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2157115100 = 225279731769
BaseRepresentation
bin1000000010010010…
…1111011011011100
312120022222210121212
42000210233123130
513404210140400
6554014243552
7104312114210
oct20044573334
95508883555
102157115100
11a076a9558
125024b65b8
13284b9798a
141666b6940
15c959a335
hex8092f6dc

2157115100 has 72 divisors (see below), whose sum is σ = 5404966560. Its totient is φ = 731934720.

The previous prime is 2157114959. The next prime is 2157115109. The reversal of 2157115100 is 15117512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157115109) 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, 52016 + ... + 83784.

It is an arithmetic number, because the mean of its divisors is an integer number (75068980).

Almost surely, 22157115100 is an apocalyptic number.

2157115100 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 2157115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702483280).

2157115100 is an abundant number, since it is smaller than the sum of its proper divisors (3247851460).

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

2157115100 is a wasteful number, since it uses less digits than its factorization.

2157115100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31887 (or 31880 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 23.

The square root of 2157115100 is about 46444.7532020572. The cubic root of 2157115100 is about 1292.0850642265.

The spelling of 2157115100 in words is "two billion, one hundred fifty-seven million, one hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1358 1940 2425 2716 3395 4850 6790 9700 13580 16975 31769 33950 63538 67900 127076 158845 222383 317690 444766 635380 794225 889532 1111915 1588450 2223830 3081593 3176900 4447660 5559575 6163186 11119150 12326372 15407965 21571151 22238300 30815930 43142302 61631860 77039825 86284604 107855755 154079650 215711510 308159300 431423020 539278775 1078557550 2157115100