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155155142703100 = 225223532297554117
BaseRepresentation
bin100011010001110011011111…
…001010100111011111111100
3202100100200112122221211010111
4203101303133022213133330
5130314030213012444400
61305553142155115404
744452406034553351
oct4321633712473774
9670320478854114
10155155142703100
1145489a21195921
121549a133442b64
1368760b47839c7
142a45798560628
1512e0e1be743ba
hex8d1cdf2a77fc

155155142703100 has 144 divisors (see below), whose sum is σ = 358110469338048. Its totient is φ = 58218175375360.

The previous prime is 155155142703037. The next prime is 155155142703101. The reversal of 155155142703100 is 1307241551551.

It is a super-2 number, since 2×1551551427031002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155155142703101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279727242 + ... + 280281358.

It is an arithmetic number, because the mean of its divisors is an integer number (2486878259292).

Almost surely, 2155155142703100 is an apocalyptic number.

155155142703100 is a gapful number since it is divisible by the number (10) 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 155155142703100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179055234669024).

155155142703100 is an abundant number, since it is smaller than the sum of its proper divisors (202955326634948).

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

155155142703100 is a wasteful number, since it uses less digits than its factorization.

155155142703100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556504 (or 556497 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 40.

The spelling of 155155142703100 in words is "one hundred fifty-five trillion, one hundred fifty-five billion, one hundred forty-two million, seven hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 212 230 265 460 530 575 1060 1150 1219 1325 2297 2300 2438 2650 4594 4876 5300 6095 9188 11485 12190 22970 24380 30475 45940 52831 57425 60950 105662 114850 121741 121900 211324 229700 243482 264155 486964 528310 554117 608705 1056620 1108234 1217410 1320775 2216468 2434820 2641550 2770585 2800043 3043525 5283100 5541170 5600086 6087050 11082340 11200172 12174100 12744691 13852925 14000215 25489382 27705850 28000430 29368201 50978764 55411700 56000860 58736402 63723455 70001075 117472804 127446910 140002150 146841005 254893820 280004300 293682010 318617275 587364020 637234550 675468623 734205025 1272806749 1274469100 1350937246 1468410050 2545613498 2701874492 2936820100 3377343115 5091226996 6364033745 6754686230 12728067490 13509372460 16886715575 25456134980 29274555227 31820168725 33773431150 58549110454 63640337450 67458757697 67546862300 117098220908 127280674900 134917515394 146372776135 269835030788 292745552270 337293788485 585491104540 674587576970 731863880675 1349175153940 1463727761350 1551551427031 1686468942425 2927455522700 3103102854062 3372937884850 6206205708124 6745875769700 7757757135155 15515514270310 31031028540620 38788785675775 77577571351550 155155142703100