Search a number
-
+
102002211000 = 23325311333579
BaseRepresentation
bin101111011111111001…
…1100011100010111000
3100202021201011012101200
41132333303203202320
53132400031223000
6114505325214200
710240465326234
oct1367763434270
9322251135350
10102002211000
113a293652938
1217928401360
13980757c291
144d18d335c4
1529bedd7500
hex17bfce38b8

102002211000 has 96 divisors (see below), whose sum is σ = 344767503600. Its totient is φ = 27200587200.

The previous prime is 102002210941. The next prime is 102002211029. The reversal of 102002211000 is 112200201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5657790 + ... + 5675789.

Almost surely, 2102002211000 is an apocalyptic number.

102002211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002211000 is an abundant number, since it is smaller than the sum of its proper divisors (242765292600).

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

102002211000 is a wasteful number, since it uses less digits than its factorization.

102002211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333606 (or 11333589 counting only the distinct ones).

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

Adding to 102002211000 its reverse (112200201), we get a palindrome (102114411201).

The spelling of 102002211000 in words is "one hundred two billion, two million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 11333579 22667158 34000737 45334316 56667895 68001474 90668632 102002211 113335790 136002948 170003685 204004422 226671580 272005896 283339475 340007370 408008844 453343160 510011055 566678950 680014740 816017688 850018425 1020022110 1133357900 1360029480 1416697375 1700036850 2040044220 2266715800 2550055275 2833394750 3400073700 4080088440 4250092125 5100110550 5666789500 6800147400 8500184250 10200221100 11333579000 12750276375 17000368500 20400442200 25500552750 34000737000 51001105500 102002211000