Search a number
-
+
102211111020 = 22353746041041
BaseRepresentation
bin101111100110001000…
…0011100100001101100
3100202211021020102100110
41133030100130201230
53133312021023040
6114542150500020
710245613052214
oct1371420344154
9322737212313
10102211111020
113a390564587
1217986364610
13983b931565
144d38991244
1529d33ed980
hex17cc41c86c

102211111020 has 48 divisors (see below), whose sum is σ = 293926012128. Its totient is φ = 26519639040.

The previous prime is 102211110997. The next prime is 102211111031. The reversal of 102211111020 is 20111112201.

It is a super-2 number, since 2×1022111110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102211110987 and 102211111005.

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, 23018301 + ... + 23022740.

It is an arithmetic number, because the mean of its divisors is an integer number (6123458586).

Almost surely, 2102211111020 is an apocalyptic number.

102211111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211111020 is an abundant number, since it is smaller than the sum of its proper divisors (191714901108).

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

102211111020 is a wasteful number, since it uses less digits than its factorization.

102211111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46041090 (or 46041088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102211111020 its reverse (20111112201), we get a palindrome (122322223221).

The spelling of 102211111020 in words is "one hundred two billion, two hundred eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 46041041 92082082 138123123 184164164 230205205 276246246 460410410 552492492 690615615 920820820 1381231230 1703518517 2762462460 3407037034 5110555551 6814074068 8517592585 10221111102 17035185170 20442222204 25552777755 34070370340 51105555510 102211111020