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135223224120 = 2334541735563
BaseRepresentation
bin111110111101111101…
…1101010011100111000
3110221000221100112010000
41331323323222130320
54203414121132440
6142042022553000
712524646304005
oct1757373523470
9427027315100
10135223224120
1152390a91786
1222259b98760
13c9a005c4aa
14678b0768ac
1537b66b0730
hex1f7beea738

135223224120 has 80 divisors (see below), whose sum is σ = 454500291960. Its totient is φ = 36059525568.

The previous prime is 135223224107. The next prime is 135223224137. The reversal of 135223224120 is 21422322531.

135223224120 is a `hidden beast` number, since 1 + 3 + 5 + 223 + 22 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20864542 + ... + 20871021.

Almost surely, 2135223224120 is an apocalyptic number.

135223224120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135223224120 is an abundant number, since it is smaller than the sum of its proper divisors (319277067840).

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

135223224120 is a wasteful number, since it uses less digits than its factorization.

135223224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41735586 (or 41735573 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 135223224120 its reverse (21422322531), we get a palindrome (156645546651).

The spelling of 135223224120 in words is "one hundred thirty-five billion, two hundred twenty-three million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 41735563 83471126 125206689 166942252 208677815 250413378 333884504 375620067 417355630 500826756 626033445 751240134 834711260 1001653512 1126860201 1252066890 1502480268 1669422520 1878100335 2253720402 2504133780 3004960536 3380580603 3756200670 4507440804 5008267560 5634301005 6761161206 7512401340 9014881608 11268602010 13522322412 15024802680 16902903015 22537204020 27044644824 33805806030 45074408040 67611612060 135223224120