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22200211110120 = 2335716074292683
BaseRepresentation
bin1010000110000111000111…
…01100100111100011101000
32220121022121212211112202120
411003003203230213203220
510402212013021010440
6115114345230031240
74450624632623241
oct503034354474350
986538555745676
1022200211110120
11708a06946019a
1225a6671948520
13c506178114b4
1456a6d2c63cc8
15287729ad8dd0
hex1430e3b278e8

22200211110120 has 128 divisors (see below), whose sum is σ = 67649952522240. Its totient is φ = 5827058254080.

The previous prime is 22200211110109. The next prime is 22200211110137. The reversal of 22200211110120 is 2101111200222.

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 22200211110120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3025299 + ... + 7317981.

It is an arithmetic number, because the mean of its divisors is an integer number (528515254080).

Almost surely, 222200211110120 is an apocalyptic number.

22200211110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200211110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33824976261120).

22200211110120 is an abundant number, since it is smaller than the sum of its proper divisors (45449741412120).

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

22200211110120 is a wasteful number, since it uses less digits than its factorization.

22200211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293375 (or 4293371 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22200211110120 its reverse (2101111200222), we get a palindrome (24301322310342).

The spelling of 22200211110120 in words is "twenty-two trillion, two hundred billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 607 710 852 1065 1214 1420 1704 1821 2130 2428 2840 3035 3642 4260 4856 6070 7284 8520 9105 12140 14568 18210 24280 36420 43097 72840 86194 129291 172388 215485 258582 344776 430970 517164 646455 861940 1034328 1292910 1723880 2585820 4292683 5171640 8585366 12878049 17170732 21463415 25756098 34341464 42926830 51512196 64390245 85853660 103024392 128780490 171707320 257560980 304780493 515121960 609560986 914341479 1219121972 1523902465 1828682958 2438243944 2605658581 3047804930 3657365916 4571707395 5211317162 6095609860 7314731832 7816975743 9143414790 10422634324 12191219720 13028292905 15633951486 18286829580 20845268648 26056585810 31267902972 36573659160 39084878715 52113171620 62535805944 78169757430 104226343240 156339514860 185001759251 312679029720 370003518502 555005277753 740007037004 925008796255 1110010555506 1480014074008 1850017592510 2220021111012 2775026388765 3700035185020 4440042222024 5550052777530 7400070370040 11100105555060 22200211110120