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11354102120 = 2351741407249
BaseRepresentation
bin10101001001100000…
…11101100101101000
31002022021202011000202
422210300131211220
5141223122231440
65114353451332
7551236163354
oct124460354550
932267664022
1011354102120
1148a7104a79
12224a570b48
1310bc3b8a2a
14799d28464
15466bd8615
hex2a4c1d968

11354102120 has 64 divisors (see below), whose sum is σ = 27709290000. Its totient is φ = 4170219520.

The previous prime is 11354102119. The next prime is 11354102143. The reversal of 11354102120 is 2120145311.

It can be written as a sum of positive squares in 8 ways, for example, as 1936176004 + 9417926116 = 44002^2 + 97046^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11354102092 and 11354102101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175745 + ... + 231504.

Almost surely, 211354102120 is an apocalyptic number.

11354102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11354102120 is an abundant number, since it is smaller than the sum of its proper divisors (16355187880).

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

11354102120 is a wasteful number, since it uses less digits than its factorization.

11354102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407318 (or 407314 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11354102120 its reverse (2120145311), we get a palindrome (13474247431).

The spelling of 11354102120 in words is "eleven billion, three hundred fifty-four million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2788 3485 5576 6970 13940 27880 407249 814498 1628996 2036245 3257992 4072490 6923233 8144980 13846466 16289960 16697209 27692932 33394418 34616165 55385864 66788836 69232330 83486045 133577672 138464660 166972090 276929320 283852553 333944180 567705106 667888360 1135410212 1419262765 2270820424 2838525530 5677051060 11354102120