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10212002200220 = 22510935927194799
BaseRepresentation
bin1001010010011010101011…
…0000110111101010011100
31100011020221222202212210212
42110212222300313222130
52314303140030401340
633415155023551552
72102535635330552
oct224465260675234
940136858685725
1010212002200220
113287982019957
12118b1a2a5b5b8
13590cabbcc802
14274399241bd2
1512a986e1ea65
hex949aac37a9c

10212002200220 has 96 divisors (see below), whose sum is σ = 21714739200000. Its totient is φ = 4033726656768.

The previous prime is 10212002200177. The next prime is 10212002200313. The reversal of 10212002200220 is 2200220021201.

10212002200220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10212002200220 is a modest number, since divided by 2200220 gives 102120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10212002200195 and 10212002200204.

It is a congruent number.

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, 2127941381 + ... + 2127946179.

It is an arithmetic number, because the mean of its divisors is an integer number (226195200000).

Almost surely, 210212002200220 is an apocalyptic number.

10212002200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212002200220 is an abundant number, since it is smaller than the sum of its proper divisors (11502736999780).

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

10212002200220 is a wasteful number, since it uses less digits than its factorization.

10212002200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7995 (or 7993 counting only the distinct ones).

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

Adding to 10212002200220 its reverse (2200220021201), we get a palindrome (12412222221421).

The spelling of 10212002200220 in words is "ten trillion, two hundred twelve billion, two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 359 436 545 718 1090 1436 1795 2180 2719 3590 4799 5438 7180 9598 10876 13595 19196 23995 27190 39131 47990 54380 78262 95980 156524 195655 296371 391310 523091 592742 782620 976121 1046182 1185484 1481855 1722841 1952242 2092364 2615455 2963710 3445682 3904484 4880605 5230910 5927420 6891364 8614205 9761210 10461820 13048481 17228410 19522420 26096962 34456820 52193924 65242405 106397189 130484810 187789669 212794378 260969620 375579338 425588756 531985945 751158676 938948345 1063971890 1422284429 1877896690 2127943780 2844568858 3755793380 4684404679 5689137716 7111422145 9368809358 14222844290 18737618716 23422023395 28445688580 46844046790 93688093580 510600110011 1021200220022 2042400440044 2553000550055 5106001100110 10212002200220