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11022100002210 = 2351197641537181
BaseRepresentation
bin1010000001100100100001…
…0110101111010110100010
31110000200222002201010000210
42200121020112233112202
52421041230100032320
635235252143154550
72215214625123543
oct240311026572642
943020862633023
1011022100002210
11356a4a0118750
1212a01a6ba5a56
1361c4c1bba83b
142a16887084ca
15141a9b98d0e0
hexa06485af5a2

11022100002210 has 128 divisors (see below), whose sum is σ = 29200904103168. Its totient is φ = 2640347136000.

The previous prime is 11022100002197. The next prime is 11022100002223. The reversal of 11022100002210 is 1220000122011.

It is an interprime number because it is at equal distance from previous prime (11022100002197) and next prime (11022100002223).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20249820 + ... + 20787000.

It is an arithmetic number, because the mean of its divisors is an integer number (228132063306).

Almost surely, 211022100002210 is an apocalyptic number.

11022100002210 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 11022100002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14600452051584).

11022100002210 is an abundant number, since it is smaller than the sum of its proper divisors (18178804100958).

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

11022100002210 is a wasteful number, since it uses less digits than its factorization.

11022100002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537940.

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

Adding to 11022100002210 its reverse (1220000122011), we get a palindrome (12242100124221).

The spelling of 11022100002210 in words is "eleven trillion, twenty-two billion, one hundred million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 485 582 641 970 1067 1282 1455 1923 2134 2910 3201 3205 3846 5335 6402 6410 7051 9615 10670 14102 16005 19230 21153 32010 35255 42306 62177 70510 105765 124354 186531 211530 310885 373062 537181 621770 683947 932655 1074362 1367894 1611543 1865310 2051841 2685905 3223086 3419735 4103682 5371810 5908991 6839470 8057715 10259205 11817982 16115430 17726973 20518410 29544955 35453946 52106557 59089910 88634865 104213114 156319671 177269730 260532785 312639342 344333021 521065570 573172127 688666042 781598355 1032999063 1146344254 1563196710 1719516381 1721665105 2065998126 2865860635 3439032762 3443330210 3787663231 5164995315 5731721270 7575326462 8597581905 10329990630 11362989693 17195163810 18938316155 22725979386 33400303037 37876632310 56814948465 66800606074 100200909111 113629896930 167001515185 200401818222 334003030370 367403333407 501004545555 734806666814 1002009091110 1102210000221 1837016667035 2204420000442 3674033334070 5511050001105 11022100002210