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2125969300 = 2252713217971
BaseRepresentation
bin111111010110111…
…1011011110010100
312111011101102121201
41332231323132110
513323222004200
6550542522244
7103453304140
oct17655733624
95434342551
102125969300
119a1066224
124b3b96384
1327b5b1300
141624ca220
15c6996c6a
hex7eb7b794

2125969300 has 108 divisors (see below), whose sum is σ = 5709488736. Its totient is φ = 672796800.

The previous prime is 2125969213. The next prime is 2125969303. The reversal of 2125969300 is 39695212.

It is a self number, because there is not a number n which added to its sum of digits gives 2125969300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125969303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109315 + ... + 127285.

Almost surely, 22125969300 is an apocalyptic number.

2125969300 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 2125969300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854744368).

2125969300 is an abundant number, since it is smaller than the sum of its proper divisors (3583519436).

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

2125969300 is a wasteful number, since it uses less digits than its factorization.

2125969300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18018 (or 17998 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 2125969300 is about 46108.2346224620. The cubic root of 2125969300 is about 1285.8362435164.

The spelling of 2125969300 in words is "two billion, one hundred twenty-five million, nine hundred sixty-nine thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 169 175 182 260 325 338 350 364 455 650 676 700 845 910 1183 1300 1690 1820 2275 2366 3380 4225 4550 4732 5915 8450 9100 11830 16900 17971 23660 29575 35942 59150 71884 89855 118300 125797 179710 233623 251594 359420 449275 467246 503188 628985 898550 934492 1168115 1257970 1635361 1797100 2336230 2515940 3037099 3144925 3270722 4672460 5840575 6074198 6289850 6541444 8176805 11681150 12148396 12579700 15185495 16353610 21259693 23362300 30370990 32707220 40884025 42519386 60741980 75927475 81768050 85038772 106298465 151854950 163536100 212596930 303709900 425193860 531492325 1062984650 2125969300