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2030124900 = 2235223319491
BaseRepresentation
bin111100100000001…
…0011111101100100
312020111001000211010
41321000103331210
513124202444100
6533240342220
7101210530326
oct17100237544
95214030733
102030124900
11951a52981
12487a74970
1326479414b
1415389b616
15bd363750
hex79013f64

2030124900 has 144 divisors (see below), whose sum is σ = 6327595008. Its totient is φ = 501072000.

The previous prime is 2030124893. The next prime is 2030124907. The reversal of 2030124900 is 94210302.

It is an interprime number because it is at equal distance from previous prime (2030124893) and next prime (2030124907).

It is not an unprimeable number, because it can be changed into a prime (2030124907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209155 + ... + 218645.

It is an arithmetic number, because the mean of its divisors is an integer number (43941632).

Almost surely, 22030124900 is an apocalyptic number.

2030124900 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 2030124900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163797504).

2030124900 is an abundant number, since it is smaller than the sum of its proper divisors (4297470108).

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

2030124900 is a wasteful number, since it uses less digits than its factorization.

2030124900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562 (or 9555 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2030124900 is about 45056.9073505939. The cubic root of 2030124900 is about 1266.2153847910.

The spelling of 2030124900 in words is "two billion, thirty million, one hundred twenty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 31 46 50 60 62 69 75 92 93 100 115 124 138 150 155 186 230 276 300 310 345 372 460 465 575 620 690 713 775 930 1150 1380 1426 1550 1725 1860 2139 2300 2325 2852 3100 3450 3565 4278 4650 6900 7130 8556 9300 9491 10695 14260 17825 18982 21390 28473 35650 37964 42780 47455 53475 56946 71300 94910 106950 113892 142365 189820 213900 218293 237275 284730 294221 436586 474550 569460 588442 654879 711825 873172 882663 949100 1091465 1176884 1309758 1423650 1471105 1765326 2182930 2619516 2847300 2942210 3274395 3530652 4365860 4413315 5457325 5884420 6548790 6767083 7355525 8826630 10914650 13097580 13534166 14711050 16371975 17653260 20301249 21829300 22066575 27068332 29422100 32743950 33835415 40602498 44133150 65487900 67670830 81204996 88266300 101506245 135341660 169177075 203012490 338354150 406024980 507531225 676708300 1015062450 2030124900