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10220200002100 = 22521115759178923
BaseRepresentation
bin1001010010111001001101…
…1001000000001000110100
31100012001010022101100212201
42110232103121000020310
52314421432200031400
633423032311154244
72103246040441564
oct224562331001064
940161108340781
1010220200002100
1132903a9508830
1211908b0375984
135919b740a55a
14274935cb8da4
1512acb698d06a
hex94b93640234

10220200002100 has 72 divisors (see below), whose sum is σ = 24348103059168. Its totient is φ = 3692764732800.

The previous prime is 10220200002071. The next prime is 10220200002107. The reversal of 10220200002100 is 120000202201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220200002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29416762 + ... + 29762161.

It is an arithmetic number, because the mean of its divisors is an integer number (338168098044).

Almost surely, 210220200002100 is an apocalyptic number.

10220200002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220200002100 is an abundant number, since it is smaller than the sum of its proper divisors (14127903057068).

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

10220200002100 is a wasteful number, since it uses less digits than its factorization.

10220200002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59179105 (or 59179098 counting only the distinct ones).

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

Adding to 10220200002100 its reverse (120000202201), we get a palindrome (10340200204301).

The spelling of 10220200002100 in words is "ten trillion, two hundred twenty billion, two hundred million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 157 220 275 314 550 628 785 1100 1570 1727 3140 3454 3925 6908 7850 8635 15700 17270 34540 43175 86350 172700 59178923 118357846 236715692 295894615 591789230 650968153 1183578460 1301936306 1479473075 2603872612 2958946150 3254840765 5917892300 6509681530 9291090911 13019363060 16274203825 18582181822 32548407650 37164363644 46455454555 65096815300 92910909110 102202000021 185821818220 204404000042 232277272775 408808000084 464554545550 511010000105 929109091100 1022020000210 2044040000420 2555050000525 5110100001050 10220200002100