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1222103230100 = 2252172197321433
BaseRepresentation
bin10001110010001011000…
…001110110011010010100
311022211110110211112112022
4101302023001312122110
5130010331411330400
62333232041312312
7154202600026064
oct21621301663224
94284413745468
101222103230100
11431322460005
12178a27a95698
138b32294179c
1443215c9b3a4
1521bca40ab85
hex11c8b076694

1222103230100 has 108 divisors (see below), whose sum is σ = 2818697589204. Its totient is φ = 459831275520.

The previous prime is 1222103230087. The next prime is 1222103230123. The reversal of 1222103230100 is 10323012221.

It can be written as a sum of positive squares in 18 ways, for example, as 904226024464 + 317877205636 = 950908^2 + 563806^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57008984 + ... + 57030416.

Almost surely, 21222103230100 is an apocalyptic number.

1222103230100 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 1222103230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409348794602).

1222103230100 is an abundant number, since it is smaller than the sum of its proper divisors (1596594359104).

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

1222103230100 is a wasteful number, since it uses less digits than its factorization.

1222103230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23454 (or 23430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1222103230100 its reverse (10323012221), we get a palindrome (1232426242321).

The spelling of 1222103230100 in words is "one trillion, two hundred twenty-two billion, one hundred three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 1973 2890 3946 5780 7225 7892 9865 14450 19730 21433 28900 33541 39460 42866 49325 67082 85732 98650 107165 134164 167705 197300 214330 335410 364361 428660 535825 570197 670820 728722 838525 1071650 1140394 1457444 1677050 1821805 2143300 2280788 2850985 3354100 3643610 5701970 6194137 7287220 9109025 11403940 12388274 14254925 18218050 24776548 28509850 30970685 36436100 42287309 57019700 61941370 84574618 123882740 154853425 169149236 211436545 309706850 422873090 619413700 718884253 845746180 1057182725 1437768506 2114365450 2875537012 3594421265 4228730900 7188842530 12221032301 14377685060 17972106325 24442064602 35944212650 48884129204 61105161505 71888425300 122210323010 244420646020 305525807525 611051615050 1222103230100