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1222200000100 = 22524110127110891
BaseRepresentation
bin10001110010010000110…
…010111111111001100100
311022211201012220222000101
4101302100302333321210
5130011031200000400
62333245415353444
7154205153406262
oct21622062777144
94284635828011
101222200000100
11431372045812
12178a54382884
138b3399c4041
1443224a8b432
1521bd3b7356a
hex11c90cbfe64

1222200000100 has 144 divisors (see below), whose sum is σ = 2754138223872. Its totient is φ = 470448000000.

The previous prime is 1222200000089. The next prime is 1222200000103. The reversal of 1222200000100 is 10000022221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1222200000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112215655 + ... + 112226545.

It is an arithmetic number, because the mean of its divisors is an integer number (19125959888).

Almost surely, 21222200000100 is an apocalyptic number.

1222200000100 is a gapful number since it is divisible by the number (10) 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 1222200000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377069111936).

1222200000100 is an abundant number, since it is smaller than the sum of its proper divisors (1531938223772).

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

1222200000100 is a wasteful number, since it uses less digits than its factorization.

1222200000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1222200000100 its reverse (10000022221), we get a palindrome (1232200022321).

The spelling of 1222200000100 in words is "one trillion, two hundred twenty-two billion, two hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 41 50 82 100 101 164 202 205 271 404 410 505 542 820 1010 1025 1084 1355 2020 2050 2525 2710 4100 4141 5050 5420 6775 8282 10100 10891 11111 13550 16564 20705 21782 22222 27100 27371 41410 43564 44444 54455 54742 55555 82820 103525 108910 109484 111110 136855 207050 217820 222220 272275 273710 277775 414100 446531 544550 547420 555550 684275 893062 1089100 1099991 1111100 1122211 1368550 1786124 2199982 2232655 2244422 2737100 2951461 4399964 4465310 4488844 5499955 5611055 5902922 8930620 10999910 11163275 11222110 11805844 14757305 21999820 22326550 22444220 27499775 28055275 29514610 44653100 45099631 54999550 56110550 59029220 73786525 90199262 109999100 112221100 121009901 147573050 180398524 225498155 242019802 295146100 298097561 450996310 484039604 596195122 605049505 901992620 1127490775 1192390244 1210099010 1490487805 2254981550 2420198020 2980975610 3025247525 4509963100 5961951220 6050495050 7452439025 12100990100 12222000001 14904878050 24444000002 29809756100 48888000004 61110000005 122220000010 244440000020 305550000025 611100000050 1222200000100