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2201105656520 = 235437119791493
BaseRepresentation
bin100000000001111100000…
…111101110101011001000
321210102102211121201001222
4200001330013232223020
5242030331022002040
64403101325101212
7315011310244331
oct40017407565310
97712384551058
102201105656520
11779535840101
122b67099b7808
1312c742964a74
1478769743288
153c3c8553bb5
hex2007c1eeac8

2201105656520 has 128 divisors (see below), whose sum is σ = 5165180317440. Its totient is φ = 843541601280.

The previous prime is 2201105656501. The next prime is 2201105656531. The reversal of 2201105656520 is 256565011022.

It is a super-2 number, since 2×22011056565202 (a number of 25 digits) contains 22 as substring.

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, 24011894 + ... + 24103386.

It is an arithmetic number, because the mean of its divisors is an integer number (40352971230).

Almost surely, 22201105656520 is an apocalyptic number.

2201105656520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201105656520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582590158720).

2201105656520 is an abundant number, since it is smaller than the sum of its proper divisors (2964074660920).

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

2201105656520 is a wasteful number, since it uses less digits than its factorization.

2201105656520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91815 (or 91811 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 2201105656520 in words is "two trillion, two hundred one billion, one hundred five million, six hundred fifty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 71 86 142 172 197 215 284 344 355 394 430 568 710 788 860 985 1420 1576 1720 1970 2840 3053 3940 6106 7880 8471 12212 13987 15265 16942 24424 27974 30530 33884 42355 55948 61060 67768 69935 84710 91493 111896 122120 139870 169420 182986 279740 338840 365972 457465 559480 601441 731944 914930 1202882 1829860 2405764 3007205 3659720 3934199 4811528 6014410 6496003 7868398 12028820 12992006 15736796 18024121 19670995 24057640 25984012 31473592 32480015 36048242 39341990 51968024 64960030 72096484 78683980 90120605 129920060 144192968 157367960 180241210 259840120 279328129 360482420 558656258 720964840 775037203 1117312516 1279712591 1396640645 1550074406 2234625032 2559425182 2793281290 3100148812 3875186015 5118850364 5586562580 6200297624 6398562955 7750372030 10237700728 11173125160 12797125910 15500744060 25594251820 31001488120 51188503640 55027641413 110055282826 220110565652 275138207065 440221131304 550276414130 1100552828260 2201105656520