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2130023120 = 245197191949
BaseRepresentation
bin111111011110101…
…1001001011010000
312111110000101102012
41332331121023100
513330241214440
6551205442052
7103532616641
oct17675311320
95443011365
102130023120
119a3384995
124b5410328
1327c3a0514
14162c636c8
15c6ee7e65
hex7ef592d0

2130023120 has 80 divisors (see below), whose sum is σ = 5222880000. Its totient is φ = 805630464.

The previous prime is 2130023099. The next prime is 2130023149. The reversal of 2130023120 is 213200312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2130023095 and 2130023104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091906 + ... + 1093854.

It is an arithmetic number, because the mean of its divisors is an integer number (65286000).

Almost surely, 22130023120 is an apocalyptic number.

2130023120 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 2130023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611440000).

2130023120 is an abundant number, since it is smaller than the sum of its proper divisors (3092856880).

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

2130023120 is a wasteful number, since it uses less digits than its factorization.

2130023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2130023120 is about 46152.1735132810. The cubic root of 2130023120 is about 1286.6530064980.

Adding to 2130023120 its reverse (213200312), we get a palindrome (2343223432).

The spelling of 2130023120 in words is "two billion, one hundred thirty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 719 760 1438 1520 1949 2876 3595 3898 5752 7190 7796 9745 11504 13661 14380 15592 19490 27322 28760 31184 37031 38980 54644 57520 68305 74062 77960 109288 136610 148124 155920 185155 218576 273220 296248 370310 546440 592496 740620 1092880 1401331 1481240 2802662 2962480 5605324 7006655 11210648 14013310 22421296 26625289 28026620 53250578 56053240 106501156 112106480 133126445 213002312 266252890 426004624 532505780 1065011560 2130023120