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155100120 = 23357296367
BaseRepresentation
bin10010011111010…
…10001111011000
3101210211220100220
421033222033120
5304201200440
623220200040
73562220640
oct1117521730
9353756326
10155100120
117a60601a
1243b39020
1326196426
1416855520
15d93a8d0
hex93ea3d8

155100120 has 128 divisors (see below), whose sum is σ = 550195200. Its totient is φ = 34223616.

The previous prime is 155100119. The next prime is 155100151. The reversal of 155100120 is 21001551.

155100120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 155100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21177 + ... + 27543.

It is an arithmetic number, because the mean of its divisors is an integer number (4298400).

Almost surely, 2155100120 is an apocalyptic number.

155100120 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 155100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275097600).

155100120 is an abundant number, since it is smaller than the sum of its proper divisors (395095080).

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

155100120 is a wasteful number, since it uses less digits than its factorization.

155100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 155100120 is about 12453.9198648458. The cubic root of 155100120 is about 537.2841693400.

Adding to 155100120 its reverse (21001551), we get a palindrome (176101671).

The spelling of 155100120 in words is "one hundred fifty-five million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 6367 8120 12180 12734 19101 24360 25468 31835 38202 44569 50936 63670 76404 89138 95505 127340 133707 152808 178276 184643 191010 222845 254680 267414 356552 369286 382020 445690 534828 553929 668535 738572 764040 891380 923215 1069656 1107858 1292501 1337070 1477144 1782760 1846430 2215716 2585002 2674140 2769645 3692860 3877503 4431432 5170004 5348280 5539290 6462505 7385720 7755006 10340008 11078580 12925010 15510012 19387515 22157160 25850020 31020024 38775030 51700040 77550060 155100120