Search a number
-
+
10221002200220 = 225773007158573
BaseRepresentation
bin1001010010111100001100…
…1101001001010010011100
31100012010012012212020211012
42110233003031021102130
52314430103030401340
633423244045114352
72103304651141610
oct224570315112234
940163165766735
1010221002200220
113290780310089
121190a94b589b8
13591ab467cab6
142749b0657340
1512ad120eb565
hex94bc334949c

10221002200220 has 24 divisors (see below), whose sum is σ = 24530405280864. Its totient is φ = 3504343611456.

The previous prime is 10221002200217. The next prime is 10221002200223. The reversal of 10221002200220 is 2200220012201.

It is an interprime number because it is at equal distance from previous prime (10221002200217) and next prime (10221002200223).

It is a super-3 number, since 3×102210022002203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10221002200195 and 10221002200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221002200223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36503579147 + ... + 36503579426.

It is an arithmetic number, because the mean of its divisors is an integer number (1022100220036).

Almost surely, 210221002200220 is an apocalyptic number.

10221002200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221002200220 is an abundant number, since it is smaller than the sum of its proper divisors (14309403080644).

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

10221002200220 is a wasteful number, since it uses less digits than its factorization.

10221002200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73007158589 (or 73007158587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10221002200220 its reverse (2200220012201), we get a palindrome (12421222212421).

The spelling of 10221002200220 in words is "ten trillion, two hundred twenty-one billion, two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 73007158573 146014317146 292028634292 365035792865 511050110011 730071585730 1022100220022 1460143171460 2044200440044 2555250550055 5110501100110 10221002200220