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1133121505224 = 233678316975003
BaseRepresentation
bin10000011111010011010…
…011100000011111001000
311000022210012000120021110
4100133103103200133020
5122031113101131344
62224314314210320
7144602543606502
oct20372323403710
94008705016243
101133121505224
113a7610605105
121637341239a0
1382b11a87987
143cbb4306d72
151e71d6703b9
hex107d34e07c8

1133121505224 has 128 divisors (see below), whose sum is σ = 2912020554240. Its totient is φ = 367296940032.

The previous prime is 1133121505211. The next prime is 1133121505249. The reversal of 1133121505224 is 4225051213311.

It is a happy number.

It is a super-2 number, since 2×11331215052242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133121505191 and 1133121505200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226485907 + ... + 226490909.

It is an arithmetic number, because the mean of its divisors is an integer number (22750160580).

Almost surely, 21133121505224 is an apocalyptic number.

It is an amenable number.

1133121505224 is an abundant number, since it is smaller than the sum of its proper divisors (1778899049016).

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

1133121505224 is a wasteful number, since it uses less digits than its factorization.

1133121505224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6859 (or 6855 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1133121505224 its reverse (4225051213311), we get a palindrome (5358172718535).

The spelling of 1133121505224 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-one million, five hundred five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 67 83 134 166 201 249 268 332 402 498 536 664 804 996 1608 1697 1992 3394 5003 5091 5561 6788 10006 10182 11122 13576 15009 16683 20012 20364 22244 30018 33366 40024 40728 44488 60036 66732 113699 120072 133464 140851 227398 281702 335201 341097 415249 422553 454796 563404 670402 682194 830498 845106 909592 1005603 1126808 1245747 1340804 1364388 1660996 1690212 2011206 2491494 2681608 2728776 3321992 3380424 4022412 4982988 8044824 8490091 9437017 9965976 16980182 18874034 25470273 27821683 28311051 33960364 37748068 50940546 55643366 56622102 67920728 75496136 83465049 101881092 111286732 113244204 166930098 203762184 222573464 226488408 333860196 568836097 667720392 704677553 1137672194 1409355106 1706508291 2114032659 2275344388 2818710212 3413016582 4228065318 4550688776 5637420424 6826033164 8456130636 13652066328 16912261272 47213396051 94426792102 141640188153 188853584204 283280376306 377707168408 566560752612 1133121505224