Search a number
-
+
102100201020 = 22325567223339
BaseRepresentation
bin101111100010110100…
…1010110111000111100
3100202112112112121102200
41133011221112320330
53133100122413040
6114523145351500
710243065250356
oct1370551267074
9322475477380
10102100201020
113a3339a1224
1217955198590
13982196ac3c
144d27d600d6
1529c87e1630
hex17c5a56e3c

102100201020 has 36 divisors (see below), whose sum is σ = 309703943640. Its totient is φ = 27226720224.

The previous prime is 102100201019. The next prime is 102100201031. The reversal of 102100201020 is 20102001201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102100200993 and 102100201011.

It is a congruent number.

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, 283611490 + ... + 283611849.

Almost surely, 2102100201020 is an apocalyptic number.

102100201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100201020 is an abundant number, since it is smaller than the sum of its proper divisors (207603742620).

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

102100201020 is a wasteful number, since it uses less digits than its factorization.

102100201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567223354 (or 567223349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102100201020 its reverse (20102001201), we get a palindrome (122202202221).

The spelling of 102100201020 in words is "one hundred two billion, one hundred million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 567223339 1134446678 1701670017 2268893356 2836116695 3403340034 5105010051 5672233390 6806680068 8508350085 10210020102 11344466780 17016700170 20420040204 25525050255 34033400340 51050100510 102100201020