Search a number
-
+
155112100 = 2252111310847
BaseRepresentation
bin10010011111011…
…01001010100100
3101210212111210121
421033231022210
5304202041400
623220331324
73562300603
oct1117551244
9353774717
10155112100
117a614020
1243b43b44
132619ba10
1416859a3a
15d93e21a
hex93ed2a4

155112100 has 72 divisors (see below), whose sum is σ = 395474688. Its totient is φ = 52060800.

The previous prime is 155112091. The next prime is 155112107. The reversal of 155112100 is 1211551.

155112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (155112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8877 + ... + 19723.

It is an arithmetic number, because the mean of its divisors is an integer number (5492704).

Almost surely, 2155112100 is an apocalyptic number.

155112100 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 155112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197737344).

155112100 is an abundant number, since it is smaller than the sum of its proper divisors (240362588).

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

155112100 is a wasteful number, since it uses less digits than its factorization.

155112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 155112100 is about 12454.4008286228. The cubic root of 155112100 is about 537.2980023373.

Adding to 155112100 its reverse (1211551), we get a palindrome (156323651).

It can be divided in two parts, 15 and 5112100, that added together give a palindrome (5112115).

The spelling of 155112100 in words is "one hundred fifty-five million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 10847 14300 21694 43388 54235 108470 119317 141011 216940 238634 271175 282022 477268 542350 564044 596585 705055 1084700 1193170 1410110 1551121 2386340 2820220 2982925 3102242 3525275 5965850 6204484 7050550 7755605 11931700 14101100 15511210 31022420 38778025 77556050 155112100