Search a number
-
+
2421210031100 = 2252719732493779
BaseRepresentation
bin100011001110111011010…
…111010010001111111100
322120110120021211102211022
4203032323113102033330
5304132114231443400
65052142153443312
7336632561460320
oct43167327221774
98513507742738
102421210031100
11853913a3a503
123312b6410538
1314741c174573
1485289919980
1542eab9aeb85
hex233bb5d23fc

2421210031100 has 144 divisors (see below), whose sum is σ = 6407219078400. Its totient is φ = 775664709120.

The previous prime is 2421210031087. The next prime is 2421210031127. The reversal of 2421210031100 is 11300121242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275990 + ... + 2217789.

Almost surely, 22421210031100 is an apocalyptic number.

2421210031100 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 2421210031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203609539200).

2421210031100 is an abundant number, since it is smaller than the sum of its proper divisors (3986009047300).

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

2421210031100 is a wasteful number, since it uses less digits than its factorization.

2421210031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493892 (or 2493885 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2421210031100 its reverse (11300121242), we get a palindrome (2432510152342).

The spelling of 2421210031100 in words is "two trillion, four hundred twenty-one billion, two hundred ten million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 73 76 95 100 133 140 146 175 190 266 292 350 365 380 475 511 532 665 700 730 950 1022 1330 1387 1460 1825 1900 2044 2555 2660 2774 3325 3650 5110 5548 6650 6935 7300 9709 10220 12775 13300 13870 19418 25550 27740 34675 38836 48545 51100 69350 97090 138700 194180 242725 485450 970900 2493779 4987558 9975116 12468895 17456453 24937790 34912906 47381801 49875580 62344475 69825812 87282265 94763602 124688950 174564530 182045867 189527204 236909005 249377900 331672607 349129060 364091734 436411325 473818010 663345214 728183468 872822650 910229335 947636020 1184545025 1274321069 1326690428 1658363035 1745645300 1820458670 2369090050 2548642138 3316726070 3458871473 3640917340 4551146675 4738180100 5097284276 6371605345 6633452140 6917742946 8291815175 9102293350 12743210690 13835485892 16583630350 17294357365 18204586700 24212100311 25486421380 31858026725 33167260700 34588714730 48424200622 63716053450 69177429460 86471786825 96848401244 121060501555 127432106900 172943573650 242121003110 345887147300 484242006220 605302507775 1210605015550 2421210031100