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2355123051120 = 243571511927769
BaseRepresentation
bin100010010001011000010…
…001011101101001110000
322100010222120112000022010
4202101120101131221300
5302041243000113440
65001532324242520
7332103100430310
oct42213021355160
98303876460263
102355123051120
11828890623284
12320531b40440
13141119616198
1481dba895440
15413deb92580
hex2245845da70

2355123051120 has 160 divisors (see below), whose sum is σ = 8349395604480. Its totient is φ = 537956997120.

The previous prime is 2355123051109. The next prime is 2355123051133. The reversal of 2355123051120 is 211503215532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2074596 + ... + 3002364.

It is an arithmetic number, because the mean of its divisors is an integer number (52183722528).

Almost surely, 22355123051120 is an apocalyptic number.

2355123051120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2355123051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174697802240).

2355123051120 is an abundant number, since it is smaller than the sum of its proper divisors (5994272553360).

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

2355123051120 is a wasteful number, since it uses less digits than its factorization.

2355123051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929303 (or 929297 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 2355123051120 its reverse (211503215532), we get a palindrome (2566626266652).

The spelling of 2355123051120 in words is "two trillion, three hundred fifty-five billion, one hundred twenty-three million, fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1511 1680 3022 4533 6044 7555 9066 10577 12088 15110 18132 21154 22665 24176 30220 31731 36264 42308 45330 52885 60440 63462 72528 84616 90660 105770 120880 126924 158655 169232 181320 211540 253848 317310 362640 423080 507696 634620 846160 927769 1269240 1855538 2538480 2783307 3711076 4638845 5566614 6494383 7422152 9277690 11133228 12988766 13916535 14844304 18555380 19483149 22266456 25977532 27833070 32471915 37110760 38966298 44532912 51955064 55666140 64943830 74221520 77932596 97415745 103910128 111332280 129887660 155865192 194831490 222664560 259775320 311730384 389662980 519550640 779325960 1401858959 1558651920 2803717918 4205576877 5607435836 7009294795 8411153754 9813012713 11214871672 14018589590 16822307508 19626025426 21027884385 22429743344 28037179180 29439038139 33644615016 39252050852 42055768770 49065063565 56074358360 58878076278 67289230032 78504101704 84111537540 98130127130 112148716720 117756152556 147195190695 157008203408 168223075080 196260254260 235512305112 294390381390 336446150160 392520508520 471024610224 588780762780 785041017040 1177561525560 2355123051120