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10220020222100 = 22521341177190921
BaseRepresentation
bin1001010010111000100010…
…1011001100100010010100
31100012000122210002121002012
42110232020223030202110
52314421100134101400
633423002410003352
72103241425360623
oct224561053144224
940160583077065
1010220020222100
113290316a86417
121190860116558
135919890b2860
1427491a07b6ba
1512aca5cc9d35
hex94b88acc894

10220020222100 has 72 divisors (see below), whose sum is σ = 23884106220408. Its totient is φ = 3773434521600.

The previous prime is 10220020222079. The next prime is 10220020222103. The reversal of 10220020222100 is 122202002201.

It can be written as a sum of positive squares in 12 ways, for example, as 5770814671504 + 4449205550596 = 2402252^2 + 2109314^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220020222103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53434640 + ... + 53625560.

Almost surely, 210220020222100 is an apocalyptic number.

10220020222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220020222100 is an abundant number, since it is smaller than the sum of its proper divisors (13664085998308).

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

10220020222100 is a wasteful number, since it uses less digits than its factorization.

10220020222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232125 (or 232118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220020222100 its reverse (122202002201), we get a palindrome (10342222224301).

The spelling of 10220020222100 in words is "ten trillion, two hundred twenty billion, twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 41177 82354 164708 190921 205885 381842 411770 535301 763684 823540 954605 1029425 1070602 1909210 2058850 2141204 2481973 2676505 3818420 4117700 4773025 4963946 5353010 9546050 9927892 10706020 12409865 13382525 19092100 24819730 26765050 49639460 53530100 62049325 124098650 248197300 7861554017 15723108034 31446216068 39307770085 78615540170 102200202221 157231080340 196538850425 204400404442 393077700850 408800808884 511001011105 786155401700 1022002022210 2044004044420 2555005055525 5110010111050 10220020222100