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1322121202020 = 2232537198516697
BaseRepresentation
bin10011001111010100100…
…100001000100101100100
311200101121220021221121200
4103033110210020211210
5133130201011431040
62451212445442500
7164343252535623
oct23172444104544
94611556257550
101322121202020
1146a787a50733
1219429b870430
13978a20a44a8
1447dc34796ba
15245d0ee5630
hex133d4908964

1322121202020 has 72 divisors (see below), whose sum is σ = 4118824450104. Its totient is φ = 343036850688.

The previous prime is 1322121202009. The next prime is 1322121202049. The reversal of 1322121202020 is 202021212231.

1322121202020 is a `hidden beast` number, since 1 + 322 + 121 + 20 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 335929204836 + 986191997184 = 579594^2 + 993072^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1322121201984 and 1322121202002.

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 23 ways as a sum of consecutive naturals, for example, 99251689 + ... + 99265008.

Almost surely, 21322121202020 is an apocalyptic number.

1322121202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322121202020 is an abundant number, since it is smaller than the sum of its proper divisors (2796703248084).

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

1322121202020 is a wasteful number, since it uses less digits than its factorization.

1322121202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198516749 (or 198516744 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1322121202020 its reverse (202021212231), we get a palindrome (1524142414251).

The spelling of 1322121202020 in words is "one trillion, three hundred twenty-two billion, one hundred twenty-one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 198516697 397033394 595550091 794066788 992583485 1191100182 1786650273 1985166970 2382200364 2977750455 3573300546 3970333940 5955500910 7146601092 7345117789 8933251365 11911001820 14690235578 17866502730 22035353367 29380471156 35733005460 36725588945 44070706734 66106060101 73451177890 88141413468 110176766835 132212120202 146902355780 220353533670 264424240404 330530300505 440707067340 661060601010 1322121202020