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102010121000 = 2353635316057
BaseRepresentation
bin101111100000001000…
…1101110101100101000
3100202022021001001212122
41133000101232230220
53132404042333000
6114510210530412
710240622502404
oct1370021565450
9322267031778
10102010121000
113a298065827
121792ab96a08
1398090bb758
144d19dd2104
1529c094b085
hex17c046eb28

102010121000 has 64 divisors (see below), whose sum is σ = 238756124880. Its totient is φ = 40795084800.

The previous prime is 102010120999. The next prime is 102010121027. The reversal of 102010121000 is 121010201.

It can be written as a sum of positive squares in 8 ways, for example, as 1927736836 + 100082384164 = 43906^2 + 316358^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6344972 + ... + 6361028.

Almost surely, 2102010121000 is an apocalyptic number.

102010121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010121000 is an abundant number, since it is smaller than the sum of its proper divisors (136746003880).

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

102010121000 is a wasteful number, since it uses less digits than its factorization.

102010121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22431 (or 22417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102010121000 its reverse (121010201), we get a palindrome (102131131201).

It can be divided in two parts, 102010 and 121000, that multiplied together give a square (12343210000 = 1111002).

The spelling of 102010121000 in words is "one hundred two billion, ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 6353 12706 16057 25412 31765 32114 50824 63530 64228 80285 127060 128456 158825 160570 254120 317650 321140 401425 635300 642280 794125 802850 1270600 1588250 1605700 2007125 3176500 3211400 4014250 6353000 8028500 16057000 102010121 204020242 408040484 510050605 816080968 1020101210 2040202420 2550253025 4080404840 5100506050 10201012100 12751265125 20402024200 25502530250 51005060500 102010121000