Search a number
-
+
2115294631230 = 2351171145961879
BaseRepresentation
bin11110110010000001011…
…000101001010100111110
321111012221112000221222010
4132302001120221110332
5234124110411144410
64255430345032050
7305552654462124
oct36620130512476
97435845027863
102115294631230
11746100745790
122a1b5ba85626
1312461895b061
1474548d0b914
153a054d29c20
hex1ec8162953e

2115294631230 has 128 divisors (see below), whose sum is σ = 5620169318400. Its totient is φ = 505221494400.

The previous prime is 2115294631213. The next prime is 2115294631279. The reversal of 2115294631230 is 321364925112.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34153431 + ... + 34215309.

It is an arithmetic number, because the mean of its divisors is an integer number (43907572800).

Almost surely, 22115294631230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115294631230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810084659200).

2115294631230 is an abundant number, since it is smaller than the sum of its proper divisors (3504874687170).

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

2115294631230 is a wasteful number, since it uses less digits than its factorization.

2115294631230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63430.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 2115294631230 in words is "two trillion, one hundred fifteen billion, two hundred ninety-four million, six hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1459 1562 2130 2343 2918 3905 4377 4686 7295 7810 8754 11715 14590 16049 21885 23430 32098 43770 48147 61879 80245 96294 103589 123758 160490 185637 207178 240735 309395 310767 371274 481470 517945 618790 621534 680669 928185 1035890 1139479 1361338 1553835 1856370 2042007 2278958 3107670 3403345 3418437 4084014 4393409 5697395 6806690 6836874 8786818 10210035 11394790 13180227 17092185 20420070 21967045 26360454 34184370 43934090 48327499 65901135 90281461 96654998 131802270 144982497 180562922 241637495 270844383 289964994 451407305 483274990 541688766 724912485 902814610 993096071 1354221915 1449824970 1986192142 2708443830 2979288213 4965480355 5958576426 6409983731 9930960710 12819967462 14896441065 19229951193 29792882130 32049918655 38459902386 64099837310 70509821041 96149755965 141019642082 192299511930 211529463123 352549105205 423058926246 705098210410 1057647315615 2115294631230