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10200422111004 = 22325914273365423
BaseRepresentation
bin1001010001101111100010…
…0010010101011100011100
31100010011001221210101202200
42110123320202111130130
52314110431030023004
633410001554251500
72101645653233526
oct224337042253434
940104057711680
1010200422111004
113282a7a3a2494
121188ab0886b90
1358cb84a5b208
142739bb2cca16
1512a50a497239
hex946f889571c

10200422111004 has 72 divisors (see below), whose sum is σ = 26239807077120. Its totient is φ = 3340167873312.

The previous prime is 10200422110909. The next prime is 10200422111057. The reversal of 10200422111004 is 40011122400201.

It is a super-2 number, since 2×102004221110042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1348237 + ... + 4713659.

It is an arithmetic number, because the mean of its divisors is an integer number (364441764960).

Almost surely, 210200422111004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200422111004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119903538560).

10200422111004 is an abundant number, since it is smaller than the sum of its proper divisors (16039384966116).

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

10200422111004 is a wasteful number, since it uses less digits than its factorization.

10200422111004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366919 (or 3366914 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10200422111004 its reverse (40011122400201), we get a palindrome (50211544511205).

The spelling of 10200422111004 in words is "ten trillion, two hundred billion, four hundred twenty-two million, one hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1427 2124 2854 4281 5708 8562 12843 17124 25686 51372 84193 168386 252579 336772 505158 757737 1010316 1515474 3030948 3365423 6730846 10096269 13461692 20192538 30288807 40385076 60577614 121155228 198559957 397119914 595679871 794239828 1191359742 1787039613 2382719484 3574079226 4802458621 7148158452 9604917242 14407375863 19209834484 28814751726 43222127589 57629503452 86444255178 172888510356 283345058639 566690117278 850035175917 1133380234556 1700070351834 2550105527751 3400140703668 5100211055502 10200422111004