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133105131154404 = 223219429190301341
BaseRepresentation
bin11110010000111011110100…
…000011110110101111100100
3122110021201121110002120001100
4132100323310003312233210
5114421243302033420104
61151031353023000100
740015346143061103
oct3620736403665744
9573251543076040
10133105131154404
1139458629547282
1212b187bb139030
1359369b5984456
1424c247379803a
15105c583739139
hex790ef40f6be4

133105131154404 has 36 divisors (see below), whose sum is σ = 336477511830460. Its totient is φ = 44366093202240.

The previous prime is 133105131154379. The next prime is 133105131154421. The reversal of 133105131154404 is 404451131501331.

It is a happy number.

133105131154404 is a `hidden beast` number, since 1 + 3 + 3 + 105 + 1 + 3 + 1 + 1 + 544 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11501580394404 + 121603550760000 = 3391398^2 + 11027400^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94451227 + ... + 95850114.

Almost surely, 2133105131154404 is an apocalyptic number.

It is an amenable number.

133105131154404 is an abundant number, since it is smaller than the sum of its proper divisors (203372380676056).

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

133105131154404 is a wasteful number, since it uses less digits than its factorization.

133105131154404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190320780 (or 190320775 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 133105131154404 its reverse (404451131501331), we get a palindrome (537556262655735).

The spelling of 133105131154404 in words is "one hundred thirty-three trillion, one hundred five billion, one hundred thirty-one million, one hundred fifty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 19429 38858 58287 77716 116574 174861 233148 349722 699444 190301341 380602682 570904023 761205364 1141808046 1712712069 2283616092 3425424138 6850848276 3697364754289 7394729508578 11092094262867 14789459017156 22184188525734 33276282788601 44368377051468 66552565577202 133105131154404