Search a number
-
+
1020002211210 = 235375876072579
BaseRepresentation
bin11101101011111001101…
…11101001010110001010
310121111210201010000221110
432311330313221112022
5113202431031224320
62100325455151150
7133456414512423
oct16657467512612
93544721100843
101020002211210
11363642725264
121458248154b6
1375255268a88
1437522b4664a
151b7ec7bc5e0
hexed7cde958a

1020002211210 has 128 divisors (see below), whose sum is σ = 2523577835520. Its totient is φ = 263660845824.

The previous prime is 1020002211187. The next prime is 1020002211259. The reversal of 1020002211210 is 121122000201.

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, 395501701 + ... + 395504279.

It is an arithmetic number, because the mean of its divisors is an integer number (19715451840).

Almost surely, 21020002211210 is an apocalyptic number.

1020002211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020002211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261788917760).

1020002211210 is an abundant number, since it is smaller than the sum of its proper divisors (1503575624310).

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

1020002211210 is a wasteful number, since it uses less digits than its factorization.

1020002211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020002211210 its reverse (121122000201), we get a palindrome (1141124211411).

The spelling of 1020002211210 in words is "one trillion, twenty billion, two million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 587 607 1110 1174 1214 1761 1821 2579 2935 3035 3522 3642 5158 5870 6070 7737 8805 9105 12895 15474 17610 18210 21719 22459 25790 38685 43438 44918 65157 67377 77370 95423 108595 112295 130314 134754 190846 217190 224590 286269 325785 336885 356309 477115 572538 651570 673770 712618 954230 1068927 1431345 1513873 1565453 1781545 2137854 2862690 3027746 3130906 3563090 4541619 4696359 5344635 7569365 7827265 9083238 9392718 10689270 13183433 15138730 15654530 22708095 23481795 26366866 39550299 45416190 46963590 56013301 57921761 65917165 79100598 112026602 115843522 131834330 168039903 173765283 197751495 280066505 289608805 336079806 347530566 395502990 560133010 579217610 840199515 868826415 918920911 1680399030 1737652830 1837841822 2756762733 4594604555 5513525466 9189209110 13783813665 27567627330 34000073707 68000147414 102000221121 170000368535 204000442242 340000737070 510001105605 1020002211210