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2100220122210 = 2357175147114299
BaseRepresentation
bin11110100011111110110…
…111111101010001100010
321102210000221200120010020
4132203332313331101202
5233402222322402320
64244454450014310
7304510261326210
oct36437667752142
97383027616106
102100220122210
1173a775562a71
1229b053577396
13123085855032
1473918c4dcb0
15399716e8940
hex1e8fedfd462

2100220122210 has 128 divisors (see below), whose sum is σ = 6100701235200. Its totient is φ = 451720326144.

The previous prime is 2100220122151. The next prime is 2100220122269. The reversal of 2100220122210 is 122210220012.

It is an interprime number because it is at equal distance from previous prime (2100220122151) and next prime (2100220122269).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100220122210.

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, 18317641 + ... + 18431939.

It is an arithmetic number, because the mean of its divisors is an integer number (47661728400).

Almost surely, 22100220122210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100220122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050350617600).

2100220122210 is an abundant number, since it is smaller than the sum of its proper divisors (4000481112990).

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

2100220122210 is a wasteful number, since it uses less digits than its factorization.

2100220122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119480.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2100220122210 its reverse (122210220012), we get a palindrome (2222430342222).

The spelling of 2100220122210 in words is "two trillion, one hundred billion, two hundred twenty million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 5147 10294 15441 25735 30882 36029 51470 72058 77205 87499 108087 114299 154410 174998 180145 216174 228598 262497 342897 360290 437495 524994 540435 571495 612493 685794 800093 874990 1080870 1142990 1224986 1312485 1600186 1714485 1837479 1943083 2400279 2624970 3062465 3428970 3674958 3886166 4000465 4800558 5829249 6124930 8000930 9187395 9715415 11658498 12001395 13601581 18374790 19430830 24002790 27203162 29146245 40804743 58292490 68007905 81609486 136015810 204023715 408047430 588296953 1176593906 1764890859 2941484765 3529781718 4118078671 5882969530 8236157342 8824454295 10001048201 12354236013 17648908590 20002096402 20590393355 24708472026 30003144603 41180786710 50005241005 60006289206 61771180065 70007337407 100010482010 123542360130 140014674814 150015723015 210022012221 300031446030 350036687035 420044024442 700073374070 1050110061105 2100220122210