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10300010222220 = 22351136172462197
BaseRepresentation
bin1001010111100010100001…
…1100110101001010001100
31100110200010102101121211020
42111320220130311022030
52322223410104102340
633523432005154140
72112102566223225
oct225705034651214
940420112347736
1010300010222220
113311234282434
1211a42646bb950
13599396125b84
1427874777224c
1512cdd84709d0
hex95e2873528c

10300010222220 has 96 divisors (see below), whose sum is σ = 29142417947328. Its totient is φ = 2717949222912.

The previous prime is 10300010222179. The next prime is 10300010222263. The reversal of 10300010222220 is 2222201000301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10300010222220.

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, 2952162 + ... + 5414358.

It is an arithmetic number, because the mean of its divisors is an integer number (303566853618).

Almost surely, 210300010222220 is an apocalyptic number.

10300010222220 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 10300010222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14571208973664).

10300010222220 is an abundant number, since it is smaller than the sum of its proper divisors (18842407725108).

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

10300010222220 is a wasteful number, since it uses less digits than its factorization.

10300010222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462939 (or 2462937 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10300010222220 its reverse (2222201000301), we get a palindrome (12522211222521).

The spelling of 10300010222220 in words is "ten trillion, three hundred billion, ten million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 617 678 1130 1234 1356 1695 1851 2260 2468 3085 3390 3702 6170 6780 7404 9255 12340 18510 37020 69721 139442 209163 278884 348605 418326 697210 836652 1045815 1394420 2091630 2462197 4183260 4924394 7386591 9848788 12310985 14773182 24621970 29546364 36932955 49243940 73865910 147731820 278228261 556456522 834684783 1112913044 1391141305 1519175549 1669369566 2782282610 3038351098 3338739132 4173423915 4557526647 5564565220 6076702196 7595877745 8346847830 9115053294 15191755490 16693695660 18230106588 22787633235 30383510980 45575266470 91150532940 171666837037 343333674074 515000511111 686667348148 858334185185 1030001022222 1716668370370 2060002044444 2575002555555 3433336740740 5150005111110 10300010222220