Search a number
-
+
102002010220 = 2251133831781
BaseRepresentation
bin101111011111111001…
…0110010100001101100
3100202021200202222222101
41132333302302201230
53132400003311340
6114505321024444
710240463531665
oct1367762624154
9322250688871
10102002010220
113a293526000
1217928325124
13980750ba86
144d18cc036c
1529bed97c9a
hex17bfcb286c

102002010220 has 48 divisors (see below), whose sum is σ = 235608611616. Its totient is φ = 37091630400.

The previous prime is 102002010217. The next prime is 102002010223. The reversal of 102002010220 is 22010200201.

It is an interprime number because it is at equal distance from previous prime (102002010217) and next prime (102002010223).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102002010197 and 102002010206.

It is not an unprimeable number, because it can be changed into a prime (102002010223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1889271 + ... + 1942510.

It is an arithmetic number, because the mean of its divisors is an integer number (4908512742).

Almost surely, 2102002010220 is an apocalyptic number.

102002010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002010220 is an abundant number, since it is smaller than the sum of its proper divisors (133606601396).

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

102002010220 is a wasteful number, since it uses less digits than its factorization.

102002010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831823 (or 3831799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102002010220 its reverse (22010200201), we get a palindrome (124012210421).

The spelling of 102002010220 in words is "one hundred two billion, two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 13310 26620 3831781 7663562 15327124 19158905 38317810 42149591 76635620 84299182 168598364 210747955 421495910 463645501 842991820 927291002 1854582004 2318227505 4636455010 5100100511 9272910020 10200201022 20400402044 25500502555 51001005110 102002010220