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2101992530625 = 325413214872
BaseRepresentation
bin11110100101101000100…
…001001010001011000001
321102221121110210020101100
4132211220201022023001
5233414340041440000
64245350402525013
7304602222465531
oct36455041121301
97387543706340
102101992530625
117404a4a91709
1229b469066769
131232a8b04400
1473a463c34c1
1539a27101a00
hex1e96884a2c1

2101992530625 has 135 divisors (see below), whose sum is σ = 4111114493343. Its totient is φ = 1034131176000.

The previous prime is 2101992530569. The next prime is 2101992530629. The reversal of 2101992530625 is 5260352991012.

The square root of 2101992530625 is 1449825.

It is a perfect power (a square), and thus also a powerful number.

2101992530625 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 9 + 92 + 530 + 6 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2076201455409 + 25791075216 = 1440903^2 + 160596^2 .

It is not a de Polignac number, because 2101992530625 - 213 = 2101992522433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2101992530629) 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 134 ways as a sum of consecutive naturals, for example, 1413578632 + ... + 1413580118.

Almost surely, 22101992530625 is an apocalyptic number.

2101992530625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2101992530625 is the 1449825-th square number.

2101992530625 is the 724913-rd centered octagonal number.

It is an amenable number.

2101992530625 is a deficient number, since it is larger than the sum of its proper divisors (2009121962718).

2101992530625 is an frugal number, since it uses more digits than its factorization.

2101992530625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 2101992530625 in words is "two trillion, one hundred one billion, nine hundred ninety-two million, five hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 169 195 225 325 375 507 585 625 845 975 1125 1487 1521 1625 1875 2535 2925 4225 4461 4875 5625 7435 7605 8125 12675 13383 14625 19331 21125 22305 24375 37175 38025 57993 63375 66915 73125 96655 105625 111525 173979 185875 190125 251303 289965 316875 334575 483275 557625 753909 869895 929375 950625 1256515 1449825 1672875 2211169 2261727 2416375 2788125 3769545 4349475 6282575 6633507 7249125 8364375 11055845 11308635 12081875 18847725 19900521 21747375 28745197 31412875 33167535 36245625 55279225 56543175 86235591 94238625 99502605 108736875 143725985 157064375 165837675 258706773 276396125 282715875 373687561 431177955 471193125 497513025 718629925 829188375 1121062683 1293533865 1381980625 1413579375 1868437805 2155889775 2487565125 3363188049 3593149625 4145941875 5605313415 6467669325 9342189025 10779448875 12437825625 16815940245 17965748125 28026567075 32338346625 46710945125 53897244375 84079701225 140132835375 161691733125 233554725625 420398506125 700664176875 2101992530625