Search a number
-
+
102011212100 = 22527145730303
BaseRepresentation
bin101111100000001010…
…1111001000101000100
3100202022100002111120202
41133000111321011010
53132404332241400
6114510250150032
710240634665430
oct1370025710504
9322270074522
10102011212100
113a298740566
121792b422318
1398093b1285
144d1a1d79c0
1529c0ab44d5
hex17c0579144

102011212100 has 36 divisors (see below), whose sum is σ = 252987807744. Its totient is φ = 34975272480.

The previous prime is 102011212081. The next prime is 102011212201. The reversal of 102011212100 is 1212110201.

It is a super-2 number, since 2×1020112121002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72864452 + ... + 72865851.

It is an arithmetic number, because the mean of its divisors is an integer number (7027439104).

Almost surely, 2102011212100 is an apocalyptic number.

102011212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011212100 is an abundant number, since it is smaller than the sum of its proper divisors (150976595644).

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

102011212100 is a wasteful number, since it uses less digits than its factorization.

102011212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145730324 (or 145730317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102011212100 its reverse (1212110201), we get a palindrome (103223322301).

The spelling of 102011212100 in words is "one hundred two billion, eleven million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 145730303 291460606 582921212 728651515 1020112121 1457303030 2040224242 2914606060 3643257575 4080448484 5100560605 7286515150 10201121210 14573030300 20402242420 25502803025 51005606050 102011212100