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10211122200020 = 22572174314253779
BaseRepresentation
bin1001010010010111011001…
…0011111011110111010100
31100011011200122220020110212
42110211312103323313110
52314244334240400040
633414531430304552
72102505061420400
oct224456623736724
940134618806425
1010211122200020
113287570307765
12118ab981b8158
13590b9b7b9431
14274314410100
1512a934a43d65
hex949764fbdd4

10211122200020 has 144 divisors (see below), whose sum is σ = 27025851061440. Its totient is φ = 3218389042176.

The previous prime is 10211122199987. The next prime is 10211122200053. The reversal of 10211122200020 is 2000222111201.

It is an interprime number because it is at equal distance from previous prime (10211122199987) and next prime (10211122200053).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10211122199968 and 10211122200004.

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, 6410510 + ... + 7843269.

It is an arithmetic number, because the mean of its divisors is an integer number (187679521260).

Almost surely, 210211122200020 is an apocalyptic number.

10211122200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211122200020 is an abundant number, since it is smaller than the sum of its proper divisors (16814728861420).

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

10211122200020 is a wasteful number, since it uses less digits than its factorization.

10211122200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253862 (or 14253853 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10211122200020 its reverse (2000222111201), we get a palindrome (12211344311221).

The spelling of 10211122200020 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 43 49 68 70 85 86 98 119 140 170 172 196 215 238 245 301 340 430 476 490 595 602 731 833 860 980 1190 1204 1462 1505 1666 2107 2380 2924 3010 3332 3655 4165 4214 5117 6020 7310 8330 8428 10234 10535 14620 16660 20468 21070 25585 35819 42140 51170 71638 102340 143276 179095 358190 716380 14253779 28507558 57015116 71268895 99776453 142537790 199552906 242314243 285075580 399105812 484628486 498882265 612912497 698435171 969256972 997764530 1211571215 1225824994 1396870342 1696199701 1995529060 2423142430 2451649988 2793740684 3064562485 3392399402 3492175855 4290387479 4846284860 6129124970 6784798804 6984351710 8480998505 8580774958 10419512449 11873397907 12258249940 13968703420 16961997010 17161549916 20839024898 21451937395 23746795814 30032712353 33923994020 41678049796 42903874790 47493591628 52097562245 59366989535 60065424706 72936587143 85807749580 104195124490 118733979070 120130849412 145873174286 150163561765 208390248980 237467958140 291746348572 300327123530 364682935715 510556110001 600654247060 729365871430 1021112220002 1458731742860 2042224440004 2552780550005 5105561100010 10211122200020