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2201030103220 = 22513199377911257
BaseRepresentation
bin100000000001110111100…
…111100001000010110100
321210102020120110012102121
4200001313213201002310
5242030202201300340
64403050025445324
7315006402121324
oct40016747410264
97712216405377
102201030103220
117794a7126863
122b66a8640844
1312c730100680
147875d6b7284
153c3c1acc94a
hex200779e10b4

2201030103220 has 96 divisors (see below), whose sum is σ = 5004496224000. Its totient is φ = 808318393344.

The previous prime is 2201030103211. The next prime is 2201030103247. The reversal of 2201030103220 is 223010301022.

It is a junction number, because it is equal to n+sod(n) for n = 2201030103194 and 2201030103203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195519832 + ... + 195531088.

It is an arithmetic number, because the mean of its divisors is an integer number (52130169000).

Almost surely, 22201030103220 is an apocalyptic number.

2201030103220 is a gapful number since it is divisible by the number (20) 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 2201030103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502248112000).

2201030103220 is an abundant number, since it is smaller than the sum of its proper divisors (2803466120780).

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

2201030103220 is a wasteful number, since it uses less digits than its factorization.

2201030103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15257 (or 15255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2201030103220 its reverse (223010301022), we get a palindrome (2424040404242).

The spelling of 2201030103220 in words is "two trillion, two hundred one billion, thirty million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 199 260 398 796 995 1990 2587 3779 3980 5174 7558 10348 11257 12935 15116 18895 22514 25870 37790 45028 49127 51740 56285 75580 98254 112570 146341 196508 225140 245635 292682 491270 585364 731705 752021 982540 1463410 1504042 2240143 2926820 3008084 3760105 4480286 7520210 8960572 9776273 11200715 15040420 19552546 22401430 29121859 39105092 42540203 44802860 48881365 58243718 85080406 97762730 116487436 145609295 170160812 195525460 212701015 291218590 425402030 553022639 582437180 850804060 1106045278 2212090556 2765113195 5530226390 8465500397 11060452780 16931000794 33862001588 42327501985 84655003970 110051505161 169310007940 220103010322 440206020644 550257525805 1100515051610 2201030103220