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2155045100 = 2252132957163
BaseRepresentation
bin1000000001110011…
…0110000011101100
312120012002122010012
42000130312003230
513403142420400
6553502032352
7104255403215
oct20034660354
95505078105
102155045100
11a0651530a
125018786b8
13284621720
141662d840c
15c92dbd35
hex807360ec

2155045100 has 72 divisors (see below), whose sum is σ = 5209926960. Its totient is φ = 768257280.

The previous prime is 2155045097. The next prime is 2155045111. The reversal of 2155045100 is 15405512.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9119 + ... + 66281.

Almost surely, 22155045100 is an apocalyptic number.

2155045100 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 2155045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604963480).

2155045100 is an abundant number, since it is smaller than the sum of its proper divisors (3054881860).

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

2155045100 is a wasteful number, since it uses less digits than its factorization.

2155045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57219 (or 57212 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 2155045100 is about 46422.4633124956. The cubic root of 2155045100 is about 1291.6716305509.

The spelling of 2155045100 in words is "two billion, one hundred fifty-five million, forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 1300 1450 1508 1885 2900 3770 7540 9425 18850 37700 57163 114326 228652 285815 571630 743119 1143260 1429075 1486238 1657727 2858150 2972476 3315454 3715595 5716300 6630908 7431190 8288635 14862380 16577270 18577975 21550451 33154540 37155950 41443175 43100902 74311900 82886350 86201804 107752255 165772700 215504510 431009020 538761275 1077522550 2155045100