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22120200000100 = 22521763463205031
BaseRepresentation
bin1010000011110010000101…
…01010011101001001100100
32220022200002202211000200101
411001321002222131021210
510344404132200000400
6115013513554153444
74442063114460016
oct501710252351144
986280082730611
1022120200000100
117059140255a84
122593062282884
13c45c062b9807
145668a28361b6
152855e567356a
hex141e42a9d264

22120200000100 has 72 divisors (see below), whose sum is σ = 50825461212288. Its totient is φ = 8327432870400.

The previous prime is 22120200000077. The next prime is 22120200000127. The reversal of 22120200000100 is 100000202122.

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

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 23 ways as a sum of consecutive naturals, for example, 107784585 + ... + 107989615.

It is an arithmetic number, because the mean of its divisors is an integer number (705909183504).

Almost surely, 222120200000100 is an apocalyptic number.

22120200000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120200000100 is an abundant number, since it is smaller than the sum of its proper divisors (28705261212188).

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

22120200000100 is a wasteful number, since it uses less digits than its factorization.

22120200000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268525 (or 268518 counting only the distinct ones).

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

Adding to 22120200000100 its reverse (100000202122), we get a palindrome (22220200202222).

The spelling of 22120200000100 in words is "twenty-two trillion, one hundred twenty billion, two hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 63463 126926 205031 253852 317315 410062 634630 820124 1025155 1078871 1269260 1586575 2050310 2157742 3173150 3485527 4100620 4315484 5125775 5394355 6346300 6971054 10251550 10788710 13942108 17427635 20503100 21577420 26971775 34855270 53943550 69710540 87138175 107887100 174276350 348552700 13011882353 26023764706 52047529412 65059411765 130118823530 221202000001 260237647060 325297058825 442404000002 650594117650 884808000004 1106010000005 1301188235300 2212020000010 4424040000020 5530050000025 11060100000050 22120200000100