8040408804008 10050511005010 14357872864300 20101022010020 25126277512525 28715745728600 40202044020040 50252555025050 100505110050100 201010220100200