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1010121212322 = 2323710115016817
BaseRepresentation
bin11101011001011111110…
…10101000000110100010
310120120022002021021122200
432230233322220012202
5113022212012243242
62052013203114030
7132656513431455
oct16545772500642
93516262237580
101010121212322
1135a4320aa582
12143927672916
137433c115981
1436c6671d49c
151b4200b904c
hexeb2fea81a2

1010121212322 has 48 divisors (see below), whose sum is σ = 2270002276152. Its totient is φ = 324363225600.

The previous prime is 1010121212273. The next prime is 1010121212339. The reversal of 1010121212322 is 2232121210101.

1010121212322 is a `hidden beast` number, since 1 + 0 + 10 + 121 + 212 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 925365117681 + 84756094641 = 961959^2 + 291129^2 .

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 = 1010121212295 and 1010121212304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7441143 + ... + 7575674.

Almost surely, 21010121212322 is an apocalyptic number.

1010121212322 is an abundant number, since it is smaller than the sum of its proper divisors (1259881063830).

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

1010121212322 is a wasteful number, since it uses less digits than its factorization.

1010121212322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016963 (or 15016960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1010121212322 its reverse (2232121210101), we get a palindrome (3242242422423).

The spelling of 1010121212322 in words is "one trillion, ten billion, one hundred twenty-one million, two hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 3737 7474 11211 22422 33633 67266 15016817 30033634 45050451 90100902 135151353 270302706 555622229 1111244458 1516698517 1666866687 3033397034 3333733374 4550095551 5000600061 9100191102 10001200122 13650286653 27300573306 56117845129 112235690258 168353535387 336707070774 505060606161 1010121212322