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10202121222020 = 22571325032239537
BaseRepresentation
bin1001010001110101110111…
…0011111011011110000100
31100010022110100222011220022
42110131131303323132010
52314122421013101040
633410442332154312
72102036034364130
oct224353563733604
940108410864808
1010202121222020
113283771508772
1211892a5908998
13590095a85c50
14273adcc223c0
1512a5a97226b5
hex9475dcfb784

10202121222020 has 96 divisors (see below), whose sum is σ = 26379106027008. Its totient is φ = 3227511785472.

The previous prime is 10202121221989. The next prime is 10202121222043. The reversal of 10202121222020 is 2022212120201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202121222020.

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, 3435692 + ... + 5675228.

It is an arithmetic number, because the mean of its divisors is an integer number (274782354448).

Almost surely, 210202121222020 is an apocalyptic number.

10202121222020 is a gapful number since it is divisible by the number (10) 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 10202121222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13189553013504).

10202121222020 is an abundant number, since it is smaller than the sum of its proper divisors (16176984804988).

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

10202121222020 is a wasteful number, since it uses less digits than its factorization.

10202121222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242069 (or 2242067 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10202121222020 its reverse (2022212120201), we get a palindrome (12224333342221).

The spelling of 10202121222020 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2503 5006 10012 12515 17521 25030 32539 35042 50060 65078 70084 87605 130156 162695 175210 227773 325390 350420 455546 650780 911092 1138865 2239537 2277730 4479074 4555460 8958148 11197685 15676759 22395370 29113981 31353518 44790740 58227962 62707036 78383795 116455924 145569905 156767590 203797867 291139810 313535180 407595734 582279620 815191468 1018989335 2037978670 4075957340 5605561111 11211122222 22422244444 28027805555 39238927777 56055611110 72872294443 78477855554 112111222220 145744588886 156955711108 196194638885 291489177772 364361472215 392389277770 510106061101 728722944430 784778555540 1020212122202 1457445888860 2040424244404 2550530305505 5101060611010 10202121222020