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10202201120220 = 2235172588362233
BaseRepresentation
bin1001010001110110001010…
…0100101101110111011100
31100010022122221022102121220
42110131202210231313130
52314123101441321340
633410454304453340
72102041024454364
oct224354244556734
940108587272556
1010202201120220
11328380261a43a
12118930861a250
135900a94abba5
14273b0969d9a4
1512a5b1755ed0
hex9476292dddc

10202201120220 has 72 divisors (see below), whose sum is σ = 30345370580784. Its totient is φ = 2560552433664.

The previous prime is 10202201120219. The next prime is 10202201120257. The reversal of 10202201120220 is 2202110220201.

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 10202201120220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294163777 + ... + 294198456.

Almost surely, 210202201120220 is an apocalyptic number.

10202201120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202201120220 is an abundant number, since it is smaller than the sum of its proper divisors (20143169460564).

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

10202201120220 is a wasteful number, since it uses less digits than its factorization.

10202201120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588362279 (or 588362260 counting only the distinct ones).

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

Adding to 10202201120220 its reverse (2202110220201), we get a palindrome (12404311340421).

It can be divided in two parts, 1020 and 2201120220, that multiplied together give a square (2245142624400 = 14983802).

The spelling of 10202201120220 in words is "ten trillion, two hundred two billion, two hundred one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 17340 588362233 1176724466 1765086699 2353448932 2941811165 3530173398 5883622330 7060346796 8825433495 10002157961 11767244660 17650866990 20004315922 30006473883 35301733980 40008631844 50010789805 60012947766 100021579610 120025895532 150032369415 170036685337 200043159220 300064738830 340073370674 510110056011 600129477660 680146741348 850183426685 1020220112022 1700366853370 2040440224044 2550550280055 3400733706740 5101100560110 10202201120220